Resonant phenomena have been extensively used in micro-and nanophotonics.
Mathematically, these phenomena originate in a discrete set of basis functions known as …

We present a biorthogonal approach for modeling the response of localized electromagnetic
resonators using quasinormal modes, which represent the natural, dissipative eigenmodes …

The Purcell factor quantifies the change of the radiative decay of a dipole in an
electromagnetic environment relative to free space. Designing this factor is at the heart of …

The resonant-state expansion (RSE), a rigorous perturbative method in electrodynamics, is
developed for three-dimensional open optical systems. Results are presented using the …

A quasimodal expansion method (QMEM) is developed to model and understand the
scattering properties of arbitrary shaped two-dimensional open structures. In contrast with …

We present a first-order perturbation theory to calculate the frequency shift and linewidth
change of photonic resonances in one-and two-dimensional periodic structures under …

A resonant-state expansion (RSE) for open optical systems with a general frequency
dispersion of the permittivity is presented. The RSE of dispersive systems converts Maxwell's …

The resonant-state expansion, a recently developed powerful method in electrodynamics, is
generalized here for open optical systems containing magnetic, chiral, or bi-anisotropic …

The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is
applied to two-dimensional open optical systems. The analytically solvable homogeneous …

We present a formulation for the pole expansion of the scattering matrix of open optical
resonators, in which the pole contributions are expressed solely in terms of the resonant …