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 ∂∊_xx/∂E_z² = ∂∊_zz/∂E_x². 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.

© 1987 Optical Society of America

Exact dispersion relations for transverse magnetic polarized guided waves at a nonlinear interface

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