tidy3d.HeatSimulation#

class tidy3d.HeatSimulation(*, type: Literal['HeatSimulation'] = 'HeatSimulation', center: Tuple[float, float, float] = (0.0, 0.0, 0.0), size: Tuple[pydantic.v1.types.NonNegativeFloat, pydantic.v1.types.NonNegativeFloat, pydantic.v1.types.NonNegativeFloat], medium: Union[tidy3d.components.medium.Medium, tidy3d.components.medium.AnisotropicMedium, tidy3d.components.medium.PECMedium, tidy3d.components.medium.PoleResidue, tidy3d.components.medium.Sellmeier, tidy3d.components.medium.Lorentz, tidy3d.components.medium.Debye, tidy3d.components.medium.Drude, tidy3d.components.medium.FullyAnisotropicMedium, tidy3d.components.medium.CustomMedium, tidy3d.components.medium.CustomPoleResidue, tidy3d.components.medium.CustomSellmeier, tidy3d.components.medium.CustomLorentz, tidy3d.components.medium.CustomDebye, tidy3d.components.medium.CustomDrude, tidy3d.components.medium.CustomAnisotropicMedium, tidy3d.components.medium.PerturbationMedium, tidy3d.components.medium.PerturbationPoleResidue] = Medium(name=None, frequency_range=None, allow_gain=False, nonlinear_spec=None, modulation_spec=None, heat_spec=None, type='Medium', permittivity=1.0, conductivity=0.0), structures: Tuple[tidy3d.components.structure.Structure, ...] = (), symmetry: Tuple[Literal[0, 1], Literal[0, 1], Literal[0, 1]] = (0, 0, 0), sources: Tuple[tidy3d.components.heat.source.UniformHeatSource, ...] = (), boundary_spec: Tuple[tidy3d.components.heat.boundary.HeatBoundarySpec, ...] = (), monitors: Tuple[tidy3d.components.heat.monitor.TemperatureMonitor, ...] = (), grid_spec: Union[tidy3d.components.heat.grid.UniformUnstructuredGrid, tidy3d.components.heat.grid.DistanceUnstructuredGrid], version: str = '2.5.2')#

Bases: tidy3d.components.base_sim.simulation.AbstractSimulation

Contains all information about heat simulation.

Parameters
  • center (Tuple[float, float, float] = (0.0, 0.0, 0.0)) – [units = um]. Center of object in x, y, and z.

  • size (Tuple[NonNegativeFloat, NonNegativeFloat, NonNegativeFloat]) – [units = um]. Size in x, y, and z directions.

  • medium (Union[Medium, AnisotropicMedium, PECMedium, PoleResidue, Sellmeier, Lorentz, Debye, Drude, FullyAnisotropicMedium, CustomMedium, CustomPoleResidue, CustomSellmeier, CustomLorentz, CustomDebye, CustomDrude, CustomAnisotropicMedium, PerturbationMedium, PerturbationPoleResidue] = Medium(name=None, frequency_range=None, allow_gain=False, nonlinear_spec=None, modulation_spec=None, heat_spec=None, type='Medium', permittivity=1.0, conductivity=0.0)) – Background medium of simulation, defaults to vacuum if not specified.

  • structures (Tuple[Structure, ...] = ()) – Tuple of structures present in simulation. Note: Structures defined later in this list override the simulation material properties in regions of spatial overlap.

  • symmetry (Tuple[Literal[0, 1], Literal[0, 1], Literal[0, 1]] = (0, 0, 0)) – Tuple of integers defining reflection symmetry across a plane bisecting the simulation domain normal to the x-, y-, and z-axis at the simulation center of each axis, respectively. Each element can be 0 (symmetry off) or 1 (symmetry on).

  • sources (Tuple[UniformHeatSource, ...] = ()) – List of heat sources.

  • boundary_spec (Tuple[HeatBoundarySpec, ...] = ()) – List of boundary condition specifications.

  • monitors (Tuple[TemperatureMonitor, ...] = ()) – Monitors in the simulation.

  • grid_spec (Union[UniformUnstructuredGrid, DistanceUnstructuredGrid]) – Grid specification for heat simulation.

  • version (str = 2.5.2) – String specifying the front end version number.

Example

>>> from tidy3d import Medium, SolidSpec, FluidSpec, UniformUnstructuredGrid, TemperatureMonitor
>>> heat_sim = HeatSimulation(
...     size=(3.0, 3.0, 3.0),
...     structures=[
...         Structure(
...             geometry=Box(size=(1, 1, 1), center=(0, 0, 0)),
...             medium=Medium(
...                 permittivity=2.0, heat_spec=SolidSpec(
...                     conductivity=1,
...                     capacity=1,
...                 )
...             ),
...             name="box",
...         ),
...     ],
...     medium=Medium(permittivity=3.0, heat_spec=FluidSpec()),
...     grid_spec=UniformUnstructuredGrid(dl=0.1),
...     sources=[UniformHeatSource(rate=1, structures=["box"])],
...     boundary_spec=[
...         HeatBoundarySpec(
...             placement=StructureBoundary(structure="box"),
...             condition=TemperatureBC(temperature=500),
...         )
...     ],
...     monitors=[TemperatureMonitor(size=(1, 2, 3), name="sample")],
... )
__init__(**kwargs)#

Init method, includes post-init validators.

Methods

__init__(**kwargs)

Init method, includes post-init validators.

add_ax_labels_lims(axis, ax[, buffer])

Sets the x,y labels based on axis and the extends based on self.bounds.

add_type_field()

Automatically place "type" field with model name in the model field dictionary.

bounds_intersection(bounds1, bounds2)

Return the bounds that are the intersection of two bounds.

car_2_sph(x, y, z)

Convert Cartesian to spherical coordinates.

car_2_sph_field(f_x, f_y, f_z, theta, phi)

Convert vector field components in cartesian coordinates to spherical.

check_unsupported_geometries(val)

Error if structures contain unsupported yet geometries.

check_zero_dim_domain(val, values)

Error if heat domain have zero dimensions.

construct([_fields_set])

Creates a new model setting __dict__ and __fields_set__ from trusted or pre-validated data.

copy(**kwargs)

Copy a Tidy3dBaseModel.

dict(*[, include, exclude, by_alias, ...])

Generate a dictionary representation of the model, optionally specifying which fields to include or exclude.

dict_from_file(fname[, group_path])

Loads a dictionary containing the model from a .yaml, .json, .hdf5, or .hdf5.gz file.

dict_from_hdf5(fname[, group_path, ...])

Loads a dictionary containing the model contents from a .hdf5 file.

dict_from_hdf5_gz(fname[, group_path, ...])

Loads a dictionary containing the model contents from a .hdf5.gz file.

dict_from_json(fname)

Load dictionary of the model from a .json file.

dict_from_yaml(fname)

Load dictionary of the model from a .yaml file.

evaluate_inf_shape(shape)

Returns a copy of shape with inf vertices replaced by large numbers if polygon.

from_bounds(rmin, rmax, **kwargs)

Constructs a Box from minimum and maximum coordinate bounds

from_file(fname[, group_path])

Loads a Tidy3dBaseModel from .yaml, .json, .hdf5, or .hdf5.gz file.

from_gds(gds_cell, axis, slab_bounds, gds_layer)

Import a gdstk.Cell or a gdspy.Cell and extrude it into a GeometryGroup.

from_hdf5(fname[, group_path, custom_decoders])

Loads Tidy3dBaseModel instance to .hdf5 file.

from_hdf5_gz(fname[, group_path, ...])

