tidy3d.plugins.ComplexPolySlab#

class tidy3d.plugins.ComplexPolySlab#

Bases: tidy3d.components.geometry.PolySlab

Interface for dividing a complex polyslab where self-intersecting polygon can occur during extrusion.

Parameters

axis (Literal[0, 1, 2] = 2) – Specifies dimension of the planar axis (0,1,2) -> (x,y,z).
sidewall_angle (ConstrainedFloatValue = 0.0) – [units = rad]. Angle of the sidewall. sidewall_angle=0 (default) specifies a vertical wall; 0<sidewall_angle<np.pi/2 specifies a shrinking cross section along the axis direction; and -np.pi/2<sidewall_angle<0 specifies an expanding cross section along the axis direction.
reference_plane (Literal['bottom', 'middle', 'top'] = bottom) – The position of the plane where the supplied cross section are defined. The plane is perpendicular to the axis. The plane is located at the bottom, middle, or top of the geometry with respect to the axis. E.g. if axis=1, bottom refers to the negative side of the y-axis, and top refers to the positive side of the y-axis.
slab_bounds (Tuple[float, float]) – [units = um]. Minimum and maximum positions of the slab along axis dimension.
dilation (float = 0.0) – [units = um]. Dilation of the supplied polygon by shifting each edge along its normal outwards direction by a distance; a negative value corresponds to erosion.
vertices (Union[Tuple[Tuple[float, float], ...], Array]) – [units = um]. List of (d1, d2) defining the 2 dimensional positions of the polygon face vertices at the reference_plane. The index of dimension should be in the ascending order: e.g. if the slab normal axis is axis=y, the coordinate of the vertices will be in (x, z)

Example

>>> vertices = ((0, 0), (1, 0), (1, 1), (0, 1), (0, 0.9), (0, 0.11))
>>> p = ComplexPolySlab(vertices=vertices, axis=2, slab_bounds=(0, 1), sidewall_angle=0.785)
>>> # To obtain the divided polyslabs, there are two approaches:
>>> # 1) a list of divided polyslabs
>>> geo_list = p.sub_polyslabs
>>> # 2) geometry group containing the divided polyslabs
>>> geo_group = p.geometry_group
>>> # Or directly obtain the structure with a user-specified medium
>>> mat = td.Medium(permittivity=2)
>>> structure = p.to_structure(mat)

Note

This version is limited to neighboring vertex-vertex crossing type of self-intersecting events. Extension to cover all types of self-intersecting events is expected in the future.

The algorithm is as follows (for the convenience of illustration, let’s consider the reference plane to lie at the bottom of the polyslab),

1. Starting from the reference plane, find out the critical extrusion distance for the first vertices degeneracy event when marching towards the top of the polyslab;

2. Construct a sub-polyslab whose base is the polygon at the reference plane and height to be the critical extrusion distance;

3. At the critical extrusion distance, constructing a new polygon that keeps only one of the degenerate vertices;

4. Set the reference plane to the position of the new polygon, and repeating 1-3 to construct sub-polyslabs until reaching the top of the polyslab, or all vertices collapsed into a 1D curve or a 0D point.

