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Guang-ming Dai and Virendra N. Mahajan
AMO Laser Vision Correction Group, 3400 Central Expressway, Santa Clara, California 95051, USA
The Aerospace Corporation, 2350 East El Sugundo Boulevard, El Segundo, California 90245, USA
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A general theoretical approach has been developed for the determination of orthonormal polynomials over any integrable domain, such as a hexagon. This approach is better than the classical Gram–Schmidt orthogonalization process because it is nonrecursvie and can be performed rapidly with matrix transformations. The determination of the orthonormal hexagonal polynomials is demonstrated as an example of the matrix approach.
© 2006 Optical Society of America
Virendra N. Mahajan and Guang-ming Dai Opt. Lett. 31(16) 2462-2464 (2006)
Guang-ming Dai and Virendra N. Mahajan Appl. Opt. 47(19) 3433-3445 (2008)
Cosmas Mafusire and Tjaart P. J. Krüger J. Opt. Soc. Am. A 35(6) 840-849 (2018)
Virendra N. Mahajan and Guang-ming Dai J. Opt. Soc. Am. A 24(9) 2994-3016 (2007)
José Antonio Díaz and Virendra N. Mahajan Appl. Opt. 52(6) 1136-1147 (2013)
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