EffectiveFrequencyCyl Class

class optical.effective.EffectiveFrequencyCyl(name='')

Calculate optical modes and optical field distribution using the effective frequency method in two-dimensional cylindrical space.

Subclasses

Mode

Detailed information about the mode.

Methods

clear_modes()

Clear all computed modes.

find_mode(lam[, m])

Compute the mode near the specified wavelength.

find_modes([start, end, m, resteps, ...])

Find the modes within the specified range using global method.

get_delta_neff(pos)

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

get_determinant(lam[, m])

Get modal determinant.

get_gain_integral([num])

Get total energy generated in the gain region to a mode in unit time.

get_nng(pos)

Return average index at specified radial position.

get_total_absorption([num])

Get total energy absorbed from a mode in unit time.

get_vert_determinant(vlam)

Get vertical modal determinant for debugging purposes.

initialize()

Initialize solver.

invalidate()

Set the solver back to uninitialized state.

set_mode(...)

Set the current mode the specified wavelength.

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].

outLoss

Provider of the computed modal extinction [1/cm].

outRefractiveIndex

Provider of the computed refractive index [-].

outWavelength

Provider of the computed wavelength [nm].

Other

determinant_mode

Radial determinant mode.

emission

Emission direction.

geometry

Geometry provided to the solver

id

Id of the solver object.

initialized

True if the solver has been initialized.

k0

Reference normalized frequency.

lam0

Reference wavelength.

mesh

Mesh provided to the solver.

modes

List of the computed 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

Radial position of at which the vertical part of the field is calculated.

vlam

'Vertical wavelength' used as a helper for searching vertical modes.

Descriptions

Method Details

EffectiveFrequencyCyl.clear_modes()

Clear all computed modes.

EffectiveFrequencyCyl.find_mode(lam, m=0)

Compute the mode near the specified wavelength.

Parameters:
  • lam (complex) – Initial wavelength to for root finging algorithm.

  • m (int) – Angular mode number (O for LP0x, 1 for LP1x, etc.).

Returns:

Index in the modes list of the found mode.

Return type:

integer

EffectiveFrequencyCyl.find_modes(start=0.0, end=0.0, m=0, resteps=256, imsteps=64, eps=1e-06 + 1e-09j)

Find the modes within the specified range using global method.

Parameters:
  • m (int) – Angular mode number (O for LP0x, 1 for LP1x, etc.).

  • 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

EffectiveFrequencyCyl.get_delta_neff(pos)

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

Parameters:

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

EffectiveFrequencyCyl.get_determinant(lam, m=0)

Get modal determinant.

Parameters:
  • lam (complex of numeric array of complex) – wavelength to compute the determinant at.

  • m (int) – Angular mode number (O for LP0x, 1 for LP1x, etc.).

EffectiveFrequencyCyl.get_gain_integral(num=0)

Get total energy generated in the gain region to a mode in unit time.

Parameters:

num (int) – number of the mode.

Returns:

Total generated energy (mW).

EffectiveFrequencyCyl.get_nng(pos)

Return average index at specified radial position.

Parameters:

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

EffectiveFrequencyCyl.get_total_absorption(num=0)

Get total energy absorbed from a mode in unit time.

Parameters:

num (int) – number of the mode.

Returns:

Total absorbed energy (mW).

EffectiveFrequencyCyl.get_vert_determinant(vlam)

Get vertical modal determinant for debugging purposes.

Parameters:
  • vlam (complex of numeric array of complex) – Vertical wavelength value

  • at. (to compute the determinant) –

Returns:

Determinant at the vertical wavelength vlam or an array matching its size.

Return type:

complex or list of complex

EffectiveFrequencyCyl.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

EffectiveFrequencyCyl.invalidate()

Set the solver back to uninitialized state.

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

EffectiveFrequencyCyl.set_mode(lam, m=0)
EffectiveFrequencyCyl.set_mode(lam, loss, m=0)

Set the current mode the specified wavelength.

Parameters:
  • lam (float of complex) – Mode wavelength.

  • loss (float) – Mode losses. Allowed only if lam is a float.

  • m (int) – Angular mode number (O for LP0x, 1 for LP1x, etc.).

EffectiveFrequencyCyl.set_simple_mesh()

Set simple mesh based on the geometry objects bounding boxes.

Receiver Details

EffectiveFrequencyCyl.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 CarriersConcentrationReceiverCyl.

