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

Abstract

This paper presents a numerical (Davidenko's approach) technique and an analytical (a perturbation approach) method for finding the complex roots of the dispersion equation in a lossy nonlinear waveguide. Both methods are used to compute the dispersion equation for TE waves guided by a dielectric film bounded on each side with complex nonlinear dielectric media. Davidenko's technique has been found to be a good alternative approach to old techniques such as the Muller and Newton methods as these techniques fail to give accurate complex roots of many complex waveguides. The perturbation method gives similar results to Davidenko's result. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 22: 273–278, 1999.