Loads Tidy3dBaseModel instance to .hdf5.gz file.

from_json(fname, **parse_obj_kwargs)

Load a Tidy3dBaseModel from .json file.

from_orm(obj)

from_scene(scene, **kwargs)

Create a simulation from a :class:.`Scene` instance.

from_shapely(shape, axis, slab_bounds[, ...])

Convert a shapely primitive into a geometry instance by extrusion.

from_yaml(fname, **parse_obj_kwargs)

Loads Tidy3dBaseModel from .yaml file.

generate_docstring()

Generates a docstring for a Tidy3D mode and saves it to the __doc__ of the class.

get_monitor_by_name(name)

Return monitor named 'name'.

get_sub_model(group_path, model_dict)

Get the sub model for a given group path.

get_submodels_by_hash()

Return a dictionary of this object's sub-models indexed by their hash values.

get_tuple_group_name(index)

Get the group name of a tuple element.

get_tuple_index(key_name)

Get the index into the tuple based on its group name.

help([methods])

Prints message describing the fields and methods of a Tidy3dBaseModel.

inside(x, y, z)

For input arrays x, y, z of arbitrary but identical shape, return an array with the same shape which is True for every point in zip(x, y, z) that is inside the volume of the Geometry, and False otherwise.

inside_meshgrid(x, y, z)

Perform self.inside on a set of sorted 1D coordinates.

intersections_2dbox(plane)

Returns list of shapely geometries representing the intersections of the geometry with a 2D box.

intersections_plane([x, y, z])

Returns shapely geometry at plane specified by one non None value of x,y,z.

intersections_tilted_plane(normal, origin, to_2D)

Return a list of shapely geometries at the plane specified by normal and origin.

intersections_with(other)

Returns list of shapely geometries representing the intersections of the geometry with this 2D box.

intersects(other)

Returns True if two Geometry have intersecting .bounds.

intersects_axis_position(axis, position)

Whether self intersects plane specified by a given position along a normal axis.

intersects_plane([x, y, z])

Whether self intersects plane specified by one non-None value of x,y,z.

json(*[, include, exclude, by_alias, ...])

Generate a JSON representation of the model, include and exclude arguments as per dict().

kspace_2_sph(ux, uy, axis)

Convert normalized k-space coordinates to angles.

load_gds_vertices_gdspy(gds_cell, gds_layer)

Load polygon vertices from a gdspy.Cell.

load_gds_vertices_gdstk(gds_cell, gds_layer)

Load polygon vertices from a gdstk.Cell.

names_exist_bcs(val, values)

Error if boundary conditions point to non-existing structures/media.

names_exist_grid_spec(val, values)

Warn if UniformUnstructuredGrid points at a non-existing structure.

names_exist_sources(val, values)

Error if a heat source point to non-existing structures.

parse_file(path, *[, content_type, ...])

parse_obj(obj)

parse_raw(b, *[, content_type, encoding, ...])

parse_xyz_kwargs(**xyz)

Turns x,y,z kwargs into index of the normal axis and position along that axis.

plot([x, y, z, ax, source_alpha, ...])

Plot each of simulation's components on a plane defined by one nonzero x,y,z coordinate.

plot_boundaries([x, y, z, ax])

Plot each of simulation's boundary conditions on a plane defined by one nonzero x,y,z coordinate.

plot_heat_conductivity([x, y, z, ax, alpha, ...])

Plot each of simulation's components on a plane defined by one nonzero x,y,z coordinate.

plot_monitors([x, y, z, hlim, vlim, alpha, ax])

Plot each of simulation's monitors on a plane defined by one nonzero x,y,z coordinate.

plot_shape(shape, plot_params, ax)

Defines how a shape is plotted on a matplotlib axes.

plot_sources([x, y, z, hlim, vlim, alpha, ax])

Plot each of simulation's sources on a plane defined by one nonzero x,y,z coordinate.

plot_structures([x, y, z, ax, hlim, vlim])

Plot each of simulation's structures on a plane defined by one nonzero x,y,z coordinate.

plot_structures_eps([x, y, z, freq, alpha, ...])

Plot each of simulation's structures on a plane defined by one nonzero x,y,z coordinate.

plot_structures_heat_conductivity([x, y, z, ...])

Plot each of simulation's structures on a plane defined by one nonzero x,y,z coordinate.

plot_symmetries([x, y, z, hlim, vlim, ax])

Plot each of simulation's symmetries on a plane defined by one nonzero x,y,z coordinate.

pop_axis(coord, axis)

Separates coordinate at axis index from coordinates on the plane tangent to axis.

reflect_points(points, polar_axis, ...)

Reflect a set of points in 3D at a plane passing through the coordinate origin defined and normal to a given axis defined in polar coordinates (theta, phi) w.r.t.

rotate_points(points, axis, angle)

Rotate a set of points in 3D.

rotated(angle, axis)

Return a rotated copy of this geometry.

scaled([x, y, z])

Return a scaled copy of this geometry.

schema([by_alias, ref_template])

schema_json(*[, by_alias, ref_template])

sph_2_car(r, theta, phi)

Convert spherical to Cartesian coordinates.

sph_2_car_field(f_r, f_theta, f_phi, theta, phi)

Convert vector field components in spherical coordinates to cartesian.

surface_area([bounds])

Returns object's surface area with optional bounds.

surfaces(size, center, **kwargs)

Returns a list of 6 Box instances corresponding to each surface of a 3D volume.

surfaces_with_exclusion(size, center, **kwargs)

Returns a list of 6 Box instances corresponding to each surface of a 3D volume.

to_file(fname)

Exports Tidy3dBaseModel instance to .yaml, .json, or .hdf5 file

to_gds(cell[, x, y, z, gds_layer, gds_dtype])

Append a Geometry object's planar slice to a .gds cell.

to_gds_file(fname[, x, y, z, gds_layer, ...])

Export a Geometry object's planar slice to a .gds file.

to_gdspy([x, y, z, gds_layer, gds_dtype])

Convert a Geometry object's planar slice to a .gds type polygon.

to_gdstk([x, y, z, gds_layer, gds_dtype])

Convert a Geometry object's planar slice to a .gds type polygon.

to_hdf5(fname[, custom_encoders])

Exports Tidy3dBaseModel instance to .hdf5 file.

to_hdf5_gz(fname[, custom_encoders])

Exports Tidy3dBaseModel instance to .hdf5.gz file.

to_json(fname)

Exports Tidy3dBaseModel instance to .json file

to_yaml(fname)

Exports Tidy3dBaseModel instance to .yaml file.

translated(x, y, z)

Return a translated copy of this geometry.

tuple_to_dict(tuple_values)

How we generate a dictionary mapping new keys to tuple values for hdf5.

unpop_axis(ax_coord, plane_coords, axis)

Combine coordinate along axis with coordinates on the plane tangent to the axis.

update_forward_refs(**localns)

Try to update ForwardRefs on fields based on this Model, globalns and localns.

updated_copy(**kwargs)

Make copy of a component instance with **kwargs indicating updated field values.

validate(value)

volume([bounds])

Returns object's volume with optional bounds.

