Closed-form sag solutions for Cartesian oval surfaces

Chun Che Hsueh; Tamer Elazhary; Masatsugu Nakano; Jose Sasian

doi:10.1007/s12596-011-0050-0

Closed-form sag solutions for Cartesian oval surfaces

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

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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 language	English (US)
Pages (from-to)	168-175
Number of pages	8
Journal	Journal of Optics (India)
Volume	40
Issue number	4
DOIs	https://doi.org/10.1007/s12596-011-0050-0
State	Published - Dec 2011

Keywords

Aspheric surfaces
Cartesian oval
Optical design
Ray tracing

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1007/s12596-011-0050-0

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title = "Closed-form sag solutions for Cartesian oval surfaces",

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.",

keywords = "Aspheric surfaces, Cartesian oval, Optical design, Ray tracing",

author = "Hsueh, {Chun Che} and Tamer Elazhary and Masatsugu Nakano and Jose Sasian",

note = "Funding Information: Acknowledgements The first author especially thanks Professor Psang Dain Lin, Professor Jose Sasian, and the National Science Council (NSC) of Taiwan for the opportunity to do research at the College of Optical Sciences at the University of Arizona under NSC grant number NSC98-2917-I-006-108.",

year = "2011",

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doi = "10.1007/s12596-011-0050-0",

language = "English (US)",

volume = "40",

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T1 - Closed-form sag solutions for Cartesian oval surfaces

AU - Hsueh, Chun Che

AU - Elazhary, Tamer

AU - Nakano, Masatsugu

AU - Sasian, Jose

N1 - Funding Information: Acknowledgements The first author especially thanks Professor Psang Dain Lin, Professor Jose Sasian, and the National Science Council (NSC) of Taiwan for the opportunity to do research at the College of Optical Sciences at the University of Arizona under NSC grant number NSC98-2917-I-006-108.

PY - 2011/12

Y1 - 2011/12

N2 - 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.

AB - 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.

KW - Aspheric surfaces

KW - Cartesian oval

KW - Optical design

KW - Ray tracing

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JO - Journal of Optics (India)

JF - Journal of Optics (India)

IS - 4

ER -

Closed-form sag solutions for Cartesian oval surfaces

Abstract

Keywords

ASJC Scopus subject areas

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