The first integral of the complete set of Maxwell’s equations coupled through intrinsic nonlinearities in Kerr-type media has been found. The application of this result to wave propagation along a nonlinear optical waveguide leads to a general dispersion relation for nonlinear surface and guided waves of arbitrary polarization, i.e., hybrid TE–TM waves.
© 1989 Optical Society of America
Original Manuscript: December 11, 1987
Manuscript Accepted: February 24, 1989
Published: May 15, 1989
S. Vukovic and R. Dragila, "Hybrid TE–TM nonlinear guided waves," Opt. Lett. 14, 529-531 (1989)