Computer-guided alignment III: Description of inter-element alignment effect in circular-pupil optical systems

Hanshin Lee, Gavin B. Dalton, Ian A.J. Tosh, Sug Whan Kim

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We present an analytic description of the inter-element alignment effect of misaligned optical systems with circular pupils. The description shows that decenter and tilt produce lateral displacement of the field and pupil coordinates, whilst a despace directly modifies the aberration coefficients by perturbing paraxial distances and scale factors of the two coordinates. This reveals that a misaligned surface not only changes its aberration characteristics, but also affects those of subsequent surfaces, which is the essence of the inter-element alignment effect. This description, combined with primary aberration theory, was applied to various misaligned systems to approximate their aberrations and alignment sensitivities given by ray-tracing. The results demonstrate the accuracy and robustness of this approach. We also discuss the potential usefulness of the description in estimating the axial separations between surfaces.

Original languageEnglish
Pages (from-to)10992-11006
Number of pages15
JournalOptics Express
Volume16
Issue number15
DOIs
Publication statusPublished - 2008 Jul 21

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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