Using the Symbolic Fresnel Routines

Scott Prahl

Feb 2026

[1]:

%config InlineBackend.figure_format = 'retina'

import sys
import sympy

if sys.platform == "emscripten":
    import micropip

    await micropip.install("pypolar")

from pypolar import sym_fresnel

[2]:

theta = sympy.Symbol("theta")
m = sympy.Symbol("m")
sym_fresnel.t_par_amplitude(m, theta)

[2]:

$\displaystyle \frac{2 m \cos{\left(\theta \right)}}{m^{2} \cos{\left(\theta \right)} + \sqrt{m^{2} - \sin^{2}{\left(\theta \right)}}}$

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