EffectiveIndex2D Class¶

class optical.effective.EffectiveIndex2D(name='')¶: Calculate optical modes and optical field distribution using the effective index method in two-dimensional Cartesian space.

Subclasses¶

Mode

Detailed information about the mode.

Methods¶

`clear_modes`()	Clear all computed modes.
`find_mode`(neff[, symmetry])	Compute the mode near the specified effective index.
`find_modes`([start, end, symmetry, resteps, ...])	Find the modes within the specified range using global method.
`get_delta_neff`(pos)	Return effective index part for lateral propagation at specified horizontal position.
`get_determinant`(neff)	Get modal determinant.
`get_total_absorption`([num])	Get total energy absorbed by from a mode in unit time.
`get_vert_determinant`(neff)	Get vertical modal determinant for debugging purposes.
`initialize`()	Initialize solver.
`invalidate`()	Set the solver back to uninitialized state.
`search_vneff`([start, end, resteps, imsteps, eps])	Find the effective indices in the vertical direction within the specified range using global method.
`set_mode`(arg2[, symmetry])	Set the current mode the specified effective index.
`set_simple_mesh`()	Set simple mesh based on the geometry objects bounding boxes.

Attributes¶

Receivers¶

`inCarriersConcentration`	Receiver of the carriers concentration required for computations [1/cm³].
`inGain`	Receiver of the material gain required for computations [1/cm].
`inTemperature`	Receiver of the temperature required for computations [K].

Providers¶

`outElectricField`	Alias for `outLightE`.
`outHeat`	Provider of the computed heat sources density [W/m³].
`outLightE`	Provider of the computed electric field [V/m].
`outLightMagnitude`	Provider of the computed optical field magnitude [W/m²].
`outNeff`	Provider of the computed effective index [-].
`outRefractiveIndex`	Provider of the computed refractive index [-].

Other¶

`emission`	Emission direction.
`geometry`	Geometry provided to the solver
`id`	Id of the solver object.
`initialized`	True if the solver has been initialized.
`mesh`	Mesh provided to the solver.
`mirrors`	Mirror reflectivities.
`modes`	List of the computed modes.
`polarization`	Polarization of the searched modes.
`root`	Configuration of the root searching algorithm for horizontal component of the mode.
`stripe_root`	Configuration of the root searching algorithm for vertical component of the mode in a single stripe.
`vat`	Horizontal position of the main stripe (with dominant mode).
`vneff`	Effective index in the vertical direction.
`wavelength`	Current wavelength.

Descriptions¶

Method Details¶

EffectiveIndex2D.clear_modes()¶: Clear all computed modes.

EffectiveIndex2D.find_mode(neff, symmetry=None)¶

Compute the mode near the specified effective index.

Parameters:

neff (complex) – Starting point of the root search.
symmetry ('+' or '-') – Symmetry of the mode to search. If this parameter is not specified, the default symmetry is used: positive mode symmetry fir symmetrical geometries and no symmetry for asymmetrical geometries.

Returns:

Index in the modes list of the found mode.

Return type:

integer

EffectiveIndex2D.find_modes(start=0.0, end=0.0, symmetry=None, resteps=256, imsteps=64, eps=1e-06 + 1e-09j)¶

Find the modes within the specified range using global method.

Parameters:

start (complex) – Start of the search range (0 means automatic).
end (complex) – End of the search range (0 means automatic).
resteps (integer) – Number of steps on the real axis during the search.
imsteps (integer) – Number of steps on the imaginary axis during the search.
eps (complex) – required precision of the search.

Returns:

List of the indices in the modes list of the found modes.

Return type:

list of integers

EffectiveIndex2D.get_delta_neff(pos)¶

Return effective index part for lateral propagation at specified horizontal position.

Parameters:: pos (float or array of floats) – Horizontal position to get the effective index.

EffectiveIndex2D.get_determinant(neff)¶

Get modal determinant.

Parameters:

neff (complex or array of complex) – effective index value
at. (to compute the determinant) –

Returns:

Determinant at the effective index neff or an array matching its size.

Return type:

complex or list of complex

EffectiveIndex2D.get_total_absorption(num=0)¶

Get total energy absorbed by from a mode in unit time.

Parameters:: num (int) – number of the mode.
Returns:: Total absorbed energy (mW).

EffectiveIndex2D.get_vert_determinant(neff)¶

Get vertical modal determinant for debugging purposes.

Parameters:

neff (complex of numeric array of complex) – Vertical effective index value
at. (to compute the determinant) –

Returns:

Determinant at the vertical effective index neff or an array matching its size.

Return type:

complex or list of complex

EffectiveIndex2D.initialize()¶

Initialize solver.

This method manually initialized the solver and sets initialized to True. Normally calling it is not necessary, as each solver automatically initializes itself when needed.

