A new perturbation solution to the scalar wave equation

Abstract

In this study, a perturbation senes solution to the scalar wave equation has been presented, solving for the total fields propagating through an arbitrary refractive index dlstribution. Results are presented for the case of straight step-index Integrated optics waveguides for modal excitation. Equivalence of the presented solutions to those derived from the Green's function formalism of solving the scalar wave equation for some special cases has been shown.