Attributes

bounding_box

Returns Box representation of the bounding box of a Geometry.

bounds

Returns bounding box min and max coordinates.

geometry

Box representation of self (used for subclasses of Box).

plot_params

Default parameters for plotting a Geometry object.

scene

Scene instance associated with the simulation.

simulation_bounds

Simulation bounds including auxiliary boundary zones such as PML layers.

simulation_geometry

The entire simulation domain including auxiliary boundary zones such as PML layers.

simulation_structure

Returns structure representing the domain of the simulation.

source_bounds

Compute range of heat sources present in the simulation.

zero_dims

A list of axes along which the Box is zero-sized.

boundary_spec

sources

monitors

grid_spec

symmetry

class Config#

Bases: object

Sets config for all Tidy3dBaseModel objects.

allow_population_by_field_namebool = True

Allow properties to stand in for fields(?).

arbitrary_types_allowedbool = True

Allow types like numpy arrays.

extrastr = ‘forbid’

Forbid extra kwargs not specified in model.

json_encodersDict[type, Callable]

Defines how to encode type in json file.

validate_allbool = True

Validate default values just to be safe.

validate_assignmentbool

Re-validate after re-assignment of field in model.

__add__(other)#

Union of geometries

__and__(other)#

Intersection of geometries

__eq__(other)#

Define == for two Tidy3DBaseModels.

__ge__(other)#

define >= for getting unique indices based on hash.

__gt__(other)#

define > for getting unique indices based on hash.

__hash__() int#

Hash method.

classmethod __init_subclass__() None#

Things that are done to each of the models.

__invert__()#

Opposite of a geometry

__iter__() TupleGenerator#

so dict(model) works

__le__(other)#

define <= for getting unique indices based on hash.

__lt__(other)#

define < for getting unique indices based on hash.

__mul__(other)#

Intersection of geometries

__neg__()#

Opposite of a geometry

__or__(other)#

Union of geometries

__pos__()#

No op

__pretty__(fmt: Callable[[Any], Any], **kwargs: Any) Generator[Any, None, None]#

Used by devtools (https://python-devtools.helpmanual.io/) to provide a human readable representations of objects

__radd__(other)#

Union of geometries

__repr_name__() str#

Name of the instance’s class, used in __repr__.

__rich_repr__() RichReprResult#

Get fields for Rich library

__sub__(other)#

Difference of geometries

classmethod __try_update_forward_refs__(**localns: Any) None#

Same as update_forward_refs but will not raise exception when forward references are not defined.

__xor__(other)#

Symmetric difference of geometries

add_ax_labels_lims(axis: Literal[0, 1, 2], ax: matplotlib.axes._axes.Axes, buffer: float = 0.3) matplotlib.axes._axes.Axes#

Sets the x,y labels based on axis and the extends based on self.bounds.

Parameters
  • axis (int) – Integer index into ‘xyz’ (0,1,2).

  • ax (matplotlib.axes._subplots.Axes) – Matplotlib axes to add labels and limits on.

  • buffer (float = 0.3) – Amount of space to place around the limits on the + and - sides.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

classmethod add_type_field() None#

Automatically place “type” field with model name in the model field dictionary.

property bounding_box#

Returns Box representation of the bounding box of a Geometry.

Returns

Geometric object representing bounding box.

Return type

Box

property bounds: Tuple[Tuple[float, float, float], Tuple[float, float, float]]#

Returns bounding box min and max coordinates.

Returns

Min and max bounds packaged as (minx, miny, minz), (maxx, maxy, maxz).

Return type

Tuple[float, float, float], Tuple[float, float float]

static bounds_intersection(bounds1: Tuple[Tuple[float, float, float], Tuple[float, float, float]], bounds2: Tuple[Tuple[float, float, float], Tuple[float, float, float]]) Tuple[Tuple[float, float, float], Tuple[float, float, float]]#

Return the bounds that are the intersection of two bounds.

static car_2_sph(x: float, y: float, z: float) Tuple[float, float, float]#

Convert Cartesian to spherical coordinates.

Parameters
  • x (float) – x coordinate relative to local_origin.

  • y (float) – y coordinate relative to local_origin.

  • z (float) – z coordinate relative to local_origin.

Returns

r, theta, and phi coordinates relative to local_origin.

Return type

Tuple[float, float, float]

static car_2_sph_field(f_x: float, f_y: float, f_z: float, theta: float, phi: float) Tuple[complex, complex, complex]#

Convert vector field components in cartesian coordinates to spherical.

Parameters
  • f_x (float) – x component of the vector field.

  • f_y (float) – y component of the vector fielf.

  • f_z (float) – z component of the vector field.

  • theta (float) – polar angle (rad) of location of the vector field.

  • phi (float) – azimuthal angle (rad) of location of the vector field.

Returns

radial (s), elevation (theta), and azimuthal (phi) components of the vector field in spherical coordinates.

Return type

Tuple[float, float, float]

classmethod check_unsupported_geometries(val)#

Error if structures contain unsupported yet geometries.

classmethod check_zero_dim_domain(val, values)#

Error if heat domain have zero dimensions.

classmethod construct(_fields_set: Optional[SetStr] = None, **values: Any) Model#

Creates a new model setting __dict__ and __fields_set__ from trusted or pre-validated data. Default values are respected, but no other validation is performed. Behaves as if Config.extra = ‘allow’ was set since it adds all passed values

copy(**kwargs) tidy3d.components.base.Tidy3dBaseModel#

Copy a Tidy3dBaseModel. With deep=True as default.

dict(*, include: Optional[Union[AbstractSetIntStr, MappingIntStrAny]] = None, exclude: Optional[Union[AbstractSetIntStr, MappingIntStrAny]] = None, by_alias: bool = False, skip_defaults: Optional[bool] = None, exclude_unset: bool = False, exclude_defaults: bool = False, exclude_none: bool = False) DictStrAny#

Generate a dictionary representation of the model, optionally specifying which fields to include or exclude.

classmethod dict_from_file(fname: str, group_path: Optional[str] = None) dict#

Loads a dictionary containing the model from a .yaml, .json, .hdf5, or .hdf5.gz file.

Parameters
  • fname (str) – Full path to the file to load the Tidy3dBaseModel from.

  • group_path (str, optional) – Path to a group inside the file to use as the base level.

Returns

A dictionary containing the model.

Return type

dict

Example

>>> simulation = Simulation.from_file(fname='folder/sim.json') 
classmethod dict_from_hdf5(fname: str, group_path: str = '', custom_decoders: Optional[List[Callable]] = None) dict#

Loads a dictionary containing the model contents from a .hdf5 file.

Parameters
  • fname (str) – Full path to the .hdf5 file to load the Tidy3dBaseModel from.

  • group_path (str, optional) – Path to a group inside the file to selectively load a sub-element of the model only.

  • custom_decoders (List[Callable]) – List of functions accepting (fname: str, group_path: str, model_dict: dict, key: str, value: Any) that store the value in the model dict after a custom decoding.

Returns

Dictionary containing the model.

Return type

dict

Example

>>> sim_dict = Simulation.dict_from_hdf5(fname='folder/sim.hdf5') 
classmethod dict_from_hdf5_gz(fname: str, group_path: str = '', custom_decoders: Optional[List[Callable]] = None) dict#

Loads a dictionary containing the model contents from a .hdf5.gz file.

