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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 1 — Jan. 1, 1992
  • pp: 27–37

Upper bound on the diffraction efficiency of phase-only fanout elements

Ulrich Krackhardt, Joseph N. Mait, and Norbert Streibl  »View Author Affiliations


Applied Optics, Vol. 31, Issue 1, pp. 27-37 (1992)
http://dx.doi.org/10.1364/AO.31.000027


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Abstract

For one-dimensional binary-phase [(0, π) and (0, non-π)] fanout elements and for one-dimensional continuous or multilevel quantized phase fanout elements, an upper bound on diffraction efficiency is presented for fanouts ranging from 2 to 25. The upper bound is determined by optimizing with respect to the array phase the upper bound on diffraction efficiency for a coherent array. To determine the upper bound for binary-phase gratings, restrictions on the array phase are imposed. For fanouts that are >5, the upper bound on the diffraction efficiency for continuous phase fanouts ranges between 97 and 98%; for (0, π)-binary-phase fanouts the upper bound ranges between 83 and 84%; and for (0, non-π)-binary-phase, between 87 and 88%.

© 1992 Optical Society of America

History
Original Manuscript: January 28, 1991
Published: January 1, 1992

Citation
Ulrich Krackhardt, Joseph N. Mait, and Norbert Streibl, "Upper bound on the diffraction efficiency of phase-only fanout elements," Appl. Opt. 31, 27-37 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-1-27

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