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Transverse effects in a parametric downconversion process in three dimensions

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Abstract

A theoretical analysis of a traveling-wave difference-frequency-generation problem in three-dimensional space was performed. We found that, under a suitable hypothesis of low conversion efficiency in anisotropic nonlinear crystals, the nonlinear interaction gives a diffraction-free propagation condition for particular J0 Bessel beams and modulation instability phenomena for other J0 Bessel beams.

© 2000 Optical Society of America

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