Show JSON schema

{
   "title": "ComplexPolySlab",
   "description": "Interface for dividing a complex polyslab where self-intersecting polygon can\noccur during extrusion.\n\nParameters\n----------\naxis : Literal[0, 1, 2] = 2\n    Specifies dimension of the planar axis (0,1,2) -> (x,y,z).\nsidewall_angle : ConstrainedFloatValue = 0.0\n    [units = rad].  Angle of the sidewall. ``sidewall_angle=0`` (default) specifies a vertical wall; ``0<sidewall_angle<np.pi/2`` specifies a shrinking cross section along the ``axis`` direction; and ``-np.pi/2<sidewall_angle<0`` specifies an expanding cross section along the ``axis`` direction.\nreference_plane : Literal['bottom', 'middle', 'top'] = bottom\n    The position of the plane where the supplied cross section are defined. The plane is perpendicular to the ``axis``. The plane is located at the ``bottom``, ``middle``, or ``top`` of the geometry with respect to the axis. E.g. if ``axis=1``, ``bottom`` refers to the negative side of the y-axis, and ``top`` refers to the positive side of the y-axis.\nslab_bounds : Tuple[float, float]\n    [units = um].  Minimum and maximum positions of the slab along axis dimension.\ndilation : float = 0.0\n    [units = um].  Dilation of the supplied polygon by shifting each edge along its normal outwards direction by a distance; a negative value corresponds to erosion.\nvertices : Union[Tuple[Tuple[float, float], ...], Array]\n    [units = um].  List of (d1, d2) defining the 2 dimensional positions of the polygon face vertices at the ``reference_plane``. The index of dimension should be in the ascending order: e.g. if the slab normal axis is ``axis=y``, the coordinate of the vertices will be in (x, z)\n\nExample\n-------\n>>> vertices = ((0, 0), (1, 0), (1, 1), (0, 1), (0, 0.9), (0, 0.11))\n>>> p = ComplexPolySlab(vertices=vertices, axis=2, slab_bounds=(0, 1), sidewall_angle=0.785)\n>>> # To obtain the divided polyslabs, there are two approaches:\n>>> # 1) a list of divided polyslabs\n>>> geo_list = p.sub_polyslabs\n>>> # 2) geometry group containing the divided polyslabs\n>>> geo_group = p.geometry_group\n>>> # Or directly obtain the structure with a user-specified medium\n>>> mat = td.Medium(permittivity=2)\n>>> structure = p.to_structure(mat)\n\nNote\n----\nThis version is limited to neighboring vertex-vertex crossing type of\nself-intersecting events. Extension to cover all types of self-intersecting\nevents is expected in the future.\n\nThe algorithm is as follows (for the convenience of illustration,\nlet's consider the reference plane to lie at the bottom of the polyslab),\n\n1. Starting from the reference plane, find out the critical\nextrusion distance for the first vertices degeneracy\nevent when marching towards the top of the polyslab;\n\n2. Construct a sub-polyslab whose base is the polygon at\nthe reference plane and height to be the critical\nextrusion distance;\n\n3. At the critical extrusion distance, constructing a new polygon\nthat keeps only one of the degenerate vertices;\n\n4. Set the reference plane to the position of the new polygon,\nand  repeating 1-3 to construct sub-polyslabs until reaching\nthe top of the polyslab, or all vertices collapsed into a 1D curve\nor a 0D point.",
   "type": "object",
   "properties": {
      "type": {
         "title": "Type",
         "default": "ComplexPolySlab",
         "enum": [
            "ComplexPolySlab"
         ],
         "type": "string"
      },
      "axis": {
         "title": "Axis",
         "description": "Specifies dimension of the planar axis (0,1,2) -> (x,y,z).",
         "default": 2,
         "enum": [
            0,
            1,
            2
         ],
         "type": "integer"
      },
      "sidewall_angle": {
         "title": "Sidewall angle",
         "description": "Angle of the sidewall. ``sidewall_angle=0`` (default) specifies a vertical wall; ``0<sidewall_angle<np.pi/2`` specifies a shrinking cross section along the ``axis`` direction; and ``-np.pi/2<sidewall_angle<0`` specifies an expanding cross section along the ``axis`` direction.",
         "default": 0.0,
         "exclusiveMinimum": -1.5707963267948966,
         "exclusiveMaximum": 1.5707963267948966,
         "units": "rad",
         "type": "number"
      },
      "reference_plane": {
         "title": "Reference plane for cross section",
         "description": "The position of the plane where the supplied cross section are defined. The plane is perpendicular to the ``axis``. The plane is located at the ``bottom``, ``middle``, or ``top`` of the geometry with respect to the axis. E.g. if ``axis=1``, ``bottom`` refers to the negative side of the y-axis, and ``top`` refers to the positive side of the y-axis.",
         "default": "bottom",
         "enum": [
            "bottom",
            "middle",
            "top"
         ],
         "type": "string"
      },
      "slab_bounds": {
         "title": "Slab Bounds",
         "description": "Minimum and maximum positions of the slab along axis dimension.",
         "units": "um",
         "type": "array",
         "minItems": 2,
         "maxItems": 2,
         "items": [
            {
               "type": "number"
            },
            {
               "type": "number"
            }
         ]
      },
      "dilation": {
         "title": "Dilation",
         "description": "Dilation of the supplied polygon by shifting each edge along its normal outwards direction by a distance; a negative value corresponds to erosion.",
         "default": 0.0,
         "units": "um",
         "type": "number"
      },
      "vertices": {
         "title": "Vertices",
         "description": "List of (d1, d2) defining the 2 dimensional positions of the polygon face vertices at the ``reference_plane``. The index of dimension should be in the ascending order: e.g. if the slab normal axis is ``axis=y``, the coordinate of the vertices will be in (x, z)",
         "units": "um",
         "anyOf": [
            {
               "type": "array",
               "items": {
                  "type": "array",
                  "minItems": 2,
                  "maxItems": 2,
                  "items": [
                     {
                        "type": "number"
                     },
                     {
                        "type": "number"
                     }
                  ]
               }
            },
            {
               "title": "Array Like",
               "description": "Accepts sequence (tuple, list, numpy array) and converts to tuple.",
               "type": "tuple",
               "properties": {},
               "required": []
            }
         ]
      }
   },
   "required": [
      "slab_bounds",
      "vertices"
   ],
   "additionalProperties": false
}

