Abstract

It is proposed that the direct calculation of the dispersion for a waveguide using the effective power-dependent permittivity is a rigorous way to determine its nonlinear Kerr coefficient. The tensor permittivity accounts fully for the vectorial nature of the electric field. The calculated Kerr coefficients for the lowest transverse-magnetic modes of a nonlinear slab and wire are compared with the results of several formulas existing in the literature. The proposed approach can conveniently be implemented using standard mode solvers.

© 2014 Optical Society of America

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