Numerical and analytical solutions of dispersion equation in lossy nonlinear waveguiding system

This paper presents a numerical (Davidenko's approach) technique and nn ana lytical (a perturbation approach) method for finding the complex roots of t he dispersion equation in a lossy nonlinear waveguide. Both methods are use d to compute the dispersion equation Sor TE waves guided by a dielectric fi lm bounded on each side with complex nonlinear dielectric media. Davidenko' s technique has been found to be a good alternative approach to old techniq ues such as the Muller and Newton methods ns these techniques Sail to glue accurate complex roots of many complex waveguides. The perturbation method gives similar results to Davidenko's result. (C) 1999 John Wiley & Sons, In c.