Second-order NLTMM¶

Main class¶

class NonlinearTMM.SecondOrderNLTMM(mode)¶

Bases: object

This class calculates second-order nonliner processes (e.g. sum-frequency, difference frequency generation and SPDC) in layered structures. Relies on the functionality of NonlinearTMM class.

Parameters:

modestr {‘sfg’, ‘dfg’, ‘spdc’}

Attributes:

P1NonlinearTMM: The inctance of the first pump wave TMM.
P2NonlinearTMM: The inctance of the second pump wave TMM.
GenNonlinearTMM: The inctance of the generated wave TMM.
deltaWlSpdcfloat: The spectral collection window (in nanometers) of the SPDC signal. Only used if mode is set to SPDC Default: NaN.
solidAngleSpdcfloat: The collection solid angle (srad) of the detector (given in vacuum). Only used if mode is set to SPDC Default: NaN.
deltaThetaSpdcfloat: The horizontal collection window (rad) of the detector (given in vacuum). It is used to calculate the vertical span of the detector. Only used if mode is set to SPDC Default: NaN.

Methods

`AddLayer`(d, material)	Adds layer to SecondOrderNLTMM.
`GetIntensities`()	Returns the intensities and amplitutes of incident, reflected and transmitted wave for `P1`, `P2` and `Gen`.
`SetParams`(**kwargs)	Helper method to set the values of all the attributes.
`Solve`()	Solves the structure.
`Sweep`(paramStr, valuesP1, valuesP2[, ...])	Solves the structure for series of `valuesP1` and `valuesP2` of param `paramStr`.
`UpdateGenParams`()	Forces the update of the wavelength and beta of the generated beam `Gen`.
`WaveGetFields2D`(zs, xs[, dirStr])	Calculates 2D electric and magnetic fields of beam propagating in the structure.
`WaveGetPowerFlows`(layerNr[, x0, x1, z])	Analogous to the `GetIntensities`, but calculates the powers of the beams instead of the intensities of the plane-waves.
`WaveSweep`(paramStr, valuesP1, valuesP2[, ...])	Solves the structure for waves for series of `valuesP1` and `valuesP2` of param `paramStr`.

AddLayer(d, material)¶

Adds layer to SecondOrderNLTMM. Equivalent of adding layer to P1, P2 and Gen.

Parameters:

dfloat: layer thickness (m)
materialMaterial: The class containing the material parameters.

GetIntensities()¶

Returns the intensities and amplitutes of incident, reflected and transmitted wave for P1, P2 and Gen. The structure must be solved first.

Returns:

_SecondOrderNLIntensities: Helper class to hold intensity data.

SetParams(**kwargs)¶: Helper method to set the values of all the attributes. See the docstring of Second-order NLTMM.

Solve()¶: Solves the structure.

Sweep(paramStr, valuesP1, valuesP2, layerNr=0, layerZ=0.0, outPwr=True, outAbs=False, outEnh=False, outP1=True, outP2=True, outGen=True)¶

Solves the structure for series of valuesP1 and valuesP2 of param paramStr. Using this function is more confortable and faster than just changing params and solving the structure (parallelized with OpenMP).

Parameters:

paramStrstr

‘wl’:: Wavelength in meters
‘beta’:: normalized tangential wavevector
‘I0’:: intensity of the wave

‘d_i’: thikness of layer i (0..N-1)

valuesP1ndarray of floats

Correspondig values of param paramStr for P1.

valuesP2ndarray of floats

Correspondig values of param paramStr for P2.

layerNrint

Specifies layer, where electrical field enhancment is calculated.

layerZdouble

Specifies z-coordinate of enchncment calculation inside layerNr.

outPwrbool

Turns calculation of intensities on/off.

outAbsbool

Turns calculation of absoprtiopn in the entire structure on/off.

outEnhbool

Turns calculation of enhancment in layer layerNr at distance layerZ on/off.values

outP1bool

Turns calculation of the P1 on/off.

outP2bool

Turns calculation of the P2 on/off.

outGenbool

Turns calculation of the Gen on/off.

Returns:

_SweepResultSecondOrderNLTMM: Helper class to store the result.

UpdateGenParams()¶: Forces the update of the wavelength and beta of the generated beam Gen.

WaveGetFields2D(zs, xs, dirStr='total')¶

Calculates 2D electric and magnetic fields of beam propagating in the structure. Analogous to the GetFields2D of plane waves. Only for the calculation of the power of generated beam. For pump beams use the same method of NonlinearTMM.