Parameters
  • fname (str) – Full path to the .hdf5.gz file to load the Tidy3dBaseModel from.

  • group_path (str, optional) – Path to a group inside the file to selectively load a sub-element of the model only.

  • custom_decoders (List[Callable]) – List of functions accepting (fname: str, group_path: str, model_dict: dict, key: str, value: Any) that store the value in the model dict after a custom decoding.

Returns

Dictionary containing the model.

Return type

dict

Example

>>> sim_dict = Simulation.dict_from_hdf5(fname='folder/sim.hdf5.gz') 
classmethod dict_from_json(fname: str) dict#

Load dictionary of the model from a .json file.

Parameters

fname (str) – Full path to the .json file to load the Tidy3dBaseModel from.

Returns

A dictionary containing the model.

Return type

dict

Example

>>> sim_dict = Simulation.dict_from_json(fname='folder/sim.json') 
classmethod dict_from_yaml(fname: str) dict#

Load dictionary of the model from a .yaml file.

Parameters

fname (str) – Full path to the .yaml file to load the Tidy3dBaseModel from.

Returns

A dictionary containing the model.

Return type

dict

Example

>>> sim_dict = Simulation.dict_from_yaml(fname='folder/sim.yaml') 
static evaluate_inf_shape(shape: shapely.geometry.base.BaseGeometry) shapely.geometry.base.BaseGeometry#

Returns a copy of shape with inf vertices replaced by large numbers if polygon.

classmethod from_bounds(rmin: Tuple[float, float, float], rmax: Tuple[float, float, float], **kwargs)#

Constructs a Box from minimum and maximum coordinate bounds

Parameters
  • rmin (Tuple[float, float, float]) – (x, y, z) coordinate of the minimum values.

  • rmax (Tuple[float, float, float]) – (x, y, z) coordinate of the maximum values.

Example

>>> b = Box.from_bounds(rmin=(-1, -2, -3), rmax=(3, 2, 1))
classmethod from_file(fname: str, group_path: Optional[str] = None, **parse_obj_kwargs) tidy3d.components.base.Tidy3dBaseModel#

Loads a Tidy3dBaseModel from .yaml, .json, .hdf5, or .hdf5.gz file.

Parameters
  • fname (str) – Full path to the file to load the Tidy3dBaseModel from.

  • group_path (str, optional) – Path to a group inside the file to use as the base level. Only for hdf5 files. Starting / is optional.

  • **parse_obj_kwargs – Keyword arguments passed to either pydantic’s parse_obj function when loading model.

Returns

An instance of the component class calling load.

Return type

Tidy3dBaseModel

Example

>>> simulation = Simulation.from_file(fname='folder/sim.json') 
static from_gds(gds_cell, axis: Literal[0, 1, 2], slab_bounds: Tuple[float, float], gds_layer: int, gds_dtype: Optional[int] = None, gds_scale: pydantic.v1.types.PositiveFloat = 1.0, dilation: float = 0.0, sidewall_angle: float = 0, reference_plane: Literal['bottom', 'middle', 'top'] = 'middle') tidy3d.components.geometry.base.Geometry#

Import a gdstk.Cell or a gdspy.Cell and extrude it into a GeometryGroup.

Parameters
  • gds_cell (Union[gdstk.Cell, gdspy.Cell]) – gdstk.Cell or gdspy.Cell containing 2D geometric data.

  • axis (int) – Integer index defining the extrusion axis: 0 (x), 1 (y), or 2 (z).

  • slab_bounds (Tuple[float, float]) – Minimal and maximal positions of the extruded slab along axis.

  • gds_layer (int) – Layer index in the gds_cell.

  • gds_dtype (int = None) – Data-type index in the gds_cell. If None, imports all data for this layer into the returned list.

  • gds_scale (float = 1.0) – Length scale used in GDS file in units of micrometer. For example, if gds file uses nanometers, set gds_scale=1e-3. Must be positive.

  • dilation (float = 0.0) – Dilation (positive) or erosion (negative) amount to be applied to the original polygons.

  • sidewall_angle (float = 0) – Angle of the extrusion sidewalls, away from the vertical direction, in radians. Positive (negative) values result in slabs larger (smaller) at the base than at the top.

  • reference_plane (PlanePosition = "middle") – Reference position of the (dilated/eroded) polygons along the slab axis. One of "middle" (polygons correspond to the center of the slab bounds), "bottom" (minimal slab bound position), or "top" (maximal slab bound position). This value has no effect if sidewall_angle == 0.

Returns

Geometries created from the 2D data.

Return type

Geometry

classmethod from_hdf5(fname: str, group_path: str = '', custom_decoders: Optional[List[Callable]] = None, **parse_obj_kwargs) tidy3d.components.base.Tidy3dBaseModel#

Loads Tidy3dBaseModel instance to .hdf5 file.

Parameters
  • fname (str) – Full path to the .hdf5 file to load the Tidy3dBaseModel from.

  • group_path (str, optional) – Path to a group inside the file to selectively load a sub-element of the model only. Starting / is optional.

  • custom_decoders (List[Callable]) – List of functions accepting (fname: str, group_path: str, model_dict: dict, key: str, value: Any) that store the value in the model dict after a custom decoding.

  • **parse_obj_kwargs – Keyword arguments passed to pydantic’s parse_obj method.

Example

>>> simulation = Simulation.from_hdf5(fname='folder/sim.hdf5') 
classmethod from_hdf5_gz(fname: str, group_path: str = '', custom_decoders: Optional[List[Callable]] = None, **parse_obj_kwargs) tidy3d.components.base.Tidy3dBaseModel#

Loads Tidy3dBaseModel instance to .hdf5.gz file.

Parameters
  • fname (str) – Full path to the .hdf5.gz file to load the Tidy3dBaseModel from.

  • group_path (str, optional) – Path to a group inside the file to selectively load a sub-element of the model only. Starting / is optional.

  • custom_decoders (List[Callable]) – List of functions accepting (fname: str, group_path: str, model_dict: dict, key: str, value: Any) that store the value in the model dict after a custom decoding.

  • **parse_obj_kwargs – Keyword arguments passed to pydantic’s parse_obj method.

Example

>>> simulation = Simulation.from_hdf5_gz(fname='folder/sim.hdf5.gz') 
classmethod from_json(fname: str, **parse_obj_kwargs) tidy3d.components.base.Tidy3dBaseModel#

Load a Tidy3dBaseModel from .json file.

Parameters

fname (str) – Full path to the .json file to load the Tidy3dBaseModel from.

Returns

  • Tidy3dBaseModel – An instance of the component class calling load.

  • **parse_obj_kwargs – Keyword arguments passed to pydantic’s parse_obj method.

Example

>>> simulation = Simulation.from_json(fname='folder/sim.json') 
classmethod from_scene(scene: tidy3d.components.scene.Scene, **kwargs) tidy3d.components.heat.simulation.HeatSimulation#

Create a simulation from a :class:.`Scene` instance. Must provide additional parameters to define a valid simulation (for example, size, grid_spec, etc).

Parameters
  • scene (:class:.`Scene`) – Scene containing structures information.

