Monte Carlo Modeling of an Integrating Sphere Reflectometer

Published

July 1, 2003

Author(s)

A Prokhorov, Sergey Mekhontsev, Leonard Hanssen

Abstract

The Monte Carlo method has been applied to numerical modeling of an integrating sphere designed for hemispherical-directional reflectance factor measurements. It is shown that a conventional algorithm of inverse ray tracing used for estimation of characteristic of the radiation field at a given point, has unacceptably slow convergence for small source- to sphere-diameter ratios. A newly developed algorithm that substantially improves the convergence by calculation of direct source-induced irradiation for every point of diffuse reflection of rays tracedis described. The method developed is applied to an integrating sphere reflectometer for the visible and infrared (IR) spectral ranges. Parametric studies of hemispherical radiance distributions for radiation incident onto the samplecenter were performed. The deviations of measured sample reflectance from the actual one due to various factors were computed. The accuracy of the results, adequacy of the reflectance model, and other important aspects of thealgorithm implementation are discussed.

Citation

Applied Optics

Volume

42

Issue

No. 19

Pub Type

Journals

Keywords

integrating sphere, modeling, monte carlo, rajytrace, reflectometer

Citation

Prokhorov, A. , Mekhontsev, S. and Hanssen, L. (2003), Monte Carlo Modeling of an Integrating Sphere Reflectometer, Applied Optics (Accessed November 13, 2025)