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Effective mode volumes and Purcell factors for leaky optical cavities

Effective mode volumes and Purcell factors for leaky optical cavities

We show that for optical cavities with any finite dissipation, the term cavity should be understood as a solution to the Helmholtz equation with outgoing wave boundary conditions. This choice of boundary condition renders the problem non-Hermitian, and we demonstrate that the common definition of an effective mode volume is …