A solvable microscopic model for the propagation of light in a dielectric medium

Fuente: arXiv
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Main Author: Dengler, Richard
Format: Preprint
Published: 2025
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author Dengler, Richard
author_facet Dengler, Richard
contents Maxwell's equations resemble Schrödinger's equation in that an exact solution for a well-defined model delivers all physically relevant details. Solvable microscopic electrodynamic models, however, are rare. An exception is the discrete dipole approximation (DDA), which models a medium as a lattice of point dipoles. We use a regularized DDA variant to examine mechanical and electromagnetic momentum of light signals in such a medium in detail. The results agree in essential parts with that of the theory of R. Peierls from 1976.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17415
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A solvable microscopic model for the propagation of light in a dielectric medium
Dengler, Richard
Classical Physics
Maxwell's equations resemble Schrödinger's equation in that an exact solution for a well-defined model delivers all physically relevant details. Solvable microscopic electrodynamic models, however, are rare. An exception is the discrete dipole approximation (DDA), which models a medium as a lattice of point dipoles. We use a regularized DDA variant to examine mechanical and electromagnetic momentum of light signals in such a medium in detail. The results agree in essential parts with that of the theory of R. Peierls from 1976.
title A solvable microscopic model for the propagation of light in a dielectric medium
topic Classical Physics
url https://arxiv.org/abs/2506.17415