Returns:: solver initialized state prior to this method call.
Return type:: bool

EffectiveIndex2D.invalidate()¶

Set the solver back to uninitialized state.

This method frees the memory allocated by the solver and sets initialized to False.

EffectiveIndex2D.search_vneff(start=0.0, end=0.0, resteps=256, imsteps=64, eps=1e-06 + 1e-09j)¶

Find the effective indices in the vertical direction within the specified range using global method.

Parameters:

start (complex) – Start of the search range (0 means automatic).
end (complex) – End of the search range (0 means automatic).
resteps (integer) – Number of steps on the real axis during the search.
imsteps (integer) – Number of steps on the imaginary axis during the search.
eps (complex) – required precision of the search.

Returns:

List of the found effective indices in the vertical direction.

Return type:

list of floats

EffectiveIndex2D.set_mode(arg2, symmetry=None)¶

Set the current mode the specified effective index.

Parameters:

neff (complex) – Mode effective index.
symmetry ('+' or '-') – Symmetry of the mode to search.

EffectiveIndex2D.set_simple_mesh()¶: Set simple mesh based on the geometry objects bounding boxes.

Receiver Details¶

EffectiveIndex2D.inCarriersConcentration = <property object>¶

Receiver of the carriers concentration required for computations [1/cm³].

You will find usage details in the documentation of the receiver class CarriersConcentrationReceiver2D.

Example

Connect the receiver to a provider from some other solver:

>>> solver.inCarriersConcentration = other_solver.outCarriersConcentration

Provider class: plask.flow.CarriersConcentrationProvider2D

Data filter: plask.filter.CarriersConcentrationFilter2D

EffectiveIndex2D.inGain = <property object>¶

Receiver of the material gain required for computations [1/cm].

You will find usage details in the documentation of the receiver class GainReceiver2D.

Example

Connect the receiver to a provider from some other solver:

>>> solver.inGain = other_solver.outGain

See also

Receciver class: plask.flow.GainReceiver2D

Provider class: plask.flow.GainProvider2D

Data filter: plask.filter.GainFilter2D

EffectiveIndex2D.inTemperature = <property object>¶

Receiver of the temperature required for computations [K].

You will find usage details in the documentation of the receiver class TemperatureReceiver2D.

Example

Connect the receiver to a provider from some other solver:

>>> solver.inTemperature = other_solver.outTemperature

See also

Receciver class: plask.flow.TemperatureReceiver2D

Provider class: plask.flow.TemperatureProvider2D

Data filter: plask.filter.TemperatureFilter2D

Provider Details¶

EffectiveIndex2D.outElectricField = <property object>¶: Alias for outLightE.

EffectiveIndex2D.outHeat(mesh, interpolation='default') = <property object>¶

Provider of the computed heat sources density [W/m³].

Parameters:

mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.

Returns:

Data with the heat sources density on the specified mesh [W/m³].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inHeat = solver.outHeat

Obtain the provided field:

>>> solver.outHeat(mesh)
<plask.Data at 0x1234567>

See also

Provider class: plask.flow.HeatProvider2D

Receciver class: plask.flow.HeatReceiver2D

EffectiveIndex2D.outLightE(n=0, mesh, interpolation='default') = <property object>¶

Provider of the computed electric field [V/m].

Parameters:

n (int) – Number of the mode found with find_mode().
mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.

Returns:

Data with the electric field on the specified mesh [V/m].

You may obtain the number of different values this provider can return by testing its length.

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inModeLightE = solver.outLightE

Obtain the provided field:

>>> solver.outLightE(0, mesh)
<plask.Data at 0x1234567>

Test the number of provided values:

>>> len(solver.outLightE)
3

See also

Provider class: plask.flow.ModeLightEProvider2D

Receciver class: plask.flow.ModeLightEReceiver2D

EffectiveIndex2D.outLightMagnitude(n=0, mesh, interpolation='default') = <property object>¶

Provider of the computed optical field magnitude [W/m²].

Parameters:

n (int) – Number of the mode found with find_mode().
mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.

Returns:

Data with the optical field magnitude on the specified mesh [W/m²].

You may obtain the number of different values this provider can return by testing its length.

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inModeLightMagnitude = solver.outLightMagnitude

Obtain the provided field:

>>> solver.outLightMagnitude(0, mesh)
<plask.Data at 0x1234567>

Test the number of provided values:

>>> len(solver.outLightMagnitude)
3

Receciver class: plask.flow.ModeLightMagnitudeReceiver2D

EffectiveIndex2D.outNeff(n=0) = <property object>¶

Provider of the computed effective index [-].

Parameters:: n (int) – Value number.
Returns:: Value of the effective index [-].

You may obtain the number of different values this provider can return by testing its length.

