Self-consistent coupled-wave theory for circular gratings on planar dielectric waveguides

A self-consistent coupled-wave theory for circular gratings on planar dielectric waveguides is presented. A brief description of cylindrical waves in a planar waveguide is given. The formulation of the coupled-wave theory is presented. Couplings between different cylindrical waves are discussed. It is found that (1) only cylindrical waves of the same order are coupled; (2) for zeroth-cylindrical waves, pure TE-TE (or TM-TM) wave-coupling occurs; (3) for higher order waves, there are couplings between TE- and TM-waves. >

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