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arXiv · 2203.03233

On the unique solvability of radiative transfer equations with polarization

Vincent Bosboom·Matthias Schlottbom·Felix Schwenninger
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Abstract

We investigate the well-posedness of the radiative transfer equation with polarization and varying refractive index. The well-posedness analysis includes non-homogeneous boundary value problems on bounded spatial domains, which requires the analysis of suitable trace spaces. Additionally, we discuss positivity, Hermiticity, and norm-preservation of the matrix-valued solution. As auxiliary results, we derive new trace inequalities for products of matrices.

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Vincent Bosboom, Matthias Schlottbom, Felix Schwenninger. 2022-03-07. On the unique solvability of radiative transfer equations with polarization. https://arxiv.org/abs/2203.03233

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