4 papers
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…
Bridge Scaling in Conditioned Henyey-Greenstein Random Walks
Claude Zeller
We study fixed-length bridge paths -- half-space excursions that start and end at a planar boundary -- for three-dimensional random walks with Henyey-Greenstein scattering angles a…
Geometric Realism Without Angular Resolution Structural Classification of Multilayer Kubelka-Munk Theory within Radiative Transport
Claude Zeller
Kubelka-Munk (KM) theory provides a two-flux description of radiative transport in layered scattering and absorbing media. Despite its wide use in the coatings, paper, paint, and t…
First-return statistics in bounded radiative transport: A Motzkin polynomial framework
Claude Zeller, Robert Cordery
A photon entering a scattering medium executes a three-dimensional random walk determined by the Henyey-Greenstein phase function. The photon either reaches the boundary for a firs…