T. Rozzi et L. Zappelli, MODAL-ANALYSIS OF NONLINEAR PROPAGATION IN DIELECTRIC SLAB WAVE-GUIDE, Journal of lightwave technology, 14(2), 1996, pp. 229-235
In this paper we present a study of nonlinear guided propagation based
on the development of the actual electromagnetic field in terms of th
e modes of a linear dielectric guide, This approach permits in princip
le to consider propagation over finite lengths of waveguide of general
nonuniform nonlinearity, with arbitrary excitation at a finite locati
on and to retain the second derivative term that is neglected in the u
sual Schrodinger equation approximation to the wave equation.