Two-dimensional transmission type volume holograms for incident plane waves of arbitrary amplitude distribution

Based on the differential equations of 1] a general solution in closed form is obtained for the amplitudes of the transmitted and diffracted beams for Bragg angle incidence in a lossless, transmission type volume hologram. Numerical solutions are plotted for Gaussian input beams. For the range of parameter values investigated it is shown that complete power transfer into the diffracted beam is not possible.