Optimization Scattering Parameters of Optical Filters With Whispering Gallery Mode Resonators for Interleaver Building

The frequency dependences of the scattering matrices of known types of optical filters, built on coupled Dielectric Resonators (DR) with whispering gallery oscillations, located in one or more transmission lines taking into account several frequency bands, are considered. New electromagnetic models of notch and add/drop filters of various types, which consist of one and two optical resonators with degenerate types of natural oscillations, have been built. The found solutions are used for calculations and analysis of frequency dependences of filter scattering matrices in several excitation bands of the structure's of resonators. Examples of the calculation of frequency dependences of scattering matrices for the most common structures are given, which can be found as practical relationships when building interleavers. The frequency dispersion characteristics of several types of filters consisting of one and two dielectric resonators were calculated. The frequency dependences of the scattering matrices of two most common types of filters made on the basis of coupled DRs located in parallel between two optical transmission lines are investigated: laterally coupled add/drop filters; parallel-coupled add/drop filters; twisted double-channel SCISSORS. The possibilities of the proposed method are demonstrated on examples of calculation of the dispersion matrices of add/drop filters, taking into account several frequency bands, which can be used to build interleavers. The effect of oscillations of resonators neighboring in frequency on the characteristics of filters was analyzed. Constructed electrodynamics’ filter models are the basis for calculating and optimizing the characteristics of a wide class of elements of the newest ultra-high-speed optical communication systems.