4 papers
First-return statistics and the point-spread function of a Henyey-Greenstein random walk - a far-field stable law
Claude Zeller, Robert Cordery
A particle launched normally into a half space, scattering by the Henyey-Greenstein (HG) phase function, exits after a first-return time whose count of flights n approaches the dis…
Finite slab first passage statistics of Henyey Greenstein scattering
Robert Cordery, Claude Zeller
A photon entering a plane parallel scattering slab performs a random walk and eventually escapes through one of the two faces or is absorbed. The standard model employs a Henyey Gr…
Finite-Slab Reflectance and Transmittance for Henyey-Greenstein Scattering via a First-Passage Transfer Operator
C. Zeller, R. Cordery
We compute the reflectance R and transmittance T of a plane-parallel slab of optical thickness tau for Henyey-Greenstein (HG) scattering with asymmetry parameter g, single-scatteri…
First-Return Statistics in Henyey-Greenstein Scattering: Colored Motzkin Polynomials and the Cauchy Kernel
C Zeller, R Cordery
We study first-return statistics for photons undergoing three-dimensional Henyey-Greenstein scattering in a semi-infinite medium. In previous work, we showed that one-dimensional f…