Optical: systems and elements – Lens
Reexamination Certificate
2006-08-16
2009-08-11
Sugarman, Scott J (Department: 2873)
Optical: systems and elements
Lens
Reexamination Certificate
active
07573643
ABSTRACT:
A method of designing a transmissive optical element for converting a profile of a light beam from a predetermined input profile to a predetermined output profile is disclosed. The method comprises: calculating a stationary function of a predetermined cost functional selected such that the stationary function satisfies a mapping condition for mapping the predetermined input profile into the predetermined output profile, thereby providing a mapping function. The method further comprises utilizing the mapping function for calculating surface properties of at least a first surface and a second surface of the transmissive optical element.
REFERENCES:
patent: 5067067 (1991-11-01), Estelle et al.
patent: 6256098 (2001-07-01), Rubinstein et al.
patent: 6273596 (2001-08-01), Parkyn, Jr.
patent: 6909854 (2005-06-01), Kleiner et al.
patent: 0940702 (1999-09-01), None
patent: 11-316338 (1999-11-01), None
patent: WO 01/92948 (2001-12-01), None
patent: WO 02/086592 (2002-10-01), None
patent: WO 2008/020440 (2008-02-01), None
Angenent et al. “Minimizing Flows for the Monge-Kantorovich Problem”, SIAM Journal on Mathematical Analysis, 35(1): 61-97, 2003.
Brenier “Polar Factorization and Monotone Rearrangement of Vector-Valued Functions”, Communications on Pure and Applied Mathematics, 44(4): 375-417, 1991.
Davidson et al. “Optical Coordinate Transformations”, Applied Optics, 31(8): 1067-1073, 1992.
Glimm et al. “Optical Design of Two-Reflector Systems, the Monge-Kantorovich Mass Transfer Problem and Fermat's Principle”, Indiana University Mathematics Journal, 53(5): 1255-1277, 2004.
Lee et al. “Phase Reconstruction by the Weighted Least Action Principle”, Journal of Optics A: Pure and Applied Optics, 8: 279-289, 2006.
Rubinstein et al. “A Variational Principle in Optics”, Journal of the Optical Society of America A, 21(11): 2164-2172, 2004.
Rubinstein et al. “Reconstruction of Optical Surfaces From Ray Data”, Optical Review, 8(4): 281-283, 2001.
Rubinstein et al. “A Weighted Least Action Principle for Dispersive Waves”, Annals of Physics, 316(2): 271-284, Apr. 2005.
International Search Report Dated Apr. 10, 2008 From the International Searching Authority Re.: Application No. PCT/IL2007/001018.
Official Action Dated Sep. 26, 2008 From the US Patent Office Re.: U.S. Appl. No. 11/504,705.
Written Opinion Dated Apr. 10, 2008 From the International Searching Authority Re.: Application No. PCT/IL2007/001018.
Rubinstein Jacob
Wolansky Gershon
Sugarman Scott J
Technion Research & Development Foundation Ltd.
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