Gradient matrix of optical path length for evaluating the effects of design variable changes in a prism

C. C. Hsueh, Psang-Dain Lin

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The effects of variable changes on the optical path length (OPL) of optical elements such as a prism are generally evaluated by utilizing a ray tracing approach to determine the OPL before and after the variable change, respectively, and then applying a finite difference (FD) method to estimate the OPL gradient with respect to each individual variable. By contrast, this study constructs the gradient matrix of OPL of a prism which permits the effects of multiple variable changes to be determined in a single pass. The developed approach not only resolves the error inherent in the FD method as a result of the denominator being far smaller than the numerator, but also avoids the requirement for multiple ray tracing operations and therefore yields a substantial improvement in the computational efficiency. The validity of the proposed approach is demonstrated utilizing a Pechan prism for illustration purposes.

Original languageEnglish
Pages (from-to)471-479
Number of pages9
JournalApplied Physics B: Lasers and Optics
Volume98
Issue number2-3
DOIs
Publication statusPublished - 2010 Feb 1

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optical paths
prisms
gradients
matrices
ray tracing
requirements
estimates

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)

Cite this

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Gradient matrix of optical path length for evaluating the effects of design variable changes in a prism. / Hsueh, C. C.; Lin, Psang-Dain.

In: Applied Physics B: Lasers and Optics, Vol. 98, No. 2-3, 01.02.2010, p. 471-479.

Research output: Contribution to journalArticle

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