Analytic solution to field distribution in one-dimensional inhomogeneous media

Abstract

A new general expression of a solution to Maxwell׳s equations derived recently has been applied to a 1-D inhomogeneous medium. It is shown that it solves any inhomogeneous refractive index profile. Its main advantage is that it does not require integration of either the differential wave equation or the refractive index profile, as it is the case with other methods. The solution is expressed in a closed form. The obtained numerical results compare favorably with both the slow-varying envelope method as well as with the exact numerical method.