tidy3d.PermittivityMonitor

class tidy3d.PermittivityMonitor

Monitor that records the diagonal components of the complex-valued relative permittivity tensor in the frequency domain. The recorded data has the same shape as a FieldMonitor of the same geometry: the permittivity values are saved at the Yee grid locations, and can be interpolated to any point inside the monitor.

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.

• name (ConstrainedStrValue) – Unique name for monitor.

• freqs (Union[Tuple[float, ...], Array]) – [units = Hz]. Array or list of frequencies stored by the field monitor.

• apodization (ApodizationSpec = ApodizationSpec(start=None, end=None, width=None, type='ApodizationSpec')) – 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.

Example

>>> monitor = PermittivityMonitor(
...     center=(1,2,3),
...     size=(2,2,2),
...     freqs=[250e12, 300e12],
...     name='eps_monitor')

Show JSON schema

{
   "title": "PermittivityMonitor",
   "description": ":class:`Monitor` that records the diagonal components of the complex-valued relative\npermittivity tensor in the frequency domain. The recorded data has the same shape as a\n:class:`.FieldMonitor` of the same geometry: the permittivity values are saved at the\nYee grid locations, and can be interpolated to any point inside the monitor.\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.\n\nExample\n-------\n>>> monitor = PermittivityMonitor(\n...     center=(1,2,3),\n...     size=(2,2,2),\n...     freqs=[250e12, 300e12],\n...     name='eps_monitor')",
   "type": "object",
   "properties": {
      "type": {
         "title": "Type",
         "default": "PermittivityMonitor",
         "enum": [
            "PermittivityMonitor"
         ],
         "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"
            }
         ]
      }
   },
   "required": [
      "size",
      "name",
      "freqs"
   ],
   "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
      }
   }
}

attribute apodization: tidy3d.components.apodization.ApodizationSpec = ApodizationSpec(start=None, end=None, width=None, type='ApodizationSpec')

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.

attribute freqs: Union[Tuple[float, ...], tidy3d.components.types.Array] [Required]

Array or list of frequencies stored by the field monitor.

Validated by

• _freqs_non_empty

storage_size(num_cells: int, tmesh: tidy3d.components.types.Array) → int

Size of monitor storage given the number of points after discretization.