Numerical Simulation of Polarized Light and Temperature with a Refractive Interface

2024/07/02 by Olivier Pironneau, Pironneau, Olivier
Engineering · #3510 #35Q35 #35Q85 #80A21 #80M10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #G.1.8 #G.1.9 #Mathematical Physics (math-ph) #Optics (physics.optics) #Photonic and Optical Devices #Semiconductor Lasers and Optical Devices

paper · pdf · doi:10.48550/arxiv.2407.02108

openalex created_date 2024/06/18 · openalex publication_date 2024/07/02 · openalex updated_date 2026/07/28

Abstract

In this article we propose a numerical algorithm to compute the intensity and polarization of a polychromatic electromagnetic radiation crossing a medium with graded refractive index and modeled by the Vector Radiative Refractive Transfer Equations (VRRTE). Special attention is given to the case where the refractive index has a discontinuity for which the Fresnel conditions are necessary. We assume that the only spatial variable of interest is the altitude (stratified medium). An algorithm based on iterations of the sources is shown to be monotone and convergent. Numerical examples are given with highly varying absorption coefficient kappa and Rayleigh scattering as in the Earth atmosphere. To study the effect of CO2 in the atmosphere kappa is changed in the frequency ranges where CO2 is absorbing.

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