Coupled-mode analysis of volume holograms in discretized domain

Yoonchan Jeong; Byoungho Lee

doi:10.1117/12.454030

23 January 2002 Coupled-mode analysis of volume holograms in discretized domain

Yoonchan Jeong, Byoungho Lee

Proceedings Volume 4459, Photorefractive Fiber and Crystal Devices: Materials, Optical Properties, and Applications VII, and Optical Data Storage; (2002) https://doi.org/10.1117/12.454030
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

The Born approximation with paraxial assumption has often been utilized for a volume hologram analysis, which is a simple and useful method but has limits in the consideration of incident-wave depletion and multiple diffractions of both longitudinal and angular directions. In recent years, the random-phase code multiplexing has received considerable attention because it gives a sharp selectivity compared to other methods, such as angular multiplexing, wavelength multiplexing, etc. In this case, the image of the reference beam is randomly patterned that its spatial frequency bandwidth is widely spread. As the grain size of the random pattern decreases, its spatial frequency of the reference beam becomes more spread. As a result, the paraxial approximation may be insufficient with this case. In addition, the effect of multiple diffractions between different angular spectra can also be magnified because the structures of multiplexed volume holograms are more complicated than others. Here we analyze the volume holographic gratings based on the coupled-mode theory in discrete Fourier domain without assuming the paraxial approximation, in which the continuous spatial spectra of lights are discretized by discrete Fourier transform and the couplings among them are simultaneously considered into account. We propose two methodologies for the coupled-mode analysis of volume hologram: one is by discretization approach and the other by a first-order approximation. These approaches can be extended to any kind of volume hologram analysis, such as for the Fourier or Fresnel plane hologram that includes lenses or not. The selectivity and crosstalk of random-phase-multiplexed volume holograms are discussed by the two methods.

Citation Download Citation

Yoonchan Jeong and Byoungho Lee "Coupled-mode analysis of volume holograms in discretized domain", Proc. SPIE 4459, Photorefractive Fiber and Crystal Devices: Materials, Optical Properties, and Applications VII, and Optical Data Storage, (23 January 2002); https://doi.org/10.1117/12.454030

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KEYWORDS

Holograms

Volume holography

Multiplexing

Diffraction

Crystals

Gaussian beams

Speckle pattern

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