Abstract
Abstract A numerical study is presented of the effective gain in degenerate two-wave mixing, for a reflection geometry in a photorefractive crystal. Apart from the so-called ‘shooting method’ we employ a simple explicit method of ‘finite differences’ to obtain numerical solutions of the nonlinear coupled-wave equations. A comparison between the two indicates that the computed results from the finite differences method are still in reasonable agreement with those obtained from the shooting method. At the same time the finite differences method is more straightforward and usually found to be faster than the shooting method for a small number of discrete points. The dependence of the effective gain on various parameters is shown at the saturation as well as non-saturation (i.e. below saturation) stage of the refractive-index modulation. A significant difference in gain is found to exist between these two regimes of modulation. Numerical results are compared and presented as graphs.
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