attribute axis: Axis = 2#

Specifies dimension of the planar axis (0,1,2) -> (x,y,z).

Validated by

_deprecation_2_0_missing_defaults

attribute dilation: float = 0.0#

Dilation of the supplied polygon by shifting each edge along its normal outwards direction by a distance; a negative value corresponds to erosion.

Validated by

_deprecation_2_0_missing_defaults

attribute reference_plane: PlanePosition = 'bottom'#

The position of the plane where the supplied cross section are defined. The plane is perpendicular to the axis. The plane is located at the bottom, middle, or top of the geometry with respect to the axis. E.g. if axis=1, bottom refers to the negative side of the y-axis, and top refers to the positive side of the y-axis.

Validated by

_deprecation_2_0_missing_defaults

attribute sidewall_angle: float = 0.0#

Angle of the sidewall. sidewall_angle=0 (default) specifies a vertical wall; 0<sidewall_angle<np.pi/2 specifies a shrinking cross section along the axis direction; and -np.pi/2<sidewall_angle<0 specifies an expanding cross section along the axis direction.

Constraints

exclusiveMinimum = -1.5707963267948966
exclusiveMaximum = 1.5707963267948966

Validated by

_deprecation_2_0_missing_defaults

attribute slab_bounds: Tuple[float, float] [Required]#

Minimum and maximum positions of the slab along axis dimension.

Validated by

_deprecation_2_0_missing_defaults

attribute vertices: Vertices [Required]#

List of (d1, d2) defining the 2 dimensional positions of the polygon face vertices at the reference_plane. The index of dimension should be in the ascending order: e.g. if the slab normal axis is axis=y, the coordinate of the vertices will be in (x, z)

Validated by

_deprecation_2_0_missing_defaults
correct_shape
no_complex_self_intersecting_polygon_at_reference_plane
no_self_intersecting_polygon_during_extrusion
no_self_intersecting_polygon_during_extrusion

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.

static array_to_vertices(arr_vertices: numpy.ndarray) → Union[Tuple[Tuple[float, float], ...], tidy3d.components.types.Array]#: Converts a numpy array of vertices to a list of tuples.

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 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, or .hdf5 file.

Parameters

fname (str) – Full path to the .yaml or .json 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 = '') → 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.

Returns

Dictionary containing the model.

