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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 30 — Oct. 20, 2013
  • pp: 7271–7287

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

Psang Dain Lin  »View Author Affiliations


Applied Optics, Vol. 52, Issue 30, pp. 7271-7287 (2013)
http://dx.doi.org/10.1364/AO.52.007271


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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.

© 2013 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(080.3620) Geometric optics : Lens system design
(080.1753) Geometric optics : Computation methods
(080.2468) Geometric optics : First-order optics

ToC Category:
Geometric Optics

History
Original Manuscript: August 13, 2013
Revised Manuscript: September 4, 2013
Manuscript Accepted: September 7, 2013
Published: October 16, 2013

Citation
Psang Dain Lin, "Design of optical systems using derivatives of rays: derivatives of variable vector of spherical boundary surfaces with respect to system variable vector," Appl. Opt. 52, 7271-7287 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-30-7271


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References

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