DESIGN OF CORRUGATED WAVE-GUIDE FILTERS BY FOURIER-TRANSFORM TECHNIQUES

A new, approximate, corrugated waveguide filter design method is developed for thin film optical waveguides. The method determines both the corrugation period and depth, measured along the guide's surface, given a specification of the filter's reflection coefficient. The design technique is based on a combined effective index approach and Fourier transform, inverse-scattering theory for one-dimensional, dispersionless, dielectric media. Use of the general technique is illustrated y the design of two corrugated waveguide filters. The design results are compared with those obtained using the first Born approximation, nonlinear renormalization, and the exact Gel'fand-Levitan-Marchenko method for two component inverse-scattering systems.