Design of optical systems using derivatives of rays: Derivatives of variable vector of spherical boundary surfaces with respect to system variable vector

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A computational scheme based on differential geometry was proposed in a previous study [Appl. Opt. 52, 4151 (2013)] for determining the first- and second-order derivative matrices of a skew ray reflected/ refracted at a flat boundary surface. The present study extends this methodology to the case of a skew ray reflected/refracted at a spherical boundary surface. The validity of the proposed approach is demonstrated using two retro-reflectors for illustration purposes. The results show that the proposed method provides an effective means of determining the search direction required to minimize the merit function during the optimization stage of the optical system design process.

Original languageEnglish
Pages (from-to)7271-7287
Number of pages17
JournalApplied Optics
Volume52
Issue number30
DOIs
Publication statusPublished - 2013 Oct 20

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'Design of optical systems using derivatives of rays: Derivatives of variable vector of spherical boundary surfaces with respect to system variable vector'. Together they form a unique fingerprint.

  • Cite this