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Applied Optics

Applied Optics


  • Vol. 38, Iss. 29 — Oct. 10, 1999
  • pp: 6152–6158

Analytical and numerical comparison of encoding methods for computer-generated diffractive optical elements

Carl Paterson and Robin W. Smith  »View Author Affiliations

Applied Optics, Vol. 38, Issue 29, pp. 6152-6158 (1999)

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We present a new, to our knowledge, analysis of the performances of common encoding schemes that are used to design computer-generated diffractive optical elements. A statistical analysis of the fringe width and the positional errors, which are introduced by the encoding process, is used to calculate their effects on the diffraction efficiency and the noise. The analysis is applied to interferogram-type encoding methods that are most suited to analytically designed elements, in particular, the polygon-fringe-tracing and the bitmap, or mosaic, methods. Predictions are verified by use of both numerical simulation and existing empirical results. The analysis is used to compare the relative merits of the different encoding schemes quantitatively in terms of optical performance and computational efficiency criteria.

© 1999 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(090.1760) Holography : Computer holography
(220.3740) Optical design and fabrication : Lithography

Original Manuscript: February 25, 1999
Revised Manuscript: June 24, 1999
Published: October 10, 1999

Carl Paterson and Robin W. Smith, "Analytical and numerical comparison of encoding methods for computer-generated diffractive optical elements," Appl. Opt. 38, 6152-6158 (1999)

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