  • **kwargs – Other arguments

Example

>>> from tidy3d import Scene, Medium, Box, Structure, UniformUnstructuredGrid
>>> box = Structure(
...     geometry=Box(center=(0, 0, 0), size=(1, 2, 3)),
...     medium=Medium(permittivity=5),
... )
>>> scene = Scene(
...     structures=[box],
...     medium=Medium(permittivity=3),
... )
>>> sim = HeatSimulation.from_scene(
...     scene=scene,
...     center=(0, 0, 0),
...     size=(5, 6, 7),
...     grid_spec=UniformUnstructuredGrid(dl=0.4),
... )
static from_shapely(shape: shapely.geometry.base.BaseGeometry, axis: Literal[0, 1, 2], slab_bounds: Tuple[float, float], dilation: float = 0.0, sidewall_angle: float = 0, reference_plane: Literal['bottom', 'middle', 'top'] = 'middle') tidy3d.components.geometry.base.Geometry#

Convert a shapely primitive into a geometry instance by extrusion.

Parameters
  • shape (shapely.geometry.base.BaseGeometry) – Shapely primitive to be converted. It must be a linear ring, a polygon or a collection of any of those.

  • axis (int) – Integer index defining the extrusion axis: 0 (x), 1 (y), or 2 (z).

  • slab_bounds (Tuple[float, float]) – Minimal and maximal positions of the extruded slab along axis.

  • dilation (float) – Dilation of the polygon in the base by shifting each edge along its normal outwards direction by a distance; a negative value corresponds to erosion.

  • sidewall_angle (float = 0) – Angle of the extrusion sidewalls, away from the vertical direction, in radians. Positive (negative) values result in slabs larger (smaller) at the base than at the top.

  • reference_plane (PlanePosition = "middle") – Reference position of the (dilated/eroded) polygons along the slab axis. One of "middle" (polygons correspond to the center of the slab bounds), "bottom" (minimal slab bound position), or "top" (maximal slab bound position). This value has no effect if sidewall_angle == 0.

Returns

Geometry extruded from the 2D data.

Return type

Geometry

classmethod from_yaml(fname: str, **parse_obj_kwargs) tidy3d.components.base.Tidy3dBaseModel#

Loads Tidy3dBaseModel from .yaml file.

Parameters
  • fname (str) – Full path to the .yaml file to load the Tidy3dBaseModel from.

  • **parse_obj_kwargs – Keyword arguments passed to pydantic’s parse_obj method.

Returns

An instance of the component class calling from_yaml.

Return type

Tidy3dBaseModel

Example

>>> simulation = Simulation.from_yaml(fname='folder/sim.yaml') 
classmethod generate_docstring() str#

Generates a docstring for a Tidy3D mode and saves it to the __doc__ of the class.

property geometry#

Box representation of self (used for subclasses of Box).

Returns

Instance of Box representing self’s geometry.

Return type

Box

get_monitor_by_name(name: str) tidy3d.components.base_sim.monitor.AbstractMonitor#

Return monitor named ‘name’.

classmethod get_sub_model(group_path: str, model_dict: dict | list) dict#

Get the sub model for a given group path.

get_submodels_by_hash() Dict[int, List[Union[str, Tuple[str, int]]]]#

Return a dictionary of this object’s sub-models indexed by their hash values.

static get_tuple_group_name(index: int) str#

Get the group name of a tuple element.

static get_tuple_index(key_name: str) int#

Get the index into the tuple based on its group name.

help(methods: bool = False) None#

Prints message describing the fields and methods of a Tidy3dBaseModel.

Parameters

methods (bool = False) – Whether to also print out information about object’s methods.

Example

>>> simulation.help(methods=True) 
inside(x: numpy.ndarray[float], y: numpy.ndarray[float], z: numpy.ndarray[float]) numpy.ndarray[bool]#

For input arrays x, y, z of arbitrary but identical shape, return an array with the same shape which is True for every point in zip(x, y, z) that is inside the volume of the Geometry, and False otherwise.

Parameters
  • x (np.ndarray[float]) – Array of point positions in x direction.

  • y (np.ndarray[float]) – Array of point positions in y direction.

  • z (np.ndarray[float]) – Array of point positions in z direction.

Returns

True for every point that is inside the geometry.

Return type

np.ndarray[bool]

inside_meshgrid(x: numpy.ndarray[float], y: numpy.ndarray[float], z: numpy.ndarray[float]) numpy.ndarray[bool]#

Perform self.inside on a set of sorted 1D coordinates. Applies meshgrid to the supplied coordinates before checking inside.

Parameters
  • x (np.ndarray[float]) – 1D array of point positions in x direction.

  • y (np.ndarray[float]) – 1D array of point positions in y direction.

  • z (np.ndarray[float]) – 1D array of point positions in z direction.

Returns

Array with shape (x.size, y.size, z.size), which is True for every point that is inside the geometry.

Return type

np.ndarray[bool]

intersections_2dbox(plane: tidy3d.components.geometry.base.Box) List[shapely.geometry.base.BaseGeometry]#

Returns list of shapely geometries representing the intersections of the geometry with a 2D box.

Returns

List of 2D shapes that intersect plane. For more details refer to Shapely’s Documentaton.

Return type

List[shapely.geometry.base.BaseGeometry]

intersections_plane(x: Optional[float] = None, y: Optional[float] = None, z: Optional[float] = None)#

Returns shapely geometry at plane specified by one non None value of x,y,z.

Parameters
  • x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

  • y (float = None) – Position of plane in y direction, only one of x,y,z can be specified to define plane.

  • z (float = None) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

Returns

List of 2D shapes that intersect plane. For more details refer to Shapely’s Documentaton.

Return type

List[shapely.geometry.base.BaseGeometry]

intersections_tilted_plane(normal: typing.Tuple[float, float, float], origin: typing.Tuple[float, float, float], to_2D: tidy3d.components.types.ArrayLike[dtype=float, ndim=2, shape=(4, 4)]) List[shapely.geometry.base.BaseGeometry]#

Return a list of shapely geometries at the plane specified by normal and origin.

Parameters
  • normal (Coordinate) – Vector defining the normal direction to the plane.

  • origin (Coordinate) – Vector defining the plane origin.

  • to_2D (MatrixReal4x4) – Transformation matrix to apply to resulting shapes.

Returns

List of 2D shapes that intersect plane. For more details refer to Shapely’s Documentaton.

Return type

List[shapely.geometry.base.BaseGeometry]

intersections_with(other)#

Returns list of shapely geometries representing the intersections of the geometry with this 2D box.

Returns

List of 2D shapes that intersect this 2D box. For more details refer to Shapely’s Documentaton.

Return type

List[shapely.geometry.base.BaseGeometry]

intersects(other) bool#

Returns True if two Geometry have intersecting .bounds.

Parameters

other (Geometry) – Geometry to check intersection with.

Returns

Whether the rectangular bounding boxes of the two geometries intersect.

Return type

bool

intersects_axis_position(axis: int, position: float) bool#

Whether self intersects plane specified by a given position along a normal axis.

Parameters
  • axis (int = None) – Axis nomral to the plane.

  • position (float = None) – Position of plane along the normal axis.

Returns

Whether this geometry intersects the plane.

Return type

bool

intersects_plane(x: Optional[float] = None, y: Optional[float] = None, z: Optional[float] = None) bool#

Whether self intersects plane specified by one non-None value of x,y,z.

Parameters
  • x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

  • y (float = None) – Position of plane in y direction, only one of x,y,z can be specified to define plane.

