A skew ray tracing approach for the error analysis of optical elements with spherical boundary surfaces

Te Tan Liao, Chun Ta Chen

研究成果: 雜誌貢獻文章

3 引文 斯高帕斯(Scopus)

摘要

This study applies a skew ray tracing approach based on a 44 homogeneous coordinate transformation matrix and Snell's law to analyze the errors of a ray's light path as it passes through a series of optical elements with spherical boundary surfaces. The proposed error analysis methodology considers two principal sources of light path error, namely: (1) the translational errors Xi, Yi and Zi and the rotational errors [image omitted], [image omitted] and [image omitted], which determine the deviation of the light path at each boundary surface, and (2) the differential changes induced in the incident point position and unit directional vector of the refracted/reflected ray as a result of differential changes in the position and unit directional vector of the light source. The validity of the proposed methodology is verified by analyzing the effects of optical errors in a solid glass cat's eye.

原文英語
頁(從 - 到)1981-2002
頁數22
期刊Journal of Modern Optics
55
發行號12
DOIs
出版狀態已發佈 - 2008 七月 1

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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