tidy3d.FieldData
tidy3d.FieldData#
- class tidy3d.FieldData#
Data associated with a
FieldMonitor: scalar components of E and H fields.- Parameters
Ex (Optional[ScalarFieldDataArray] = None) – Spatial distribution of the x-component of the electric field.
Ey (Optional[ScalarFieldDataArray] = None) – Spatial distribution of the y-component of the electric field.
Ez (Optional[ScalarFieldDataArray] = None) – Spatial distribution of the z-component of the electric field.
Hx (Optional[ScalarFieldDataArray] = None) – Spatial distribution of the x-component of the magnetic field.
Hy (Optional[ScalarFieldDataArray] = None) – Spatial distribution of the y-component of the magnetic field.
Hz (Optional[ScalarFieldDataArray] = None) – Spatial distribution of the z-component of the magnetic field.
monitor (FieldMonitor) – symmetry : Tuple[Literal[0, -1, 1], Literal[0, -1, 1], Literal[0, -1, 1]] = (0, 0, 0) Symmetry eigenvalues of the original simulation in x, y, and z.
symmetry_center (Optional[Tuple[float, float, float]] = None) – Center of the symmetry planes of the original simulation in x, y, and z. Required only if any of the
symmetryfield are non-zero.grid_expanded (Optional[Grid] = None) –
Gridon which the symmetry will be expanded. Required only if any of thesymmetryfield are non-zero.grid_primal_correction (Union[float, FreqDataArray, TimeDataArray, FreqModeDataArray] = 1.0) – Correction factor that needs to be applied for data corresponding to a 2D monitor to take into account the finite grid in the normal direction in the simulation in which the data was computed. The factor is applied to fields defined on the primal grid locations along the normal direction.
grid_dual_correction (Union[float, FreqDataArray, TimeDataArray, FreqModeDataArray] = 1.0) – Correction factor that needs to be applied for data corresponding to a 2D monitor to take into account the finite grid in the normal direction in the simulation in which the data was computed. The factor is applied to fields defined on the dual grid locations along the normal direction.
Example
>>> from tidy3d import ScalarFieldDataArray >>> x = [-1,1] >>> y = [-2,0,2] >>> z = [-3,-1,1,3] >>> f = [2e14, 3e14] >>> coords = dict(x=x, y=y, z=z, f=f) >>> scalar_field = ScalarFieldDataArray((1+1j) * np.random.random((2,3,4,2)), coords=coords) >>> monitor = FieldMonitor(size=(2,4,6), freqs=[2e14, 3e14], name='field', fields=['Ex', 'Hz']) >>> data = FieldData(monitor=monitor, Ex=scalar_field, Hz=scalar_field)
Show JSON schema
{ "title": "FieldData", "description": "Data associated with a :class:`.FieldMonitor`: scalar components of E and H fields.\n\nParameters\n----------\nEx : Optional[ScalarFieldDataArray] = None\n Spatial distribution of the x-component of the electric field.\nEy : Optional[ScalarFieldDataArray] = None\n Spatial distribution of the y-component of the electric field.\nEz : Optional[ScalarFieldDataArray] = None\n Spatial distribution of the z-component of the electric field.\nHx : Optional[ScalarFieldDataArray] = None\n Spatial distribution of the x-component of the magnetic field.\nHy : Optional[ScalarFieldDataArray] = None\n Spatial distribution of the y-component of the magnetic field.\nHz : Optional[ScalarFieldDataArray] = None\n Spatial distribution of the z-component of the magnetic field.\nmonitor : FieldMonitor\n symmetry : Tuple[Literal[0, -1, 1], Literal[0, -1, 1], Literal[0, -1, 1]] = (0, 0, 0)\n Symmetry eigenvalues of the original simulation in x, y, and z.\nsymmetry_center : Optional[Tuple[float, float, float]] = None\n Center of the symmetry planes of the original simulation in x, y, and z. Required only if any of the ``symmetry`` field are non-zero.\ngrid_expanded : Optional[Grid] = None\n :class:`.Grid` on which the symmetry will be expanded. Required only if any of the ``symmetry`` field are non-zero.\ngrid_primal_correction : Union[float, FreqDataArray, TimeDataArray, FreqModeDataArray] = 1.0\n Correction factor that needs to be applied for data corresponding to a 2D monitor to take into account the finite grid in the normal direction in the simulation in which the data was computed. The factor is applied to fields defined on the primal grid locations along the normal direction.\ngrid_dual_correction : Union[float, FreqDataArray, TimeDataArray, FreqModeDataArray] = 1.0\n Correction factor that needs to be applied for data corresponding to a 2D monitor to take into account the finite grid in the normal direction in the simulation in which the data was computed. The factor is applied to fields defined on the dual grid locations along the normal direction.