We provide analytic results for fibres with non-Kerr-law nonlinearities and saturation, using an accurate and versatile approach — the generalized Gaussian analysis. These results can be useful in analysis and design of nonlinear devices using fibres with non-Kerr-law or saturable nonlinearity. In the case of nonlinear fibre tapers, for example, we show how optimum design parameters can be found for various forms of nonlinearit
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