Return type

dict

Example

>>> sim_dict = Simulation.dict_from_hdf5(fname='folder/sim.hdf5') 

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') 

classmethod 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_file(fname: str, group_path: Optional[str] = None, **parse_obj_kwargs) → tidy3d.components.base.Tidy3dBaseModel#

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

Parameters

fname (str) – Full path to the .yaml or .json 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') 

classmethod 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.types.PositiveFloat = 1.0, dilation: float = 0.0, sidewall_angle: float = 0, **kwargs) → List[tidy3d.components.geometry.PolySlab]#

Import PolySlab from a gdstk.Cell.

Parameters

gds_cell (gdstk.Cell) – gdstk.Cell containing 2D geometric data.
axis (int) – Integer index into the polygon’s slab axis. (0,1,2) -> (x,y,z).
slab_bounds (Tuple[float, float]) – Minimum and maximum positions of the 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 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 sidewall. sidewall_angle=0 (default) specifies vertical wall, while 0<sidewall_angle<np.pi/2 for the base to be larger than the top.
reference_plane (PlanePosition = "bottom") – The position of the GDS layer. It can be at the bottom, middle, or top of the PolySlab. E.g. if axis=1, bottom refers to the negative side of y-axis, and top refers to the positive side of y-axis.

Returns

List of PolySlab objects sharing axis and slab bound properties.

Return type

List[PolySlab]

classmethod from_hdf5(fname: str, group_path: str = '', **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.
**parse_obj_kwargs – Keyword arguments passed to pydantic’s parse_obj method.

Example

>>> simulation.to_hdf5(fname='folder/sim.hdf5') 

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_orm(obj: Any) → Model#

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.

classmethod get_sub_model(group_path: str, model_dict: dict | list) → dict#: Get the sub model for a given group path.

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, y, z) → bool#

Returns True if point (x,y,z) inside volume of geometry. For slanted polyslab and x/y/z to be np.ndarray, a loop over z-axis is performed to find out the offsetted polygon at each z-coordinate.

Parameters

x (float) – Position of point in x direction.
y (float) – Position of point in y direction.
z (float) – Position of point in z direction.

Returns

Whether point (x,y,z) is inside geometry.

Return type

bool

intersections(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) – Position of plane in x direction, only one of x,y,z can be specified to define plane.
y (float) – Position of plane in y direction, only one of x,y,z can be specified to define plane.
z (float) – Position of plane in z direction, only one of x,y,z can be specified to define plane.

Returns

List[shapely.geometry.base.BaseGeometry] – List of 2D shapes that intersect plane. For more details refer to
`Shapely’s Documentaton <https (//shapely.readthedocs.io/en/stable/project.html>`_.)

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_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) → unicode#

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]

classmethod map_to_coords(func: Callable[[float], float], shape: shapely.geometry.base.BaseGeometry) → shapely.geometry.base.BaseGeometry#

Maps a function to each coordinate in shape.

Parameters

func (Callable[[float], float]) – Takes old coordinate and returns new coordinate.
shape (shapely.geometry.base.BaseGeometry) – The shape to map this function to.

Returns

A new copy of the input shape with the mapping applied to the coordinates.

Return type

shapely.geometry.base.BaseGeometry

static offset_distance_to_base(reference_plane: Literal['bottom', 'middle', 'top'], length_axis: float, tan_angle: float) → float#

A convenient function that returns the distance needed to offset the cross section from reference plane to the base.

Parameters

reference_plane (PlanePosition) – The position of the plane where the vertices of the polygon are supplied.
length_axis (float) – The overall length of PolySlab along extrusion direction.
tan_angle (float) – tan(sidewall angle)

Returns

Offset distance.

Return type

float

classmethod parse_file(path: Union[str, pathlib.Path], *, content_type: unicode = None, encoding: unicode = 'utf8', proto: pydantic.parse.Protocol = None, allow_pickle: bool = False) → Model#

classmethod parse_obj(obj: Any) → Model#

classmethod parse_raw(b: Union[str, bytes], *, content_type: unicode = None, encoding: unicode = 'utf8', proto: pydantic.parse.Protocol = None, allow_pickle: bool = False) → Model#

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, **patch_kwargs) → matplotlib.axes._axes.Axes#

Plot geometry cross section at single (x,y,z) coordinate.

