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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 1235–1239

Analogy between generalized Coddington equations and thin optical element approximation

Michael A. Golub  »View Author Affiliations

JOSA A, Vol. 26, Issue 5, pp. 1235-1239 (2009)

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Local wavefront curvature transformations at an arbitrarily shaped optical surface are commonly determined by generalized Coddington equations that are developed here via a local thin optical element approximation. Eikonal distributions of the incident and refracted beams are calculated and related by an eikonal transfer function of a local thin optical element located in close proximity to a given point at a tangent plane of an optical surface. Main coefficients and terms involved in the generalized Coddington equations are derived and explained as a local nonparaxial generalization for the customary paraxial wavefront transformations.

© 2009 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(080.0080) Geometric optics : Geometric optics
(080.1510) Geometric optics : Propagation methods
(110.2990) Imaging systems : Image formation theory
(220.2740) Optical design and fabrication : Geometric optical design

Original Manuscript: January 23, 2009
Manuscript Accepted: March 21, 2009
Published: April 21, 2009

Michael A. Golub, "Analogy between generalized Coddington equations and thin optical element approximation," J. Opt. Soc. Am. A 26, 1235-1239 (2009)

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