  • z (float = None) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

Returns

Whether this geometry intersects the plane.

Return type

bool

json(*, include: Optional[Union[AbstractSetIntStr, MappingIntStrAny]] = None, exclude: Optional[Union[AbstractSetIntStr, MappingIntStrAny]] = None, by_alias: bool = False, skip_defaults: Optional[bool] = None, exclude_unset: bool = False, exclude_defaults: bool = False, exclude_none: bool = False, encoder: Optional[Callable[[Any], Any]] = None, models_as_dict: bool = True, **dumps_kwargs: Any) str#

Generate a JSON representation of the model, include and exclude arguments as per dict().

encoder is an optional function to supply as default to json.dumps(), other arguments as per json.dumps().

static kspace_2_sph(ux: float, uy: float, axis: Literal[0, 1, 2]) Tuple[float, float]#

Convert normalized k-space coordinates to angles.

Parameters
  • ux (float) – normalized kx coordinate.

  • uy (float) – normalized ky coordinate.

  • axis (int) – axis along which the observation plane is oriented.

Returns

theta and phi coordinates relative to local_origin.

Return type

Tuple[float, float]

static load_gds_vertices_gdspy(gds_cell, gds_layer: int, gds_dtype: Optional[int] = None, gds_scale: pydantic.v1.types.PositiveFloat = 1.0) List[tidy3d.components.types.ArrayLike[dtype=float, ndim=2]]#

Load polygon vertices from a gdspy.Cell.

Parameters
  • gds_cell (gdspy.Cell) – gdstk.Cell or gdspy.Cell containing 2D geometric data.

  • gds_layer (int) – Layer index in the gds_cell.

  • gds_dtype (int = None) – Data-type index in the gds_cell. If None, imports all data for this layer into the returned list.

  • gds_scale (float = 1.0) – Length scale used in GDS file in units of micrometer. For example, if gds file uses nanometers, set gds_scale=1e-3. Must be positive.

Returns

List of polygon vertices

Return type

List[ArrayFloat2D]

static load_gds_vertices_gdstk(gds_cell, gds_layer: int, gds_dtype: Optional[int] = None, gds_scale: pydantic.v1.types.PositiveFloat = 1.0) List[tidy3d.components.types.ArrayLike[dtype=float, ndim=2]]#

Load polygon vertices from a gdstk.Cell.

Parameters
  • gds_cell (gdstk.Cell) – gdstk.Cell or gdspy.Cell containing 2D geometric data.

  • gds_layer (int) – Layer index in the gds_cell.

  • gds_dtype (int = None) – Data-type index in the gds_cell. If None, imports all data for this layer into the returned list.

  • gds_scale (float = 1.0) – Length scale used in GDS file in units of micrometer. For example, if gds file uses nanometers, set gds_scale=1e-3. Must be positive.

Returns

List of polygon vertices

Return type

List[ArrayFloat2D]

classmethod names_exist_bcs(val, values)#

Error if boundary conditions point to non-existing structures/media.

classmethod names_exist_grid_spec(val, values)#

Warn if UniformUnstructuredGrid points at a non-existing structure.

classmethod names_exist_sources(val, values)#

Error if a heat source point to non-existing structures.

static parse_xyz_kwargs(**xyz) Tuple[Literal[0, 1, 2], float]#

Turns x,y,z kwargs into index of the normal axis and position along that axis.

Parameters
  • x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

  • y (float = None) – Position of plane in y direction, only one of x,y,z can be specified to define plane.

  • z (float = None) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

Returns

Index into xyz axis (0,1,2) and position along that axis.

Return type

int, float

plot(x: float = None, y: float = None, z: float = None, ax: matplotlib.axes._axes.Axes = None, source_alpha: float = None, monitor_alpha: float = None, hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None, **patch_kwargs) matplotlib.axes._axes.Axes#

Plot each of simulation’s components on a plane defined by one nonzero x,y,z coordinate.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • source_alpha (float = None) – Opacity of the sources. If None, uses Tidy3d default.

  • monitor_alpha (float = None) – Opacity of the monitors. If None, uses Tidy3d default.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

plot_boundaries(x: float = None, y: float = None, z: float = None, ax: matplotlib.axes._axes.Axes = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s boundary conditions on a plane defined by one nonzero x,y,z coordinate.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

plot_heat_conductivity(x: float = None, y: float = None, z: float = None, ax: matplotlib.axes._axes.Axes = None, alpha: float = None, source_alpha: float = None, monitor_alpha: float = None, colorbar: str = 'conductivity', hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s components on a plane defined by one nonzero x,y,z coordinate.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

  • alpha (float = None) – Opacity of the structures being plotted. Defaults to the structure default alpha.

  • source_alpha (float = None) – Opacity of the sources. If None, uses Tidy3d default.

  • monitor_alpha (float = None) – Opacity of the monitors. If None, uses Tidy3d default.

  • colorbar (str = "conductivity") – Display colorbar for thermal conductivity (“conductivity”) or heat source rate (“source”).

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

plot_monitors(x: float = None, y: float = None, z: float = None, hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None, alpha: float = None, ax: matplotlib.axes._axes.Axes = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s monitors on a plane defined by one nonzero x,y,z coordinate.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

  • alpha (float = None) – Opacity of the sources, If None uses Tidy3d default.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

property plot_params#

Default parameters for plotting a Geometry object.

plot_shape(shape: shapely.geometry.base.BaseGeometry, plot_params: tidy3d.components.viz.PlotParams, ax: matplotlib.axes._axes.Axes) matplotlib.axes._axes.Axes#

Defines how a shape is plotted on a matplotlib axes.

plot_sources(x: float = None, y: float = None, z: float = None, hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None, alpha: float = None, ax: matplotlib.axes._axes.Axes = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s sources on a plane defined by one nonzero x,y,z coordinate.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

  • alpha (float = None) – Opacity of the sources, If None uses Tidy3d default.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

plot_structures(x: float = None, y: float = None, z: float = None, ax: matplotlib.axes._axes.Axes = None, hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s structures on a plane defined by one nonzero x,y,z coordinate.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

plot_structures_eps(x: float = None, y: float = None, z: float = None, freq: float = None, alpha: float = None, cbar: bool = True, reverse: bool = False, ax: matplotlib.axes._axes.Axes = None, hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s structures on a plane defined by one nonzero x,y,z coordinate. The permittivity is plotted in grayscale based on its value at the specified frequency.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • freq (float = None) – Frequency to evaluate the relative permittivity of all mediums. If not specified, evaluates at infinite frequency.

  • reverse (bool = False) – If False, the highest permittivity is plotted in black. If True, it is plotteed in white (suitable for black backgrounds).

  • cbar (bool = True) – Whether to plot a colorbar for the relative permittivity.

  • alpha (float = None) – Opacity of the structures being plotted. Defaults to the structure default alpha.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

plot_structures_heat_conductivity(x: float = None, y: float = None, z: float = None, alpha: float = None, cbar: bool = True, reverse: bool = False, ax: matplotlib.axes._axes.Axes = None, hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s structures on a plane defined by one nonzero x,y,z coordinate. The permittivity is plotted in grayscale based on its value at the specified frequency.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • freq (float = None) – Frequency to evaluate the relative permittivity of all mediums. If not specified, evaluates at infinite frequency.