Example

Connect the receiver to a provider from some other solver:

>>> solver.inCarriersConcentration = other_solver.outCarriersConcentration

See also

Receciver class: plask.flow.CarriersConcentrationReceiverCyl

Provider class: plask.flow.CarriersConcentrationProviderCyl

Data filter: plask.filter.CarriersConcentrationFilterCyl

EffectiveFrequencyCyl.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 GainReceiverCyl.

Example

Connect the receiver to a provider from some other solver:

>>> solver.inGain = other_solver.outGain

See also

Receciver class: plask.flow.GainReceiverCyl

Provider class: plask.flow.GainProviderCyl

Data filter: plask.filter.GainFilterCyl

EffectiveFrequencyCyl.inTemperature = <property object>

Receiver of the temperature required for computations [K].

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

Example

Connect the receiver to a provider from some other solver:

>>> solver.inTemperature = other_solver.outTemperature

See also

Receciver class: plask.flow.TemperatureReceiverCyl

Provider class: plask.flow.TemperatureProviderCyl

Data filter: plask.filter.TemperatureFilterCyl

Provider Details

EffectiveFrequencyCyl.outElectricField = <property object>

Alias for outLightE.

EffectiveFrequencyCyl.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.HeatProviderCyl

Receciver class: plask.flow.HeatReceiverCyl

EffectiveFrequencyCyl.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.ModeLightEProviderCyl

Receciver class: plask.flow.ModeLightEReceiverCyl

EffectiveFrequencyCyl.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
EffectiveFrequencyCyl.outLoss(n=0) = <property object>

Provider of the computed modal extinction [1/cm].

Parameters:

n (int) – Value number.

Returns:

Value of the modal extinction [1/cm].

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.inModeLoss = solver.outLoss

Obtain the provided value:

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

Test the number of provided values:

>>> len(solver.outLoss)
3

See also

Provider class: plask.flow.ModeLossProvider

Receciver class: plask.flow.ModeLossReceiver

EffectiveFrequencyCyl.outRefractiveIndex(mesh, interpolation='default') = <property object>

Provider of the computed refractive index [-].

Parameters:
  • mesh (mesh) – Target mesh to get the field at.

  • interpolation (str) – Requested interpolation method.

Returns:

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

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inRefractiveIndex = solver.outRefractiveIndex

Obtain the provided field:

>>> solver.outRefractiveIndex(mesh)
<plask.Data at 0x1234567>
EffectiveFrequencyCyl.outWavelength(n=0) = <property object>

Provider of the computed wavelength [nm].

Parameters:

n (int) – Value number.

Returns:

Value of the wavelength [nm].

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.inModeWavelength = solver.outWavelength

Obtain the provided value:

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

Test the number of provided values:

>>> len(solver.outWavelength)
3

See also

Provider class: plask.flow.ModeWavelengthProvider

Receciver class: plask.flow.ModeWavelengthReceiver

Attribute Details

EffectiveFrequencyCyl.determinant_mode = <property object>

Radial determinant mode.

This parameter determines the method used to compute radial determinant. If it is set to ‘transfer’, 2x2 transfer matrix is used to ensure field continuity at the interfaces. For the ‘full’ value, one single matrix is constructed for all the interfaces and its determinant is returned.

EffectiveFrequencyCyl.emission = <property object>

Emission direction.

EffectiveFrequencyCyl.geometry = <property object>

Geometry provided to the solver

EffectiveFrequencyCyl.id = <property object>

Id of the solver object. (read only)

Example

>>> mysolver.id
mysolver:category.type
EffectiveFrequencyCyl.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.

EffectiveFrequencyCyl.k0 = <property object>

Reference normalized frequency.

EffectiveFrequencyCyl.lam0 = <property object>

Reference wavelength.

EffectiveFrequencyCyl.mesh = <property object>

Mesh provided to the solver.

EffectiveFrequencyCyl.modes = <property object>

List of the computed modes.

Item Attributes

m

LP_mn mode parameter describing angular dependence.

lam

Alias for wavelength.

wavelength

Mode wavelength (nm).

power

Total power emitted into the mode.

total_absorption

Cumulated absorption for the mode (mW).

gain_integral

Total gain for the mode (mW).

Return type:

optical.effective.EffectiveFrquencyCyl.Mode

EffectiveFrequencyCyl.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

EffectiveFrequencyCyl.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

EffectiveFrequencyCyl.vat = <property object>

Radial position of at which the vertical part of the field is calculated.

Should be a float number or None to compute effective frequencies for all the stripes.

EffectiveFrequencyCyl.vlam = <property object>

‘Vertical wavelength’ used as a helper for searching vertical modes.