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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. 16, Iss. 5 — May. 1, 1999
  • pp: 1194–1201

Generalized conversion from the phase function to the blazed surface-relief profile of diffractive optical elements

Michael A. Golub  »View Author Affiliations


JOSA A, Vol. 16, Issue 5, pp. 1194-1201 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001194


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Abstract

The problem of the relation between the phase function and the thin microrelief profile of diffractive optical elements is considered in detail through the nonparaxial scalar diffraction theory for the case of a curved substrate surface and an astigmatic incident beam. Local-plane-wave expansions are used to calculate a coefficient of proportionality between microrelief height and phase jump as a function of microrelief orientation and of local slope angles of the incident and the output beams. Nonuniform transition heights between 2π-phase zones of the microrelief are calculated. Analytical and numerical data are presented for examples of high-numerical-aperture diffractive lenses on plane, spherical, or aspherical substrate surfaces.

© 1999 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1380) Diffraction and gratings : Binary optics
(090.0090) Holography : Holography
(090.1970) Holography : Diffractive optics
(100.0100) Image processing : Image processing
(220.0220) Optical design and fabrication : Optical design and fabrication

History
Original Manuscript: July 30, 1998
Revised Manuscript: December 7, 1998
Manuscript Accepted: January 4, 1999
Published: May 1, 1999

Citation
Michael A. Golub, "Generalized conversion from the phase function to the blazed surface-relief profile of diffractive optical elements," J. Opt. Soc. Am. A 16, 1194-1201 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-5-1194

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