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Isotropic Scattering in a Flatland Half-Space (1802.02120v3)
Published 3 Feb 2018 in physics.class-ph and cs.GR
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.