Isotropic Scattering in a Flatland Half-Space

Eugene d'Eon; M. M. R. Williams

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Isotropic Scattering in a Flatland Half-Space

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arxiv 1802.02120 v3 pith:WIJ363MK submitted 2018-02-03 physics.class-ph cs.GR

Eugene d'Eon , M. M. R. Williams This is my paper · ORCID

classification physics.class-phcs.GR

keywords flatlandhalf-spaceisotropicscatteringalbedobenchmarkcarloconstant-source

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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 $H$-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.

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