\n\nExample\n-------\n>>> from tidy3d import ScalarFieldDataArray\n>>> x = [-1,1]\n>>> y = [-2,0,2]\n>>> z = [-3,-1,1,3]\n>>> f = [2e14, 3e14]\n>>> coords = dict(x=x, y=y, z=z, f=f)\n>>> scalar_field = ScalarFieldDataArray((1+1j) * np.random.random((2,3,4,2)), coords=coords)\n>>> monitor = FieldMonitor(size=(2,4,6), freqs=[2e14, 3e14], name='field', fields=['Ex', 'Hz'])\n>>> data = FieldData(monitor=monitor, Ex=scalar_field, Hz=scalar_field)", "type": "object", "properties": { "type": { "title": "Type", "default": "FieldData", "enum": [ "FieldData" ], "type": "string" }, "Ex": { "title": "DataArray", "description": "Spatial distribution of the x-component of the electric field.", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, "Ey": { "title": "DataArray", "description": "Spatial distribution of the y-component of the electric field.", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, "Ez": { "title": "DataArray", "description": "Spatial distribution of the z-component of the electric field.", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, "Hx": { "title": "DataArray", "description": "Spatial distribution of the x-component of the magnetic field.", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, "Hy": { "title": "DataArray", "description": "Spatial distribution of the y-component of the magnetic field.", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, "Hz": { "title": "DataArray", "description": "Spatial distribution of the z-component of the magnetic field.", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, "monitor": { "$ref": "#/definitions/FieldMonitor" }, "symmetry": { "title": "Symmetry", "description": "Symmetry eigenvalues of the original simulation in x, y, and z.", "default": [ 0, 0, 0 ], "type": "array", "minItems": 3, "maxItems": 3, "items": [ { "enum": [ 0, -1, 1 ], "type": "integer" }, { "enum": [ 0, -1, 1 ], "type": "integer" }, { "enum": [ 0, -1, 1 ], "type": "integer" } ] }, "symmetry_center": { "title": "Symmetry Center", "description": "Center of the symmetry planes of the original simulation in x, y, and z. Required only if any of the ``symmetry`` field are non-zero.", "type": "array", "minItems": 3, "maxItems": 3, "items": [ { "type": "number" }, { "type": "number" }, { "type": "number" } ] }, "grid_expanded": { "title": "Expanded Grid", "description": ":class:`.Grid` on which the symmetry will be expanded. Required only if any of the ``symmetry`` field are non-zero.", "allOf": [ { "$ref": "#/definitions/Grid" } ] }, "grid_primal_correction": { "title": "Field correction factor", "description": "Correction factor that needs to be applied for data corresponding to a 2D monitor to take into account the finite grid in the normal direction in the simulation in which the data was computed. The factor is applied to fields defined on the primal grid locations along the normal direction.", "default": 1.0, "anyOf": [ { "type": "number" }, { "title": "DataArray", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, { "title": "DataArray", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, { "title": "DataArray", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] } ] }, "grid_dual_correction": { "title": "Field correction factor", "description": "Correction factor that needs to be applied for data corresponding to a 2D monitor to take into account the finite grid in the normal direction in the simulation in which the data was computed. The factor is applied to fields defined on the dual grid locations along the normal direction.", "default": 1.0, "anyOf": [ { "type": "number" }, { "title": "DataArray", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, { "title": "DataArray", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] }, { "title": "DataArray", "type": "xr.DataArray", "properties": { "_dims": { "title": "_dims", "type": "Tuple[str, ...]" } }, "required": [ "_dims" ] } ] } }, "required": [ "monitor" ], "additionalProperties": false, "definitions": { "ApodizationSpec": { "title": "ApodizationSpec", "description": "Stores specifications for the apodizaton of frequency-domain monitors.\n\nParameters\n----------\nstart : Optional[NonNegativeFloat] = None\n [units = sec]. Defines the time at which the start apodization ends.