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Published July 1992 | public
Journal Article Open

Control of volume holograms

Abstract

The mismatch in the number of degrees of freedom supported by volume holograms and the boundary fields that control them limits the dynamic range of recorded holograms. For holograms controlled by using fractal sampling grids, the maximum dynamic range falls inversely with the minimum number of exposures needed to record the hologram, the rank of the hologram. In adaptive holography, feedback between coupled holograms prevents the dynamic range from decreasing faster than the fundamental limit. If the control problem is overcome, the maximum dynamic range that a hologram can support falls inversely with the square root of the rank. In principle, holograms in which the dynamic range falls inversely with the square root of the rank can be recorded by using cross-spectrally coherent polychromatic pulses.

Additional Information

© 1992 Optical Society of America Received May 9, 1991; revised manuscript received February 14, 1992; accepted February 25, 1992 The authors gratefully acknowledge the experimental assistance of Ken Hsu and discussions with John Hong, Claire Gu, Scott Hudson, Hsin-Yu Li, and Yong Qiao. At the California Institute of Technology this work was supported by the U.S. Air Force Office of Scientific Research and the Defense Advanced Research Projects Agency. David Brady acknowledges the support of the David and Lucile Packard Foundation.

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August 22, 2023
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October 16, 2023