Application and evaluation of quasi-Monte Carlo method in illumination optical systems

被引：0

作者：

Yoshida, Shuhei ^{[1
]}

Horiuchi, Shuma ^{[1
]}

Ushiyama, Zenta ^{[1
]}

Yamamoto, Manabu ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Appl Elect, Noda, Chiba 2788510, Japan

来源：

OPTICS EXPRESS | 2012年 / 20卷 / 09期

关键词：

D O I：

10.1364/OE.20.009692

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this article, we evaluate a quasi-Monte Carlo (QMC) method with various low-discrepancy sequences (LDS) in illumination optical systems which are adopted in some commercial products, and clarify the method's effectiveness quantitatively. We assumed the evaluated systems were an illumination optical system with a perfectly diffusing surface, and we compared them against the theoretical irradiance distribution. The evaluation results indicate that the QMC method delivers higher asymptotic convergence rate than the MC method does, and there is little difference between each LDS. In evaluation of simple optical systems that can be boiled down to low-dimensional numerical integration problems, the QMC method was found to be extremely effective. (c) 2012 Optical Society of America

引用

页数：6