Perturbative approach to optical microdisks with a local boundary deformation

摘要

A perturbation theory for the calculation of optical modes in circular microdisks with a small local boundaryndeformation of arbitrary shape is introduced. Two examples are studied in detail: a small notch and a localizedncorrugation at the boundary. In the generic situation where the first moment of the deformation function doesnnot vanish, very good agreement to the full numerical simulations of Maxwell’s equations is found in terms ofnfrequencies, decay rates, and light-emission directionality.