\nend : Optional[NonNegativeFloat] = None\n [units = sec]. Defines the time at which the end apodization begins.\nwidth : Optional[PositiveFloat] = None\n [units = sec]. Characteristic decay length of the apodization function.\n\nExample\n-------\n>>> apod_spec = ApodizationSpec(start=1, end=2, width=0.5)", "type": "object", "properties": { "start": { "title": "Start Interval", "description": "Defines the time at which the start apodization ends.", "units": "sec", "minimum": 0, "type": "number" }, "end": { "title": "End Interval", "description": "Defines the time at which the end apodization begins.", "units": "sec", "minimum": 0, "type": "number" }, "width": { "title": "Apodization Width", "description": "Characteristic decay length of the apodization function.", "units": "sec", "exclusiveMinimum": 0, "type": "number" }, "type": { "title": "Type", "default": "ApodizationSpec", "enum": [ "ApodizationSpec" ], "type": "string" } }, "additionalProperties": false }, "FieldMonitor": { "title": "FieldMonitor", "description": ":class:`Monitor` that records electromagnetic fields in the frequency domain.\n\nParameters\n----------\ncenter : Tuple[float, float, float] = (0.0, 0.0, 0.0)\n [units = um]. Center of object in x, y, and z.\nsize : Tuple[NonNegativeFloat, NonNegativeFloat, NonNegativeFloat]\n [units = um]. Size in x, y, and z directions.\nname : ConstrainedStrValue\n Unique name for monitor.\nfreqs : Union[Tuple[float, ...], Array]\n [units = Hz]. Array or list of frequencies stored by the field monitor.\napodization : ApodizationSpec = ApodizationSpec(start=None, end=None, width=None, type='ApodizationSpec')\n Sets parameters of (optional) apodization. Apodization applies a windowing function to the Fourier transform of the time-domain fields into frequency-domain ones, and can be used to truncate the beginning and/or end of the time signal, for example to eliminate the source pulse when studying the eigenmodes of a system. Note: apodization affects the normalization of the frequency-domain fields.\nfields : Tuple[Literal['Ex', 'Ey', 'Ez', 'Hx', 'Hy', 'Hz'], ...] = ['Ex', 'Ey', 'Ez', 'Hx', 'Hy', 'Hz']\n Collection of field components to store in the monitor.\ninterval_space : Tuple[PositiveInt, PositiveInt, PositiveInt] = (1, 1, 1)\n Number of grid step intervals between monitor recordings. If equal to 1, there will be no downsampling. If greater than 1, fields will be downsampled and automatically colocated.\ncolocate : Optional[bool] = None\n Toggle whether fields should be colocated to grid cell centers. Default: ``False`` if ``interval_space`` is 1 in each direction, ``True`` if ``interval_space`` is greater than one in any direction.\n\nExample\n-------\n>>> monitor = FieldMonitor(\n... center=(1,2,3),\n... size=(2,2,2),\n... fields=['Hx'],\n... freqs=[250e12, 300e12],\n... name='steady_state_monitor')", "type": "object", "properties": { "type": { "title": "Type", "default": "FieldMonitor", "enum": [ "FieldMonitor" ], "type": "string" }, "center": { "title": "Center", "description": "Center of object in x, y, and z.", "default": [ 0.0, 0.0, 0.0 ], "units": "um", "type": "array", "minItems": 3, "maxItems": 3, "items": [ { "type": "number" }, { "type": "number" }, { "type": "number" } ] }, "size": { "title": "Size", "description": "Size in x, y, and z directions.", "units": "um", "type": "array", "minItems": 3, "maxItems": 3, "items": [ { "type": "number", "minimum": 0 }, { "type": "number", "minimum": 0 }, { "type": "number", "minimum": 0 } ] }, "name": { "title": "Name", "description": "Unique name for monitor.", "minLength": 1, "type": "string" }, "freqs": { "title": "Frequencies", "description": "Array or list of frequencies stored by the field monitor.", "units": "Hz", "anyOf": [ { "type": "array", "items": { "type": "number" } }, { "title": "Array Like", "description": "Accepts sequence (tuple, list, numpy array) and converts to tuple.", "type": "tuple", "properties": {}, "required": [] } ] }, "apodization": { "title": "Apodization Specification", "description": "Sets parameters of (optional) apodization. Apodization applies a windowing function to the Fourier transform of the time-domain fields into frequency-domain ones, and can be used to truncate the beginning and/or end of the time signal, for example to eliminate the source pulse when studying the eigenmodes of a system. Note: apodization affects the normalization of the frequency-domain