Parameters:

zsndarray of floats: Points on z-axis where to calculate the fields. The beginning of the first layer is at z = 0.
xsndarray of floats: Points on x-axis where to calculate the fields.
dir{‘total’, ‘forward’, ‘backward’}: Specifies the components of the output fields.

Returns:

_FieldsZX: Helper class to store electric and magnetic fields in regular grid.

WaveGetPowerFlows(layerNr, x0=float('nan'), x1=float('nan'), z=0.0)¶

Analogous to the GetIntensities, but calculates the powers of the beams instead of the intensities of the plane-waves. Only for the calculation of the power of generated beam. For pump beams use the same method of NonlinearTMM.

Parameters:

layerNrint: Specifies layer number where to calculate the power of the beam.
x0float: Specifies the starting point of the integration of the power in the x-direction. By default this parameter is selected by the _Wave class.
x1float: Specifies the end point of the integration of the power in the x-direction. By default this parameter is selected by the _Wave class.
zfloat: Specifies the z-position of the line through which the integration of the power of the beam is done.

Returns:

tuple of floats (PB, PF): PB is the power propageted into netagtive infinity and PF denotes the power propagation to the positive direction of z-axis.

WaveSweep(paramStr, valuesP1, valuesP2, layerNr=0, layerZ=0.0, outPwr=True, outR=False, outT=False, outEnh=False, outP1=True, outP2=True, outGen=True)¶

Solves the structure for waves for series of valuesP1 and valuesP2 of param paramStr. Using this function is more confortable and faster than just changing the params and solving the structure. Analogous to Sweep.

Parameters:

paramStrstr

‘wl’:: Wavelength in meters
‘beta’:: normalized tangential wavevector
‘I0’:: intensity of the wave
‘d_i’:: thikness of layer i (0..N-1)
‘w0’:: waist size of the input beam

valuesP1ndarray of floats

Correspondig values of param paramStr for P1.

valuesP2ndarray of floats

Correspondig values of param paramStr for P2.

layerNrint

Specifies layer, where electrical field enhancment is calculated.

layerZdouble

Specifies z-coordinate of enchncment calculation inside layerNr.

outPwrbool

Turns calculation of all powers on/off.

outRbool

Turns calculation of reflected power on/off.

outTbool

Turns calculation of transmitted power on/off.

outEnhbool

Turns calculation of enhancment in layer layerNr at distance layerZ on/off.

outP1bool

Turns calculation of the P1 on/off.

outP2bool

Turns calculation of the P2 on/off.

outGenbool

Turns calculation of the Gen on/off.

Returns:

_WaveSweepResultSecondOrderNLTMM: Helper class to store the result.

Helper classes¶

class NonlinearTMM._WaveSweepResultSecondOrderNLTMM¶

Bases: object

Helper class for SecondOrderNLTMM. Stores the results of WaveSweep method.

Attributes:

P1_WaveSweepResultNonlinearTMM: The sweep result of the first input beam.
P1_WaveSweepResultNonlinearTMM: The sweep result of the second input beam.
Gen_WaveSweepResultNonlinearTMM: The sweep result of the generated beam.
wlsGenndarray of floats: Stores the wavelength of the generated wave.
betasGenndarray of floats: Stores the normalized tangential wave vector the generated wave.

class NonlinearTMM._SweepResultSecondOrderNLTMM¶

Bases: object

Helper class for SecondOrderNLTMM. Stores the results of Sweep method.

Attributes:

P1_SweepResultNonlinearTMM: Sweep results for the first input wave.
P2_SweepResultNonlinearTMM: Sweep results for the second input wave.
Gen_SweepResultNonlinearTMM: Sweep results for the generated wave.
wlsGenndarray of floats: Stores the wavelength of the generated wave.
betasGenndarray of floats: Stores the normalized tangential wave vector the generated wave.

class NonlinearTMM._SecondOrderNLIntensities¶

Bases: object

This is a helper class for SecondOrderNLTMM. It stores the results of GetIntensities.

Attributes:

P1_Intensities: Instance of _Intensities class and holds the intensities of second inuput wave.
P2_Intensities: Instance of _Intensities class and holds the intensities of first inuput wave.
Gen_Intensities: Instance of _Intensities class and holds the intensities of generated wave.

Second-order NLTMM¶

Main class¶

Helper classes¶

NonlinearTMM

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