Dihedral representations and statistical geometric optics. I. Spherocylindrical lenses
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 (Dn) are interpreted as classical linear operators of geometrical optics. It is shown that the 2-dim irreducible representation of D4 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 [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:
Geometric Optics
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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