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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: Stephen A. Burns
  • Vol. 22, Iss. 11 — Nov. 1, 2005
  • pp: 2483–2489

Dihedral representations and statistical geometric optics. I. Spherocylindrical lenses

Vasudevan Lakshminarayanan and Marlos Viana  »View Author Affiliations


JOSA A, Vol. 22, Issue 11, pp. 2483-2489 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002483


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Abstract

The linear 2-dim irreducible representations of the dihedral groups ( D n ) are interpreted as classical linear operators of geometrical optics. It is shown that the 2-dim irreducible representation of D 4 is simply the refractive group described by Campbell [Optom. Vision Sci. 74, 381 (1997) ]. The dihedral Fourier-inverse mechanism is introduced and shown to provide a systematic connection between the standard refractive data and their vector space representation, as proposed by Thibos et al. [Vision Sci. Appl. 2, 14 (1994) ].

© 2005 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.3870) General : Mathematics
(030.6600) Coherence and statistical optics : Statistical optics
(080.0080) Geometric optics : Geometric optics
(080.2720) Geometric optics : Mathematical methods (general)
(170.4460) Medical optics and biotechnology : Ophthalmic optics and devices

ToC Category:
Geometrical optics

History
Original Manuscript: September 22, 2004
Revised Manuscript: January 28, 2005
Manuscript Accepted: March 16, 2005
Published: November 1, 2005

Citation
Vasudevan Lakshminarayanan and Marlos Viana, "Dihedral representations and statistical geometric optics. I. Spherocylindrical lenses," J. Opt. Soc. Am. A 22, 2483-2489 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-11-2483


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