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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

  • Vol. 21, Iss. 12 — Dec. 1, 2004
  • pp: 2353–2365

Iterative Fourier transform algorithm with regularization for the optimal design of diffractive optical elements

Hwi Kim, Byungchoon Yang, and Byoungho Lee  »View Author Affiliations


JOSA A, Vol. 21, Issue 12, pp. 2353-2365 (2004)
http://dx.doi.org/10.1364/JOSAA.21.002353


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Abstract

There is a trade-off between uniformity and diffraction efficiency in the design of diffractive optical elements. It is caused by the inherent ill-posedness of the design problem itself. For the optimal design, the optimum trade-off needs to be obtained. The trade-off between uniformity and diffraction efficiency in the design of diffractive optical elements is theoretically investigated based on the Tikhonov regularization theory. A novel scheme of an iterative Fourier transform algorithm with regularization to obtain the optimum trade-off is proposed.

© 2004 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(090.1970) Holography : Diffractive optics
(140.3300) Lasers and laser optics : Laser beam shaping

History
Original Manuscript: February 4, 2004
Revised Manuscript: June 11, 2004
Manuscript Accepted: June 11, 2004
Published: December 1, 2004

Citation
Hwi Kim, Byungchoon Yang, and Byoungho Lee, "Iterative Fourier transform algorithm with regularization for the optimal design of diffractive optical elements," J. Opt. Soc. Am. A 21, 2353-2365 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-12-2353

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