1. [Publications](/publications)
2. High-Precision Benchmarks for the Stochastic Rod
 
 # High-Precision Benchmarks for the Stochastic Rod

  ![Publication image](/sites/default/files/styles/wide/public/default_images/default.jpeg?itok=qUFsuJCP "Publication image")

 We demonstrate a method to calculate high-precision benchmarks for the reflectance and transmittance of a finite rod with a stochastic cross section, assuming that the attenuation law has a known closed form and both the single-scattering albedo and scattering kernel are deterministic. We introduce new 10-digit values for an existing binary-Markov benchmark (including mean and variance), along with several new benchmarks defined for non-Markov binary mixtures and a continuous-fluctuation model featuring gamma stationary statistics. Furthermore, we reveal that our analysis of scattering in the stochastic rod enables a practical algorithm for identifying the parameters of an 𝑛-ary Markov mixture that most accurately approximates transport in a non-Markov system.



 ## Authors



[Eugene d'Eon](/person/eugene-d-eon)

Anil Prinja (University of New Mexico)

 

 

 ## Publication Date



Tuesday, January 21, 2025

 

 ## Published in



[Nuclear Science and Engineering](https://doi.org/10.1080/00295639.2024.2420539)

 

 ## Research Area



[Computer Graphics](/research-area/computer-graphics)