  • reverse (bool = False) – If False, the highest permittivity is plotted in black. If True, it is plotteed in white (suitable for black backgrounds).

  • cbar (bool = True) – Whether to plot a colorbar for the relative permittivity.

  • alpha (float = None) – Opacity of the structures being plotted. Defaults to the structure default alpha.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

plot_symmetries(x: float = None, y: float = None, z: float = None, hlim: Tuple[float, float] = None, vlim: Tuple[float, float] = None, ax: matplotlib.axes._axes.Axes = None) matplotlib.axes._axes.Axes#

Plot each of simulation’s symmetries on a plane defined by one nonzero x,y,z coordinate.

Parameters
  • x (float = None) – position of plane in x direction, only one of x, y, z must be specified to define plane.

  • y (float = None) – position of plane in y direction, only one of x, y, z must be specified to define plane.

  • z (float = None) – position of plane in z direction, only one of x, y, z must be specified to define plane.

  • hlim (Tuple[float, float] = None) – The x range if plotting on xy or xz planes, y range if plotting on yz plane.

  • vlim (Tuple[float, float] = None) – The z range if plotting on xz or yz planes, y plane if plotting on xy plane.

  • ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

static pop_axis(coord: Tuple[Any, Any, Any], axis: int) Tuple[Any, Tuple[Any, Any]]#

Separates coordinate at axis index from coordinates on the plane tangent to axis.

Parameters
  • coord (Tuple[Any, Any, Any]) – Tuple of three values in original coordinate system.

  • axis (int) – Integer index into ‘xyz’ (0,1,2).

Returns

The input coordinates are separated into the one along the axis provided and the two on the planar coordinates, like axis_coord, (planar_coord1, planar_coord2).

Return type

Any, Tuple[Any, Any]

reflect_points(points: tidy3d.components.types.ArrayLike[dtype=float, ndim=3], polar_axis: typing.Literal[0, 1, 2], angle_theta: float, angle_phi: float) tidy3d.components.types.ArrayLike[dtype=float, ndim=3]#

Reflect a set of points in 3D at a plane passing through the coordinate origin defined and normal to a given axis defined in polar coordinates (theta, phi) w.r.t. the polar_axis which can be 0, 1, or 2.

Parameters
  • points (ArrayLike[float]) – Array of shape (3, ...).

  • polar_axis (Axis) – Cartesian axis w.r.t. which the normal axis angles are defined.

  • angle_theta (float) – Polar angle w.r.t. the polar axis.

  • angle_phi (float) – Azimuth angle around the polar axis.

static rotate_points(points: tidy3d.components.types.ArrayLike[dtype=float, ndim=3], axis: typing.Tuple[float, float, float], angle: float) tidy3d.components.types.ArrayLike[dtype=float, ndim=3]#

Rotate a set of points in 3D.

Parameters
  • points (ArrayLike[float]) – Array of shape (3, ...).

  • axis (Coordinate) – Axis of rotation

  • angle (float) – Angle of rotation counter-clockwise around the axis (rad).

rotated(angle: float, axis: Union[Literal[0, 1, 2], Tuple[float, float, float]]) tidy3d.components.geometry.base.Geometry#

Return a rotated copy of this geometry.

Parameters
  • angle (float) – Rotation angle (in radians).

  • axis (Union[int, Tuple[float, float, float]]) – Axis of rotation: 0, 1, or 2 for x, y, and z, respectively, or a 3D vector.

Returns

Rotated copy of this geometry.

Return type

Geometry

scaled(x: float = 1.0, y: float = 1.0, z: float = 1.0) tidy3d.components.geometry.base.Geometry#

Return a scaled copy of this geometry.

Parameters
  • x (float = 1.0) – Scaling factor along x.

  • y (float = 1.0) – Scaling factor along y.

  • z (float = 1.0) – Scaling factor along z.

Returns

Scaled copy of this geometry.

Return type

Geometry

property scene: tidy3d.components.scene.Scene#

Scene instance associated with the simulation.

property simulation_bounds: Tuple[Tuple[float, float, float], Tuple[float, float, float]]#

Simulation bounds including auxiliary boundary zones such as PML layers.

property simulation_geometry: tidy3d.components.geometry.base.Box#

The entire simulation domain including auxiliary boundary zones such as PML layers. It is identical to Simulation.geometry in the absence of such auxiliary zones.

property simulation_structure: tidy3d.components.structure.Structure#

Returns structure representing the domain of the simulation. This differs from Simulation.scene.background_structure in that it has finite extent.

property source_bounds: Tuple[float, float]#

Compute range of heat sources present in the simulation.

static sph_2_car(r: float, theta: float, phi: float) Tuple[float, float, float]#

Convert spherical to Cartesian coordinates.

Parameters
  • r (float) – radius.

  • theta (float) – polar angle (rad) downward from x=y=0 line.

  • phi (float) – azimuthal (rad) angle from y=z=0 line.

Returns

x, y, and z coordinates relative to local_origin.

Return type

Tuple[float, float, float]

static sph_2_car_field(f_r: float, f_theta: float, f_phi: float, theta: float, phi: float) Tuple[complex, complex, complex]#

Convert vector field components in spherical coordinates to cartesian.

Parameters
  • f_r (float) – radial component of the vector field.

  • f_theta (float) – polar angle component of the vector fielf.

  • f_phi (float) – azimuthal angle component of the vector field.

  • theta (float) – polar angle (rad) of location of the vector field.

  • phi (float) – azimuthal angle (rad) of location of the vector field.

Returns

x, y, and z components of the vector field in cartesian coordinates.

Return type

Tuple[float, float, float]

surface_area(bounds: Optional[Tuple[Tuple[float, float, float], Tuple[float, float, float]]] = None)#

Returns object’s surface area with optional bounds.

Parameters

bounds (Tuple[Tuple[float, float, float], Tuple[float, float, float]] = None) – Min and max bounds packaged as (minx, miny, minz), (maxx, maxy, maxz).

Returns

Surface area in um^2.

Return type

float

classmethod surfaces(size: Tuple[pydantic.v1.types.NonNegativeFloat, pydantic.v1.types.NonNegativeFloat, pydantic.v1.types.NonNegativeFloat], center: Tuple[float, float, float], **kwargs)#

Returns a list of 6 Box instances corresponding to each surface of a 3D volume. The output surfaces are stored in the order [x-, x+, y-, y+, z-, z+], where x, y, and z denote which axis is perpendicular to that surface, while “-” and “+” denote the direction of the normal vector of that surface. If a name is provided, each output surface’s name will be that of the provided name appended with the above symbols. E.g., if the provided name is “box”, the x+ surfaces’s name will be “box_x+”.

Parameters
  • size (Tuple[float, float, float]) – Size of object in x, y, and z directions.

  • center (Tuple[float, float, float]) – Center of object in x, y, and z.

Example

>>> b = Box.surfaces(size=(1, 2, 3), center=(3, 2, 1))
classmethod surfaces_with_exclusion(size: Tuple[pydantic.v1.types.NonNegativeFloat, pydantic.v1.types.NonNegativeFloat, pydantic.v1.types.NonNegativeFloat], center: Tuple[float, float, float], **kwargs)#

Returns a list of 6 Box instances corresponding to each surface of a 3D volume. The output surfaces are stored in the order [x-, x+, y-, y+, z-, z+], where x, y, and z denote which axis is perpendicular to that surface, while “-” and “+” denote the direction of the normal vector of that surface. If a name is provided, each output surface’s name will be that of the provided name appended with the above symbols. E.g., if the provided name is “box”, the x+ surfaces’s name will be “box_x+”. If kwargs contains an exclude_surfaces parameter, the returned list of surfaces will not include the excluded surfaces. Otherwise, the behavior is identical to that of surfaces().

