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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 1 — Jan. 1, 2001
  • pp: 205–215

Dynamic holography for optical interconnections. II. Routing holograms with predictable location and intensity of each diffraction order

Kim L. Tan, Stephen T. Warr, Ilias G. Manolis, Timothy D. Wilkinson, Maura M. Redmond, William A. Crossland, Robert J. Mears, and Brian Robertson  »View Author Affiliations


JOSA A, Vol. 18, Issue 1, pp. 205-215 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000205


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Abstract

An analysis of dynamic phase-only holograms, described by fractional notation and recorded onto a pixelated spatial light modulator (SLM) in a reconfigurable optical beam-steering switch, is presented. The phase quantization and arrangement of the phase states and the SLM pixelation and dead-space effects are decoupled, expressed analytically, and simulated numerically. The phase analysis with a skip–rotate rule reveals the location and intensity of each diffraction order at the digital replay stage. The optical reconstruction of the holograms recorded onto SLM’s with rectangular pixel apertures entails sinc-squared scaling, which further reduces the intensity of each diffraction order. With these two factors taken into account, the highest values of the nonuniform first-order diffraction efficiencies are expected to be 33%, 66%, and 77% for two-, four-, and and eight-level one-dimensional holograms with a 90% linear pixel fill factor. The variation of the first-order diffraction efficiency and the relative replay intensities were verified to within 1 dB by performing the optical reconstruction of binary phase-only holograms recorded onto a ferroelectric liquid crystal on a silicon SLM.

© 2001 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(090.1760) Holography : Computer holography
(090.2890) Holography : Holographic optical elements
(100.5090) Image processing : Phase-only filters
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(230.6120) Optical devices : Spatial light modulators

History
Original Manuscript: October 19, 1999
Revised Manuscript: June 20, 2000
Manuscript Accepted: June 20, 2000
Published: January 1, 2001

Citation
Kim L. Tan, Stephen T. Warr, Ilias G. Manolis, Timothy D. Wilkinson, Maura M. Redmond, William A. Crossland, Robert J. Mears, and Brian Robertson, "Dynamic holography for optical interconnections. II. Routing holograms with predictable location and intensity of each diffraction order," J. Opt. Soc. Am. A 18, 205-215 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-1-205

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