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Reflection, refraction, and the Legendre transform |
JOSA A, Vol. 28, Issue 2, pp. 284-289 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000284
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Abstract
We construct in dimension two a mirror that reflects collimated rays into a set of directions that amplify the image and an optical lens so that collimated rays are refracted into a set of directions with a prescribed magnifi cation factor. The profiles of these optical surfaces are given by explicit formulas involving the Legendre transformation.
© 2011 Optical Society of America
OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(230.4040) Optical devices : Mirrors
(080.4225) Geometric optics : Nonspherical lens design
(080.4228) Geometric optics : Nonspherical mirror surfaces
ToC Category:
Geometric Optics
History
Original Manuscript: October 28, 2010
Manuscript Accepted: November 8, 2010
Published: February 1, 2011
Citation
Cristian E. Gutiérrez, "Reflection, refraction, and the Legendre transform," J. Opt. Soc. Am. A 28, 284-289 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-2-284
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