Modeling volume holograms using Berreman 4x4 method

Erica N. Bramley; Philip J. Bos

doi:10.1117/12.429470

4 June 2001 Modeling volume holograms using Berreman 4x4 method

Erica N. Bramley, Philip J. Bos

Proceedings Volume 4296, Practical Holography XV and Holographic Materials VII; (2001) https://doi.org/10.1117/12.429470
Event: Photonics West 2001 - Electronic Imaging, 2001, San Jose, CA, United States

Abstract

Berreman's 4 by 4 matrix method, which calculates light propagation through a stack of anisotropic thin films, is used to calculate the reflection of electromagnetic waves from a volume hologram. This matrix method is compared with the coupled wave analysis of unslanted and slanted reflection volume holograms and good general agreement is obtained. The Berreman method allows for an arbitrary dielectric profile along the thickness of the grating. This allows gratings to be evaluated with square, sinusoidal, or irregular morphologies. The model is applied to the specific case of chirped photopolymer gratings. The Berreman method also allows for uniaxial layers, which permits the investigation of birefringence. Measurements show essentially no birefringence in DuPont photopolymer holograms.

Citation Download Citation

Erica N. Bramley and Philip J. Bos "Modeling volume holograms using Berreman 4x4 method", Proc. SPIE 4296, Practical Holography XV and Holographic Materials VII, (4 June 2001); https://doi.org/10.1117/12.429470

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