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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. 27, Iss. 2 — Feb. 1, 2010
  • pp: 218–237

Derivation of the refraction equations for higher-order aberrations of local wavefronts at oblique incidence

G. Esser, W. Becken, W. Müller, P. Baumbach, J. Arasa, and D. Uttenweiler  »View Author Affiliations


JOSA A, Vol. 27, Issue 2, pp. 218-237 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000218


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Abstract

From the literature the calculation of power and astigmatism of a local wavefront after refraction at a given surface is known from the vergence and Coddington equations. For higher-order aberrations (HOAs) equivalent analytical equations do not exist. Since HOAs play an increasingly important role in many fields of optics, e.g., ophthalmic optics, it is the purpose of this study to extend the “generalized Coddington equation” to the case of HOA (e.g., coma and spherical aberration). This is done by local power series expansions. In summary, with the results presented here, it is now possible to calculate analytically the local HOA of an outgoing wavefront directly from the aberrations of the incoming wavefront and the refractive surface.

© 2010 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(080.2720) Geometric optics : Mathematical methods (general)
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices
(080.1005) Geometric optics : Aberration expansions
(080.1753) Geometric optics : Computation methods
(080.7343) Geometric optics : Wave dressing of rays

History
Original Manuscript: June 30, 2009
Revised Manuscript: October 30, 2009
Manuscript Accepted: November 18, 2009
Published: January 20, 2010

Virtual Issues
Vol. 5, Iss. 4 Virtual Journal for Biomedical Optics

Citation
G. Esser, W. Becken, W. Müller, P. Baumbach, J. Arasa, and D. Uttenweiler, "Derivation of the refraction equations for higher-order aberrations of local wavefronts at oblique incidence," J. Opt. Soc. Am. A 27, 218-237 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-2-218

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