Abstract

A method for the calculation of the propagation of fields within a two-dimensional volume hologram is presented based on the Born series. This series solution has a simple physical interpretation in terms of multiple scattering. By appropriately rearranging terms of the Born series, we represent the effect of the hologram in the form of a scattering kernel. Scattered fields are obtained as an integral over the product of the scattering kernel with the input field. A differential equation is found for the kernel so that in some cases a closed-form solution is obtainable. The solution presented here is applicable to waves that satisfy the geometric-optics approximation and are nearly Bragg matched.

© 1991 Optical Society of America

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