nenupy.astro.jones_mueller

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Jones - Mueller Formalism

class nenupy.astro.jones_mueller.JonesMatrix(input_array)

Bases: PolarizerMatrix

Class handling Jones matrices. The Jones matrices are operators that act on Jones vectors.

Methods Summary

to_mueller()

Class Methods Summary

elliptical(theta, delta)	Ideal elliptical, producing elliptically polarized light with azimuth \(\psi\) and ellipticity \(\omega\) such that :math`tan(2psi)=tan(2theta)cos(delta)` and :math:`sin(2omega)=sin(2theta)sin(delta).
linear_retarder(theta, delta)	Linear retarder with its fast axis at an angle \(\theta\) and retardation \(\delta\).
right_circular()
left_circular()
linear(theta)	Linear polarizer whose principal axis subtends an angle \(\theta\) with the horizontal.
quarter_waveplate_retarder(theta)	Waveplate that converts linearly polarized light into circularly polarized light and vice versa.
half_waveplate_retarder(theta)	Waveplate that shifts the polarization direction of linearly polarized light.

Attributes and Methods Documentation

classmethod elliptical(theta, delta)

Ideal elliptical, producing elliptically polarized light with azimuth \(\psi\) and ellipticity \(\omega\) such that :math`tan(2psi)=tan(2theta)cos(delta)` and :math:`sin(2omega)=sin(2theta)sin(delta).

Parameters:

• theta (float) – in degrees.

• delta (float) – in degrees.

Theocaris, Matrix Theory of Photoelasticity, Table 4.1, 1979

classmethod linear_retarder(theta, delta)

Linear retarder with its fast axis at an angle \(\theta\) and retardation \(\delta\).

Parameters:

• theta (float) – Rotation angle (in degrees) between the horizontal plane and the fast axis.

• delta (float) – Phase delay (in degrees) between the fast and the slow axes.

See also

Theocaris, Matrix Theory of Photoelasticity, Table 4.2, 1979

to_mueller()

class nenupy.astro.jones_mueller.JonesVector(input_array)

Bases: PolarVector

abstract classmethod circular(angle_deg=90)

classmethod linear(angle_deg=0)

to_stokes()

class nenupy.astro.jones_mueller.MuellerMatrix(input_array)

Bases: PolarizerMatrix

Class handling Mueller matrices. The Mueller matrices are operators that act on Stokes vectors.

Methods Summary

to_jones()
to_hermitian()

Class Methods Summary

elliptical(theta, delta)	Ideal elliptical, producing elliptically polarized light with azimuth \(\psi\) and ellipticity \(\omega\) such that :math`tan(2psi)=tan(2theta)cos(delta)` and :math:`sin(2omega)=sin(2theta)sin(delta).
linear_retarder(theta, delta)	Theocaris, Matrix Theory of Photoelasticity, eq.
right_circular()
left_circular()
linear(theta)	Linear polarizer whose principal axis subtends an angle \(\theta\) with the horizontal.
quarter_waveplate_retarder(theta)	Waveplate that converts linearly polarized light into circularly polarized light and vice versa.
half_waveplate_retarder(theta)	Waveplate that shifts the polarization direction of linearly polarized light.

Attributes and Methods Documentation

classmethod elliptical(theta, delta)

Ideal elliptical, producing elliptically polarized light with azimuth \(\psi\) and ellipticity \(\omega\) such that :math`tan(2psi)=tan(2theta)cos(delta)` and :math:`sin(2omega)=sin(2theta)sin(delta).

Parameters:

• theta (float) – in degrees.

• delta (float) – in degrees.

Theocaris, Matrix Theory of Photoelasticity, Table 4.3, 1979

classmethod linear_retarder(theta, delta)

Theocaris, Matrix Theory of Photoelasticity, eq. 4.44, 1979

to_hermitian()

\[\mathbf{H} = \frac{1}{4} \sum_{i,j=0}^{3} M_{ij}( \mathbf{sigma_i} \kron \mathbf{\sigma}_j^{\star})\]

ref : https://arxiv.org/pdf/1906.11198.pdf eq. 6

to_jones()

class nenupy.astro.jones_mueller.PolarVector

Bases: ndarray, ABC

classmethod anti_diagonal()

abstract classmethod circular(angle_deg)

classmethod diagonal()

classmethod horizontal()

classmethod left_circular()

abstract classmethod linear(angle_deg)

classmethod right_circular()

classmethod vertical()