tidy3d.Boundary#

class Boundary[source]#

Bases: Tidy3dBaseModel

Boundary conditions at the minus and plus extents along a dimension.

Parameters:
  • plus (Union[Periodic, PECBoundary, PMCBoundary, PML, StablePML, Absorber, BlochBoundary] = PML(name=None, type='PML', num_layers=12, parameters=PMLParams(sigma_order=3,, sigma_min=0.0,, sigma_max=1.5,, type='PMLParams',, kappa_order=3,, kappa_min=1.0,, kappa_max=3.0,, alpha_order=1,, alpha_min=0.0,, alpha_max=0.0))) – Boundary condition on the plus side along a dimension.

  • minus (Union[Periodic, PECBoundary, PMCBoundary, PML, StablePML, Absorber, BlochBoundary] = PML(name=None, type='PML', num_layers=12, parameters=PMLParams(sigma_order=3,, sigma_min=0.0,, sigma_max=1.5,, type='PMLParams',, kappa_order=3,, kappa_min=1.0,, kappa_max=3.0,, alpha_order=1,, alpha_min=0.0,, alpha_max=0.0))) – Boundary condition on the minus side along a dimension.

Notes

To specify individual boundary conditions along different dimensions, instead of BoundarySpec, this class is used, which defines the plus and minus boundaries along a single dimension.

Example

>>> boundary = Boundary(plus = PML(), minus = PECBoundary())

See also

BoundarySpec

Specifies boundary conditions on each side of the domain and along each dimension.

PML

A standard PML along a single dimension.

Notebooks

Attributes

Methods

absorber([num_layers, parameters])

Adiabatic absorber boundary specification on both sides along a dimension.

bloch(bloch_vec)

Bloch boundary specification on both sides along a dimension.

bloch_from_source(source, domain_size, axis)

Bloch boundary specification on both sides along a dimension based on a given source.

bloch_on_both_sides(values)

Error if a Bloch boundary is applied on only one side.

pec()

PEC boundary specification on both sides along a dimension.

periodic()

Periodic boundary specification on both sides along a dimension.

periodic_with_pec_pmc(values)

If a PBC is specified along with PEC or PMC on the other side, manually set the PBC to PEC or PMC so that no special treatment of halos is required.

periodic_with_pml(values)

Error if PBC is specified with a PML.

pmc()

PMC boundary specification on both sides along a dimension.

pml([num_layers, parameters])

PML boundary specification on both sides along a dimension.

stable_pml([num_layers, parameters])

Stable PML boundary specification on both sides along a dimension.

Inherited Common Usage

plus#
minus#
classmethod bloch_on_both_sides(values)[source]#

Error if a Bloch boundary is applied on only one side.

classmethod periodic_with_pml(values)[source]#

Error if PBC is specified with a PML.

classmethod periodic_with_pec_pmc(values)[source]#

If a PBC is specified along with PEC or PMC on the other side, manually set the PBC to PEC or PMC so that no special treatment of halos is required.

classmethod periodic()[source]#

Periodic boundary specification on both sides along a dimension.

Example

>>> pbc = Boundary.periodic()
classmethod bloch(bloch_vec)[source]#

Bloch boundary specification on both sides along a dimension.

Parameters:

bloch_vec (complex) – Normalized component of the Bloch vector in units of 2 * pi / (size along dimension) in the background medium, along the dimension in which the boundary is specified.

Example

>>> bloch = Boundary.bloch(bloch_vec=1)
classmethod bloch_from_source(source, domain_size, axis, medium=None)[source]#

Bloch boundary specification on both sides along a dimension based on a given source.

Parameters:
  • source (Union[GaussianBeam, ModeSource, PlaneWave]) – Angled source.

  • domain_size (float) – Size of the domain in the direction normal to the Bloch boundary

  • axis (int) – Axis normal to the Bloch boundary

  • medium (Medium) – Background medium associated with the Bloch vector. Default: free space.

Example

>>> from tidy3d import GaussianPulse, PlaneWave, inf
>>> pulse = GaussianPulse(freq0=200e12, fwidth=20e12)
>>> pw_source = PlaneWave(
...     size=(inf,inf,0), source_time=pulse, direction='+', angle_theta=0.2, angle_phi=0.3)
>>> bloch = Boundary.bloch_from_source(source=pw_source, domain_size=5, axis=0)
classmethod pec()[source]#

PEC boundary specification on both sides along a dimension.

Example

>>> pec = Boundary.pec()
classmethod pmc()[source]#

PMC boundary specification on both sides along a dimension.

Example

>>> pmc = Boundary.pmc()
classmethod pml(num_layers=12, parameters=PMLParams(sigma_order=3, sigma_min=0.0, sigma_max=1.5, type='PMLParams', kappa_order=3, kappa_min=1.0, kappa_max=3.0, alpha_order=1, alpha_min=0.0, alpha_max=0.0))[source]#

PML boundary specification on both sides along a dimension.

Parameters:
  • num_layers (int = 12) – Number of layers of standard PML to add to + and - boundaries.

  • parameters (PMLParams) – Parameters of the complex frequency-shifted absorption poles.

Example

>>> pml = Boundary.pml(num_layers=20)
classmethod stable_pml(num_layers=40, parameters=PMLParams(sigma_order=3, sigma_min=0.0, sigma_max=1.0, type='PMLParams', kappa_order=3, kappa_min=1.0, kappa_max=5.0, alpha_order=1, alpha_min=0.0, alpha_max=0.9))[source]#

Stable PML boundary specification on both sides along a dimension.

Parameters:
  • num_layers (int = 40) – Number of layers of ‘stable’ PML to add to + and - boundaries.

  • parameters (PMLParams) – ‘Stable’ parameters of the complex frequency-shifted absorption poles.

Example

>>> stable_pml = Boundary.stable_pml(num_layers=40)
classmethod absorber(num_layers=40, parameters=AbsorberParams(sigma_order=3, sigma_min=0.0, sigma_max=6.4, type='AbsorberParams'))[source]#

Adiabatic absorber boundary specification on both sides along a dimension.

Parameters:
  • num_layers (int = 40) – Number of layers of absorber to add to + and - boundaries.

  • parameters (PMLParams) – Adiabatic absorber parameters.

Example

>>> absorber = Boundary.absorber(num_layers=40)
__hash__()#

Hash method.