Abstract

A theoretical model is presented to deal with optical frequency conversion in a mixed nonlinear crystal with a small linear variation in composition ratio. Using the quasi-geometrical optics method, what we believe to be new diffraction-free coupling equations are developed to describe sum and difference frequency generations. With these new frequencies, we find that an optimal crystal length exists like that in the plane-wave model. Furthermore, the optimization of generated powers with absorption, transverse index modulation, and walk-off effect are studied in detail. According to different efficiency reductions, the tolerance and acceptance of composition ratios along and vertical to the beam propagating direction are presented. Intended gradual index crystals are also discussed for their possible applications in the frequency conversion of wideband lasers and in generating pulse compressed second harmonic ultrashort pulses.

© 2007 Optical Society of America

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