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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 17 — Jun. 10, 2006
  • pp: 4075–4083

Wavelength-dependent characteristics of modulo N λ 0 optical wavefront control

Mark T. Gruneisen, Raymond C. Dymale, and Matthew B. Garvin  »View Author Affiliations


Applied Optics, Vol. 45, Issue 17, pp. 4075-4083 (2006)
http://dx.doi.org/10.1364/AO.45.004075


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Abstract

A Fourier analysis treatment of the wavelength dependences associated with modulo λ r optical path control, treating the general case of a modulo λ r optical path difference function OPD (x, y) mod λ r in which the reset wavelength λ r , is allowed to be an integer multiple of a nominal wavelength λ 0 , λ r = N λ 0 , is presented. Equations are derived describing the wavelength-dependent characteristics of the diffraction efficiency and the wavefront errors associated with all diffracted orders. The results are applied to the cases of diffraction of a planar wavefront and compensation of large aberrations and show that over an extended spectral bandwidth the output field consists of multiple diffracted orders with a range of fractional wavefront errors that diminishes with increasing reset multiple N, but does not reach the diffraction limit associated with conventional optics.

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(090.1000) Holography : Aberration compensation
(090.1970) Holography : Diffractive optics

History
Original Manuscript: July 19, 2005
Manuscript Accepted: November 3, 2005

Citation
Mark T. Gruneisen, Raymond C. Dymale, and Matthew B. Garvin, "Wavelength-dependent characteristics of modulo Nλ0 optical wavefront control," Appl. Opt. 45, 4075-4083 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-17-4075

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