Error analysis of ray's light path for axis-symmetrical optical system by using skew ray tracing

Te Tan Liao, Chun-Ta Chen, Chieh Kung, Psang Dain Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This study applies a skew ray tracing approach based on a 4×4 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 for axis-symmetrical optical system. The proposed error analysis methodology considers two principal sources of light path error, namely: (1) the translational errors Δxi, Δyi and Δzi and the rotational errors Δωix, Δωiy and Δωiz, 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 Petzval lens.

Original languageEnglish
Title of host publicationInnovation for Applied Science and Technology
Pages2741-2745
Number of pages5
DOIs
Publication statusPublished - 2013 Feb 20
Event2nd International Conference on Engineering and Technology Innovation 2012, ICETI 2012 - Kaohsiung, Taiwan
Duration: 2012 Nov 22012 Nov 6

Publication series

NameApplied Mechanics and Materials
Volume284-287
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Other

Other2nd International Conference on Engineering and Technology Innovation 2012, ICETI 2012
CountryTaiwan
CityKaohsiung
Period12/11/212/11/6

Keywords

  • Error analysis
  • Homogeneous coordinate transformation matrix
  • Skew ray tracing

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Liao, T. T., Chen, C-T., Kung, C., & Lin, P. D. (2013). Error analysis of ray's light path for axis-symmetrical optical system by using skew ray tracing. In Innovation for Applied Science and Technology (pp. 2741-2745). (Applied Mechanics and Materials; Vol. 284-287). https://doi.org/10.4028/www.scientific.net/AMM.284-287.2741