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from sympy.physics.optics.polarization import (jones_vector, stokes_vector, |
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jones_2_stokes, linear_polarizer, phase_retarder, half_wave_retarder, |
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quarter_wave_retarder, transmissive_filter, reflective_filter, |
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mueller_matrix, polarizing_beam_splitter) |
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from sympy.core.numbers import (I, pi) |
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from sympy.core.singleton import S |
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from sympy.core.symbol import symbols |
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from sympy.functions.elementary.exponential import exp |
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from sympy.matrices.dense import Matrix |
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def test_polarization(): |
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assert jones_vector(0, 0) == Matrix([1, 0]) |
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assert jones_vector(pi/2, 0) == Matrix([0, 1]) |
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assert stokes_vector(0, 0) == Matrix([1, 1, 0, 0]) |
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assert stokes_vector(pi/2, 0) == Matrix([1, -1, 0, 0]) |
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H = jones_vector(0, 0) |
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V = jones_vector(pi/2, 0) |
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D = jones_vector(pi/4, 0) |
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A = jones_vector(-pi/4, 0) |
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R = jones_vector(0, pi/4) |
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L = jones_vector(0, -pi/4) |
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res = [Matrix([1, 1, 0, 0]), |
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Matrix([1, -1, 0, 0]), |
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Matrix([1, 0, 1, 0]), |
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Matrix([1, 0, -1, 0]), |
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Matrix([1, 0, 0, 1]), |
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Matrix([1, 0, 0, -1])] |
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assert [jones_2_stokes(e) for e in [H, V, D, A, R, L]] == res |
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assert linear_polarizer(0) == Matrix([[1, 0], [0, 0]]) |
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delta = symbols("delta", real=True) |
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res = Matrix([[exp(-I*delta/2), 0], [0, exp(I*delta/2)]]) |
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assert phase_retarder(0, delta) == res |
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assert half_wave_retarder(0) == Matrix([[-I, 0], [0, I]]) |
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res = Matrix([[exp(-I*pi/4), 0], [0, I*exp(-I*pi/4)]]) |
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assert quarter_wave_retarder(0) == res |
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assert transmissive_filter(1) == Matrix([[1, 0], [0, 1]]) |
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assert reflective_filter(1) == Matrix([[1, 0], [0, -1]]) |
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res = Matrix([[S(1)/2, S(1)/2, 0, 0], |
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[S(1)/2, S(1)/2, 0, 0], |
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[0, 0, 0, 0], |
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[0, 0, 0, 0]]) |
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assert mueller_matrix(linear_polarizer(0)) == res |
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res = Matrix([[1, 0, 0, 0], [0, 0, 0, -I], [0, 0, 1, 0], [0, -I, 0, 0]]) |
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assert polarizing_beam_splitter() == res |
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