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inModeEffectiveIndex = solver.outNeff

Obtain the provided value:

>>> solver.outNeff(n=0)
1000

Test the number of provided values:

>>> len(solver.outNeff)
3

Receciver class: plask.flow.ModeEffectiveIndexReceiver

EffectiveIndex2D.outRefractiveIndex(n=0, mesh, lam=DEFAULT, interpolation='default') = <property object>¶

Provider of the computed refractive index [-].

Parameters:

comp (str) – Component of a diagonal refractive index derivative to return. Can be ‘ll’, ‘tt’, ‘vv’, or equivalent using current axes names. For scalar solvers this argument is ignored and can be skipped.
mesh (mesh) – Target mesh to get the field at.
interpolation (str) – Requested interpolation method.
lam (float) – Complex wavelength at which the refractive index is computed (nm).

Returns:

Data with the refractive index on the specified mesh [-].

You may obtain the number of different values this provider can return by testing its length.

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inRefractiveIndex = solver.outRefractiveIndex

Obtain the provided field:

>>> solver.outRefractiveIndex(0, mesh, lam=DEFAULT)
<plask.Data at 0x1234567>

Test the number of provided values:

>>> len(solver.outRefractiveIndex)
3

Receciver class: plask.flow.RefractiveIndexReceiver2D

Attribute Details¶

EffectiveIndex2D.emission = <property object>¶: Emission direction.

EffectiveIndex2D.geometry = <property object>¶: Geometry provided to the solver

EffectiveIndex2D.id = <property object>¶

Id of the solver object. (read only)

Example

>>> mysolver.id
mysolver:category.type

EffectiveIndex2D.initialized = <property object>¶

True if the solver has been initialized. (read only)

Solvers usually get initialized at the beginning of the computations. You can clean the initialization state and free the memory by calling the invalidate() method.

EffectiveIndex2D.mesh = <property object>¶: Mesh provided to the solver.

EffectiveIndex2D.mirrors = <property object>¶: Mirror reflectivities. If None then they are automatically estimated from theFresnel equations.

EffectiveIndex2D.modes = <property object>¶

List of the computed modes.

Item Attributes

`neff`	Mode effective index.
`symmetry`	Mode symmetry ('positive', 'negative', or None).
`power`	Total power emitted into the mode (mW).
`total_absorption`	Cumulated absorption for the mode (mW).

Return type:: optical.effecticve.EffectiveIndex2D.Mode

EffectiveIndex2D.polarization = <property object>¶: Polarization of the searched modes.

EffectiveIndex2D.root = <property object>¶

Configuration of the root searching algorithm for horizontal component of the mode.

Attributes:

`alpha`	Parameter ensuring sufficient decrease of determinant in each step (Broyden method only).
`lambd`	Minimum decrease ratio of one step (Broyden method only).
`initial_range`	Initial range size (Muller and Brent methods only).
`maxiter`	Maximum number of iterations.
`maxstep`	Maximum step in one iteration (Broyden method only).
`method`	Root finding method ('muller', 'broyden', or 'brent')
`tolf_max`	Required tolerance on the function value.
`tolf_min`	Sufficient tolerance on the function value.
`tolx`	Absolute tolerance on the argument.
`stairs`	Number of staircase iterations (Brent method only).

Return type:: RootParams

EffectiveIndex2D.stripe_root = <property object>¶

Configuration of the root searching algorithm for vertical component of the mode in a single stripe.

Attributes:

`alpha`	Parameter ensuring sufficient decrease of determinant in each step (Broyden method only).
`lambd`	Minimum decrease ratio of one step (Broyden method only).
`initial_range`	Initial range size (Muller and Brent methods only).
`maxiter`	Maximum number of iterations.
`maxstep`	Maximum step in one iteration (Broyden method only).
`method`	Root finding method ('muller', 'broyden', or 'brent')
`tolf_max`	Required tolerance on the function value.
`tolf_min`	Sufficient tolerance on the function value.
`tolx`	Absolute tolerance on the argument.
`stairs`	Number of staircase iterations (Brent method only).

Return type:: RootParams

EffectiveIndex2D.vat = <property object>¶: Horizontal position of the main stripe (with dominant mode).

EffectiveIndex2D.vneff = <property object>¶: Effective index in the vertical direction.

EffectiveIndex2D.wavelength = <property object>¶: Current wavelength.

PLaSK User Manual

PLaSK User Manual

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EffectiveIndex2D Class¶

Subclasses¶

Methods¶

Attributes¶

Receivers¶

Providers¶

Other¶

Descriptions¶

Method Details¶

Receiver Details¶

Provider Details¶

Attribute Details¶

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Page Contents

EffectiveIndex2D Class¶

Subclasses¶

Methods¶

Attributes¶

Receivers¶

Providers¶

Other¶

Descriptions¶

Method Details¶

Receiver Details¶

Provider Details¶

Attribute Details¶