Frequency conversion and field pattern rotation in WGM resonator with transient inclusion

Abstract

An investigation of the transformation of whispering gallery modes (WGM) in circular dielectric resonators due to non-uniform temporal changes of the permittivity is presented. An analytical solution is obtained for the case of an instantaneous refractive index change within a circular inclusion in the resonator. Analytic-numerical analysis of the obtained solution shows conservation of the spatial field distribution and a frequency shift. The possibility of field pattern rotation, dependent on the size and the position of the inclusion, is discussed.

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Modeling of transient dynamics in two-dimensional circular microresonators using the pulsed complex source point beam concept

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