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.
ax (matplotlib.axes._subplots.Axes = None) – Matplotlib axes to plot on, if not specified, one is created.
**patch_kwargs – Optional keyword arguments passed to the matplotlib patch plotting of structure. For details on accepted values, refer to Matplotlib’s documentation.

Returns

The supplied or created matplotlib axes.

Return type

matplotlib.axes._subplots.Axes

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.

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.Array, polar_axis: Literal[0, 1, 2], angle_theta: float, angle_phi: float) → tidy3d.components.types.Array#

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.Array, axis: Tuple[float, float, float], angle: float) → tidy3d.components.types.Array#

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).

classmethod schema(by_alias: bool = True, ref_template: unicode = '#/definitions/{model}') → DictStrAny#

classmethod schema_json(*, by_alias: bool = True, ref_template: unicode = '#/definitions/{model}', **dumps_kwargs: Any) → unicode#

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]

classmethod strip_coords(shape: shapely.geometry.base.BaseGeometry) → Tuple[List[float], List[float], Tuple[List[float], List[float]]]#

Get the exterior and list of interior xy coords for a shape.

Parameters: shape (shapely.geometry.base.BaseGeometry) – The shape that you want to strip coordinates from.
Returns: List of exterior xy coordinates and a list of lists of the interior xy coordinates of the “holes” in the shape.
Return type: Tuple[List[float], List[float], Tuple[List[float], List[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.
Return type: float

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_hdf5(fname: str) → None#

Exports Tidy3dBaseModel instance to .hdf5 file.

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

Example

>>> simulation.to_hdf5(fname='folder/sim.hdf5') 

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_structure(medium: Union[tidy3d.components.medium.Medium, tidy3d.components.medium.CustomMedium, 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.structure.Structure#

Construct a structure containing a user-specified medium and a GeometryGroup made of all the divided PolySlabs from this object.

Parameters: medium (MediumType) – Medium for the complex polyslab.
Returns: The structure containing all divided polyslabs made of a user-specified medium.
Return type: Structure

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') 

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.

classmethod validate(value: Any) → Model#

static vertices_to_array(vertices_tuple: Union[Tuple[Tuple[float, float], ...], tidy3d.components.types.Array]) → numpy.ndarray#: Converts a list of tuples (vertices) to a numpy array.

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.
Return type: float

property base_polygon: numpy.ndarray#

The polygon at the base, derived from the middle_polygon.

Returns: The vertices of the polygon at the base.
Return type: ArrayLike[float, float]

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. The dilation and slant angle are not taken into account exactly for speed. Instead, the polygon may be slightly smaller than the returned bounds, but it should always be fully contained.

Returns: Min and max bounds packaged as (minx, miny, minz), (maxx, maxy, maxz).
Return type: Tuple[float, float, float], Tuple[float, float float]

property center_axis: float#: Gets the position of the center of the geometry in the out of plane dimension.

property geometry_group: tidy3d.components.geometry.GeometryGroup#

Divide a complex polyslab into a list of simple polyslabs, which are assembled into a GeometryGroup.

Returns: GeometryGroup for a list of simple polyslabs divided from the complex polyslab.
Return type: GeometryGroup

property length_axis: float#: Gets the length of the geometry along the out of plane dimension.

property middle_polygon: numpy.ndarray#

The polygon at the middle.

Returns: The vertices of the polygon at the middle.
Return type: ArrayLike[float, float]

property plot_params#: Default parameters for plotting a Geometry object.

property reference_polygon: numpy.ndarray#

The polygon at the reference plane.

Returns: The vertices of the polygon at the reference plane.
Return type: ArrayLike[float, float]

property sub_polyslabs: List[tidy3d.components.geometry.PolySlab]#

Divide a complex polyslab into a list of simple polyslabs. Only neighboring vertex-vertex crossing events are treated in this version.

Returns: A list of simple polyslabs.
Return type: List[PolySlab]

property top_polygon: numpy.ndarray#

The polygon at the top, derived from the middle_polygon.

Returns: The vertices of the polygon at the top.
Return type: ArrayLike[float, float]