fields.", "default": { "start": null, "end": null, "width": null, "type": "ApodizationSpec" }, "allOf": [ { "$ref": "#/definitions/ApodizationSpec" } ] }, "fields": { "title": "Field Components", "description": "Collection of field components to store in the monitor.", "default": [ "Ex", "Ey", "Ez", "Hx", "Hy", "Hz" ], "type": "array", "items": { "enum": [ "Ex", "Ey", "Ez", "Hx", "Hy", "Hz" ], "type": "string" } }, "interval_space": { "title": "Spatial interval", "description": "Number of grid step intervals between monitor recordings. If equal to 1, there will be no downsampling. If greater than 1, fields will be downsampled and automatically colocated.", "default": [ 1, 1, 1 ], "type": "array", "minItems": 3, "maxItems": 3, "items": [ { "type": "integer", "exclusiveMinimum": 0 }, { "type": "integer", "exclusiveMinimum": 0 }, { "type": "integer", "exclusiveMinimum": 0 } ] }, "colocate": { "title": "Colocate fields", "description": "Toggle whether fields should be colocated to grid cell centers. Default: ``False`` if ``interval_space`` is 1 in each direction, ``True`` if ``interval_space`` is greater than one in any direction.", "type": "boolean" } }, "required": [ "size", "name", "freqs" ], "additionalProperties": false }, "Coords": { "title": "Coords", "description": "Holds data about a set of x,y,z positions on a grid.\n\nParameters\n----------\nx : Array\n 1-dimensional array of x coordinates.\ny : Array\n 1-dimensional array of y coordinates.\nz : Array\n 1-dimensional array of z coordinates.\n\nExample\n-------\n>>> x = np.linspace(-1, 1, 10)\n>>> y = np.linspace(-1, 1, 11)\n>>> z = np.linspace(-1, 1, 12)\n>>> coords = Coords(x=x, y=y, z=z)", "type": "object", "properties": { "x": { "title": "Array Like", "description": "Accepts sequence (tuple, list, numpy array) and converts to tuple.", "type": "tuple", "properties": {}, "required": [] }, "y": { "title": "Array Like", "description": "Accepts sequence (tuple, list, numpy array) and converts to tuple.", "type": "tuple", "properties": {}, "required": [] }, "z": { "title": "Array Like", "description": "Accepts sequence (tuple, list, numpy array) and converts to tuple.", "type": "tuple", "properties": {}, "required": [] }, "type": { "title": "Type", "default": "Coords", "enum": [ "Coords" ], "type": "string" } }, "required": [ "x", "y", "z" ], "additionalProperties": false }, "Grid": { "title": "Grid", "description": "Contains all information about the spatial positions of the FDTD grid.\n\nParameters\n----------\nboundaries : Coords\n x,y,z coordinates of the boundaries between cells, defining the FDTD grid.\n\nExample\n-------\n>>> x = np.linspace(-1, 1, 10)\n>>> y = np.linspace(-1, 1, 11)\n>>> z = np.linspace(-1, 1, 12)\n>>> coords = Coords(x=x, y=y, z=z)\n>>> grid = Grid(boundaries=coords)\n>>> centers = grid.centers\n>>> sizes = grid.sizes\n>>> yee_grid = grid.yee", "type": "object", "properties": { "boundaries": { "title": "Boundary Coordinates", "description": "x,y,z coordinates of the boundaries between cells, defining the FDTD grid.", "allOf": [ { "$ref": "#/definitions/Coords" } ] }, "type": { "title": "Type", "default": "Grid", "enum": [ "Grid" ], "type": "string" } }, "required": [ "boundaries" ], "additionalProperties": false } } }
- attribute monitor: tidy3d.components.monitor.FieldMonitor [Required]#
- Validated by
_contains_fields
- normalize(source_spectrum_fn: Callable[[float], complex]) tidy3d.components.data.dataset.FieldDataset#
Return copy of self after normalization is applied using source spectrum function.
- to_source(source_time: Union[tidy3d.components.source.GaussianPulse, tidy3d.components.source.ContinuousWave], center: Tuple[float, float, float], size: Optional[Tuple[pydantic.types.NonNegativeFloat, pydantic.types.NonNegativeFloat, pydantic.types.NonNegativeFloat]] = None, **kwargs) tidy3d.components.source.CustomFieldSource#
Create a
CustomFieldSourcefrom the fields stored in theFieldData.- Parameters
source_time (
SourceTime) – Specification of the source time-dependence.center (Tuple[float, float, float]) – Source center in x, y and z.
size (Tuple[float, float, float]) – Source size in x, y, and z. If not provided, the size of the monitor associated to the data is used.
**kwargs – Extra keyword arguments passed to
CustomFieldSource.
- Returns
Source injecting the fields stored in the
FieldData, with other settings as provided in the input arguments.- Return type