Parameters
  • size (Tuple[float, float, float]) – Size of object in x, y, and z directions.

  • center (Tuple[float, float, float]) – Center of object in x, y, and z.

Example

>>> b = Box.surfaces_with_exclusion(
...     size=(1, 2, 3), center=(3, 2, 1), exclude_surfaces=["x-"]
... )
to_file(fname: str) None#

Exports Tidy3dBaseModel instance to .yaml, .json, or .hdf5 file

Parameters

fname (str) – Full path to the .yaml or .json file to save the Tidy3dBaseModel to.

Example

>>> simulation.to_file(fname='folder/sim.json') 
to_gds(cell, x: Optional[float] = None, y: Optional[float] = None, z: Optional[float] = None, gds_layer: pydantic.v1.types.NonNegativeInt = 0, gds_dtype: pydantic.v1.types.NonNegativeInt = 0) None#

Append a Geometry object’s planar slice to a .gds cell.

Parameters
  • cell (gdstk.Cell or gdspy.Cell) – Cell object to which the generated polygons are added.

  • x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

  • y (float = None) – Position of plane in y direction, only one of x,y,z can be specified to define plane.

  • z (float = None) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

  • gds_layer (int = 0) – Layer index to use for the shapes stored in the .gds file.

  • gds_dtype (int = 0) – Data-type index to use for the shapes stored in the .gds file.

to_gds_file(fname: str, x: Optional[float] = None, y: Optional[float] = None, z: Optional[float] = None, gds_layer: pydantic.v1.types.NonNegativeInt = 0, gds_dtype: pydantic.v1.types.NonNegativeInt = 0, gds_cell_name: str = 'MAIN') None#

Export a Geometry object’s planar slice to a .gds file.

Parameters
  • fname (str) – Full path to the .gds file to save the Geometry slice to.

  • x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

  • y (float = None) – Position of plane in y direction, only one of x,y,z can be specified to define plane.

  • z (float = None) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

  • gds_layer (int = 0) – Layer index to use for the shapes stored in the .gds file.

  • gds_dtype (int = 0) – Data-type index to use for the shapes stored in the .gds file.

  • gds_cell_name (str = 'MAIN') – Name of the cell created in the .gds file to store the geometry.

to_gdspy(x: Optional[float] = None, y: Optional[float] = None, z: Optional[float] = None, gds_layer: pydantic.v1.types.NonNegativeInt = 0, gds_dtype: pydantic.v1.types.NonNegativeInt = 0) List#

Convert a Geometry object’s planar slice to a .gds type polygon.

Parameters
  • x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

  • y (float = None) – Position of plane in y direction, only one of x,y,z can be specified to define plane.

  • z (float = None) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

  • gds_layer (int = 0) – Layer index to use for the shapes stored in the .gds file.

  • gds_dtype (int = 0) – Data-type index to use for the shapes stored in the .gds file.

Returns

List of gdspy.Polygon and gdspy.PolygonSet.

Return type

List

to_gdstk(x: Optional[float] = None, y: Optional[float] = None, z: Optional[float] = None, gds_layer: pydantic.v1.types.NonNegativeInt = 0, gds_dtype: pydantic.v1.types.NonNegativeInt = 0) List#

Convert a Geometry object’s planar slice to a .gds type polygon.

Parameters
  • x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

  • y (float = None) – Position of plane in y direction, only one of x,y,z can be specified to define plane.

  • z (float = None) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

  • gds_layer (int = 0) – Layer index to use for the shapes stored in the .gds file.

  • gds_dtype (int = 0) – Data-type index to use for the shapes stored in the .gds file.

Returns

List of gdstk.Polygon.

Return type

List

to_hdf5(fname: str, custom_encoders: Optional[List[Callable]] = None) None#

Exports Tidy3dBaseModel instance to .hdf5 file.

Parameters
  • fname (str) – Full path to the .hdf5 file to save the Tidy3dBaseModel to.

  • custom_encoders (List[Callable]) – List of functions accepting (fname: str, group_path: str, value: Any) that take the value supplied and write it to the hdf5 fname at group_path.

Example

>>> simulation.to_hdf5(fname='folder/sim.hdf5') 
to_hdf5_gz(fname: str, custom_encoders: Optional[List[Callable]] = None) None#

Exports Tidy3dBaseModel instance to .hdf5.gz file.

Parameters
  • fname (str) – Full path to the .hdf5.gz file to save the Tidy3dBaseModel to.

  • custom_encoders (List[Callable]) – List of functions accepting (fname: str, group_path: str, value: Any) that take the value supplied and write it to the hdf5 fname at group_path.

Example

>>> simulation.to_hdf5_gz(fname='folder/sim.hdf5.gz') 
to_json(fname: str) None#

Exports Tidy3dBaseModel instance to .json file

Parameters

fname (str) – Full path to the .json file to save the Tidy3dBaseModel to.

Example

>>> simulation.to_json(fname='folder/sim.json') 
to_yaml(fname: str) None#

Exports Tidy3dBaseModel instance to .yaml file.

Parameters

fname (str) – Full path to the .yaml file to save the Tidy3dBaseModel to.

Example

>>> simulation.to_yaml(fname='folder/sim.yaml') 
translated(x: float, y: float, z: float) tidy3d.components.geometry.base.Geometry#

Return a translated copy of this geometry.

Parameters
  • x (float) – Translation along x.

  • y (float) – Translation along y.

  • z (float) – Translation along z.

Returns

Translated copy of this geometry.

Return type

Geometry

classmethod tuple_to_dict(tuple_values: tuple) dict#

How we generate a dictionary mapping new keys to tuple values for hdf5.

static unpop_axis(ax_coord: Any, plane_coords: Tuple[Any, Any], axis: int) Tuple[Any, Any, Any]#

Combine coordinate along axis with coordinates on the plane tangent to the axis.

Parameters
  • ax_coord (Any) – Value along axis direction.

  • plane_coords (Tuple[Any, Any]) – Values along ordered planar directions.

  • axis (int) – Integer index into ‘xyz’ (0,1,2).

Returns

The three values in the xyz coordinate system.

Return type

Tuple[Any, Any, Any]

classmethod update_forward_refs(**localns: Any) None#

Try to update ForwardRefs on fields based on this Model, globalns and localns.

updated_copy(**kwargs) tidy3d.components.base.Tidy3dBaseModel#

Make copy of a component instance with **kwargs indicating updated field values.

version: str#

Validating setup

volume(bounds: Optional[Tuple[Tuple[float, float, float], Tuple[float, float, float]]] = None)#

Returns object’s volume with optional bounds.

Parameters

bounds (Tuple[Tuple[float, float, float], Tuple[float, float, float]] = None) – Min and max bounds packaged as (minx, miny, minz), (maxx, maxy, maxz).

Returns

Volume in um^3.

Return type

float

property zero_dims: List[Literal[0, 1, 2]]#

A list of axes along which the Box is zero-sized.