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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 7 — Mar. 1, 1998
  • pp: 1249–1255

Born approximation for the nonparaxial scalar treatment of thick phase gratings

Wolfgang Singer and Hans Tiziani  »View Author Affiliations


Applied Optics, Vol. 37, Issue 7, pp. 1249-1255 (1998)
http://dx.doi.org/10.1364/AO.37.001249


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Abstract

The conventional design of phase gratings or kinoforms with a paraxial transmission function is restricted to the paraxial domain and thin elements. Therefore, the design and analysis of thick phase-relief structures require a nonparaxial theory, as given by the Born approximation. The Born approximation is derived as an extension of the scalar thin-element theory, which is applicable for thick elements with large propagation angles. As an example, general prism gratings on curved surfaces are treated.

© 1998 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(290.0290) Scattering : Scattering

History
Original Manuscript: May 5, 1997
Revised Manuscript: August 21, 1997
Published: March 1, 1998

Citation
Wolfgang Singer and Hans Tiziani, "Born approximation for the nonparaxial scalar treatment of thick phase gratings," Appl. Opt. 37, 1249-1255 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-7-1249

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