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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 6 — Jun. 1, 2011
  • pp: 1312–1321

Refracting the k-function: Stavroudis’s solution to the eikonal equation for multielement optical systems

John A. Hoffnagle and David L. Shealy  »View Author Affiliations


JOSA A, Vol. 28, Issue 6, pp. 1312-1321 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001312


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Abstract

The k-function of Stavroudis describes a solution of the eikonal equation in a region of constant refractive index. Given the k-function describing the optical field in one region of space, and given a prescribed refractive or reflective boundary, we construct the k-function for the refracted or reflected field. This procedure, which Stavroudis calls refracting the k-function, can be repeated any number of times, and therefore extends the usefulness of the k-function formalism to multielement optical systems. As examples, we present an analytic solution for the k-function, wavefronts, and caustics generated by a biconvex thick lens illuminated by a plane wave propaga ting parallel to the symmetry axis, and numerical results for off-axis plane-wave illumination of a two-mirror telescope.

© 2011 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

History
Original Manuscript: March 14, 2011
Manuscript Accepted: March 31, 2011
Published: May 31, 2011

Citation
John A. Hoffnagle and David L. Shealy, "Refracting the k-function: Stavroudis’s solution to the eikonal equation for multielement optical systems," J. Opt. Soc. Am. A 28, 1312-1321 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-6-1312

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