Ab initio theory of nonlinear effects in individual and coupled microdisk resonators

Abstract

Ab initio approach to description of nonlinear dynamics of individual and coupled microdisk whispering-gallerymode resonators is developed for the nonlinearities of Kerr type. Distinction between scattering resonances and eigenfrequencies, which is important for resonators with moderate quality factors is discussed. Properties of various parameters important for nonlinear dynamics, such as coupling to external radiation, linear inter-disk coupling parameter, nonlinear mode overlap coefficients are discussed from the point of view of the ab initio formulation.