A Generic Surface Sampler for Monte Carlo Simulations

TL;DR

This paper introduces a versatile Monte Carlo surface sampling algorithm that uniformly generates points on arbitrary surfaces, demonstrated within the Geant4 toolkit, enhancing simulation flexibility and efficiency.

Contribution

The paper presents a general surface sampling algorithm requiring only intersection data, applicable to any surface in Monte Carlo simulations, with implementation details and practical demonstrations.

Findings

Efficient uniform sampling on arbitrary surfaces.

Successful integration with Geant4 toolkit.

Discussion of implementation options and applications.

Abstract

We present an implementation of a Monte Carlo algorithm that generates points randomly and uniformly on a set of arbitrary surfaces. The algorithm is completely general and only requires the geometry modeling software to provide the intersection points of an arbitrary line with the surface being sampled. We demonstrate the algorithm using the Geant4 Monte Carlo simulation toolkit. The efficiency of the sampling algorithm is discussed, along with various options in the implementation and example applications.