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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

  • Editor: Franco Gori
  • Vol. 31, Iss. 9 — Sep. 1, 2014
  • pp: 2021–2029

Transformational volume holography

Hanhong Gao and George Barbastathis  »View Author Affiliations


JOSA A, Vol. 31, Issue 9, pp. 2021-2029 (2014)
http://dx.doi.org/10.1364/JOSAA.31.002021


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Abstract

We analyze the bulk elastic transformation of volume holograms as a general approach for three-dimensional pupil engineering. The physical relationship between transformation and the resulting point spread function is discussed by deriving the corresponding analytical expressions. For affine transformations, an analytical solution is directly possible. However, for nonaffine transformations, the analytical solution is not straightforward and we must turn to quasi-analytical solutions using the approximation of the stationary phase. Transformational volume holography offers richer design flexibility and real-time adjustment capabilities for imaging systems.

© 2014 Optical Society of America

OCIS Codes
(050.7330) Diffraction and gratings : Volume gratings
(090.2890) Holography : Holographic optical elements
(350.6980) Other areas of optics : Transforms

ToC Category:
Holography

History
Original Manuscript: May 22, 2014
Manuscript Accepted: July 11, 2014
Published: August 20, 2014

Citation
Hanhong Gao and George Barbastathis, "Transformational volume holography," J. Opt. Soc. Am. A 31, 2021-2029 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-9-2021


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