Cascaded second order nonlinear processes offer a new range of opportunities. Indeed we have shown that under near phase matching conditions, the associated nonlinear phase distortion to the fundamental wave depletion follows a linear dependence with the optical field strength and not the optical intensity. Equivalently in such a regime cascaded self focusing effects are inherently equivalent to a saturated intensity dependent phase distortion, hence multi-dimensional soliton like second order nonlinear optical media

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