Double Zernike polynomial and its application in optical alignment

Ming Sen Tsao, Chao Wen Liang

研究成果: 書貢獻/報告類型會議論文篇章同行評審

2 引文 斯高帕斯(Scopus)

摘要

Most of the practical optical systems have circular shape lens pupil and rectangular shape image field. This paper proposes a four dimensional polynomial to describe the full-field wavefront with orthogonal polynomials set in both circular pupil and rectangular field. The basic functions of both the pupil wavefront and the field wavefront are Zernike circle polynomials, multiplying each other to a four dimensional double Zernike polynomial (DZP) function. The double Zernike polynomial coefficients of the full-field wavefront represent the global optical aberration of the image system. The misalignment perturbation changes the corresponding least squares fitted DZP coefficients. The changed DZP coefficients shows both linear and nonlinear response to the misalignment status when the misalignment is large. The Tri-Mirror Anastigmatic Telescope is used as one of the implemented example showing the changed DZP due to perturbation.

原文???core.languages.en_GB???
主出版物標題Optical System Alignment, Tolerancing, and Verification VII
發行者SPIE
ISBN(列印)9780819496942
DOIs
出版狀態已出版 - 2013
事件Optical System Alignment, Tolerancing, and Verification VII - San Diego, CA, United States
持續時間: 25 8月 201326 8月 2013

出版系列

名字Proceedings of SPIE - The International Society for Optical Engineering
8844
ISSN(列印)0277-786X
ISSN(電子)1996-756X

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???event.eventtypes.event.conference???Optical System Alignment, Tolerancing, and Verification VII
國家/地區United States
城市San Diego, CA
期間25/08/1326/08/13

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