A Hybrid (Monte-Carlo/Deterministic) Approach for Multi-Dimensional Radiation Transport

TL;DR

This paper introduces a hybrid Monte Carlo and deterministic method for multi-dimensional radiation transport, significantly reducing variance and computational costs in complex atmospheric scenes with scattering and absorption.

Contribution

It presents a novel hybrid approach combining Monte Carlo and deterministic techniques, enabling efficient simulation of radiation transport in complex 2D atmospheric environments.

Findings

Variance reduction achieved in scenes with low atmospheric interactions

Significant computational cost savings demonstrated

Effective combination of deterministic approximation and photon-redirection scheme

Abstract

A novel hybrid Monte Carlo transport scheme is demonstrated in a scene with solar illumination, scattering and absorbing 2D atmosphere, a textured reflecting mountain, and a small detector located in the sky (mounted on a satellite or a airplane). It uses a deterministic approximation of an adjoint transport solution to reduce variance, computed quickly by ignoring atmospheric interactions. This allows significant variance and computational cost reductions when the atmospheric scattering and absorption coefficient are small. When combined with an atmospheric photon-redirection scheme, significant variance reduction (equivalently acceleration) is achieved in the presence of atmospheric interactions.