warpy.post_processing.band_diagrams.analytical_1d Namespace Reference

Classes
class	Bands1D
	Base class for 1D photonic band objects. More...

Functions
def	analytic_1d_sine (wp, chi, Kx, Ky, Nx, gx=1., c=1., **kwargs)
	Solves analytical dispersion relation for a 1D sine density perturbation.
def	analytic_1d_fsquare (wp, chi, Kx, Nx, fterms, gx=1., c=1., **kwargs)
	Solves analytical dispersion relation for a 1D Fourier square density perp.
def	analytic_1d_arb (wp0, nn, Kx, Nx, fterms, **kwargs)
	Solves analytical dispersion relation for arbitrary density profile.

Variables
	try :
	except :

Function Documentation

analytic_1d_arb()

def warpy.post_processing.band_diagrams.analytical_1d.analytic_1d_arb	(		wp0,
			nn,
			Kx,
			Nx,
			fterms,
		**	kwargs
	)

Solves analytical dispersion relation for arbitrary density profile.

Performs Fourier transform of density profile and uses Fourier coefficients to constructs matrix of coupled dispersion relations offset by integer multiples of gx and then solves for the eigenvalues of the system.

Parameters

wp	Normalized average plasma frequency
nx	Array containing values of the normalized number density from x=-a/2 to a/2
Kx	Array of normalized wave numbers at which to evaluate the system
Nx	Number of coupling terms to include in x, system will be size 2N+1
fterms	Number of terms used to approximate the density function

analytic_1d_fsquare()

def warpy.post_processing.band_diagrams.analytical_1d.analytic_1d_fsquare	(		wp,
			chi,
			Kx,
			Nx,
			fterms,
			gx = 1.,
			c = 1.,
		**	kwargs
	)

Solves analytical dispersion relation for a 1D Fourier square density perp.

Constructs matrix of coupled dispersion relations offset by integer multiples of gx and then solves for the eigenvalues of the system.

Parameters

wp	Average plasma frequency
chi	Ratio of peak plasma density to average plasma density
Kx	Array of wave numbers in x
Nx	Number of coupling terms to include in x
fterms	Number of Fourier terms in square wave approximation
gx	Wave number of density perturbation in x
c	Speed of light

analytic_1d_sine()

def warpy.post_processing.band_diagrams.analytical_1d.analytic_1d_sine	(		wp,
			chi,
			Kx,
			Ky,
			Nx,
			gx = 1.,
			c = 1.,
		**	kwargs
	)

Solves analytical dispersion relation for a 1D sine density perturbation.

Constructs matrix of coupled dispersion relations offset by integer multiples of gx and then solves for the eigenvalues of the system.

Parameters

wp	Average plasma frequency
chi	Ratio of peak plasma density to average plasma density
Kx	Array of wave numbers in x
Nx	Number of coupling terms to include in x
gx	Wave number of density perturbation in x
c	Speed of light

Variable Documentation

except

warpy.post_processing.band_diagrams.analytical_1d.except :

try

warpy.post_processing.band_diagrams.analytical_1d.try :