Closed-form sag solutions for Cartesian oval surfaces

Chun Che Hsueh, Tamer Elazhary, Masatsugu Nakano, Jose M Sasian

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper presents a closed-form solution to the sag of the Cartesian oval and an alternate iterative method for obtaining the sag. The emphasis is in providing a methodology for determining the sag and derivatives of a Cartesian surface for optical design, ray-tracing purposes. We verify our results by comparison of our solutions and by real ray tracing.

Original languageEnglish (US)
Pages (from-to)168-175
Number of pages8
JournalJournal of Optics (India)
Volume40
Issue number4
DOIs
StatePublished - Dec 2011

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ray tracing
methodology

Keywords

  • Aspheric surfaces
  • Cartesian oval
  • Optical design
  • Ray tracing

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Closed-form sag solutions for Cartesian oval surfaces. / Hsueh, Chun Che; Elazhary, Tamer; Nakano, Masatsugu; Sasian, Jose M.

In: Journal of Optics (India), Vol. 40, No. 4, 12.2011, p. 168-175.

Research output: Contribution to journalArticle

Hsueh, Chun Che ; Elazhary, Tamer ; Nakano, Masatsugu ; Sasian, Jose M. / Closed-form sag solutions for Cartesian oval surfaces. In: Journal of Optics (India). 2011 ; Vol. 40, No. 4. pp. 168-175.
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