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.

中文翻译：

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平地半空间中的各向同性散射

我们通过维纳-霍夫方法解决了二维“平地”半空间中各向同性散射的米尔恩，恒源和反照率问题。推导出Flatland H函数，并提供基准值和Flatland特有的一些标识。蒙特卡罗模拟支持许多推导。