Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays: Reply

Psang Dain Lin; Chung Yu Tsai

doi:10.1364/JOSAA.29.001358

Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays: Reply

Psang Dain Lin, Chung Yu Tsai

Department of Mechanical Engineering

Research output: Contribution to journal › Review article › peer-review

6 Citations (Scopus)

Abstract

We reply to the comments on our paper previous paper. While the results obtained are the same as ours, we hold that, by using homogeneous coordinate notation, our method enables first-order and second-order derivatives of non-axially symmetrical systems to be computed numerically (such as [J. Opt. Soc. Am. A 28, 747 (2011)]), which are necessary for automatic optical design [Appl. Opt. 2, 1209 (1963)].

Original language	English
Pages (from-to)	1358
Number of pages	1
Journal	Journal of the Optical Society of America A: Optics and Image Science, and Vision
Volume	29
Issue number	7
DOIs	https://doi.org/10.1364/JOSAA.29.001358
Publication status	Published - 2012 Jul 1

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Computer Vision and Pattern Recognition

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10.1364/JOSAA.29.001358

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N2 - We reply to the comments on our paper previous paper. While the results obtained are the same as ours, we hold that, by using homogeneous coordinate notation, our method enables first-order and second-order derivatives of non-axially symmetrical systems to be computed numerically (such as [J. Opt. Soc. Am. A 28, 747 (2011)]), which are necessary for automatic optical design [Appl. Opt. 2, 1209 (1963)].

AB - We reply to the comments on our paper previous paper. While the results obtained are the same as ours, we hold that, by using homogeneous coordinate notation, our method enables first-order and second-order derivatives of non-axially symmetrical systems to be computed numerically (such as [J. Opt. Soc. Am. A 28, 747 (2011)]), which are necessary for automatic optical design [Appl. Opt. 2, 1209 (1963)].

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Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays: Reply

Abstract

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