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

Psang-Dain Lin, Chung Yu Tsai

Research output: Contribution to journalReview article

6 Citations (Scopus)


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 languageEnglish
Number of pages1
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number7
Publication statusPublished - 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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