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Isotropic Scattering in a Flatland Half-Space

Classical Physics 2021-02-19 v3 Graphics

Abstract

We solve the Milne, constant-source and albedo problems for isotropic scattering in a two-dimensional "Flatland" half-space via the Wiener-Hopf method. The Flatland HH-function is derived and benchmark values and some identities unique to Flatland are presented. A number of the derivations are supported by Monte Carlo simulation.

Keywords

Cite

@article{arxiv.1802.02120,
  title  = {Isotropic Scattering in a Flatland Half-Space},
  author = {Eugene d'Eon and M. M. R. Williams},
  journal= {arXiv preprint arXiv:1802.02120},
  year   = {2021}
}

Comments

final version, accepted to JCTT

R2 v1 2026-06-23T00:13:27.281Z