title: Exact field decomposition for TM waves in nonlinear media.
abstract: We show that the electric field components E(x) and E(z) of a transverse magnetic (TM) wave propagating in a nonlinear medium can be formally decomposed through a conservation law, provided that partial differentialxx/ partial differentialE(z)(2) = partial differentialzz/ partial differentialE(x)(2). If this condition is satisfied, then the electromagnetic field distribution can be exactly obtained by quadrature. For the case of a guided nonlinear TM mode, our procedure can be employed to establish the eigenvalue equation directly.
authors.forename: R I
authors.initials: RI
authors.lastname: Joseph
authors.forename: D N
authors.initials: DN
authors.lastname: Christodoulides