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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 2 — Jan. 10, 1994
  • pp: 162–174

Diffraction theory of Fresnel lenses encoded in low-resolution devices

E. Carcolé, J. Campos, and S. Bosch  »View Author Affiliations


Applied Optics, Vol. 33, Issue 2, pp. 162-174 (1994)
http://dx.doi.org/10.1364/AO.33.000162


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Abstract

A mathematical model that describes the behavior of low-resolution Fresnel lenses encoded in any low-resolution device (e.g., a spatial light modulator) is developed. The effects of low-resolution codification, such the appearance of new secondary lenses, are studied for a general case. General expressions for the phase of these lenses are developed, showing that each lens behaves as if it were encoded through all pixels of the low-resolution device. Simple expressions for the light distribution in the focal plane and its dependence on the encoded focal length are developed and commented on in detail. For a given codification device an optimum focal length is found for best lens performance. An optimization method for codification of a single lens with a short focal length is proposed.

© 1994 Optical Society of America

History
Original Manuscript: March 1, 1993
Published: January 10, 1994

Citation
E. Carcolé, J. Campos, and S. Bosch, "Diffraction theory of Fresnel lenses encoded in low-resolution devices," Appl. Opt. 33, 162-174 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-2-162

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