A SIMPLE NUMERICAL-ANALYSIS OF PLANAR OPTICAL WAVE-GUIDES USING WAVE IMPEDANCE TRANSFORMATION

A simple numerical approach for arbitrary profile planar optical waveg uides based on the wave impedance transformation is presented. The onl y mathematics involved in this approach is the wave impedance transfor mation formula, which has been widely used in the field of microwaves. Because of its simplicity, the method can be implemented into short b ut effective computer codes. The method is exact when the index profil es are of step-index shapes and is shown to be very accurate in compar ison with the exact analytical solutions when the refractive index is of graded-index profiles.