Green's function expansion for multiple coupled optical resonators with finite retardation using quasinormal modes

• URL: http://arxiv.org/abs/2510.12511v1
• Date: Tue, 14 Oct 2025 13:41:24 GMT
• Title: Green's function expansion for multiple coupled optical resonators with finite retardation using quasinormal modes
• Authors: Robert Fuchs, Juanjuan Ren, Stephen Hughes, Marten Richter,
• Abstract summary: The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices.<n>We present a numerically efficient framework for calculating the scattered electromagnetic Green's function of a multi-cavity system.
• Score: 0.9132995121937669
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for calculating the scattered electromagnetic Green's function of a multi-cavity system with spatially separated open cavities (with arbitrary shape, dispersion and loss) and finite retardation times. The framework is based on a Dyson scattering equation that enables the construction of the Green's function from the quasinormal modes of the individual resonators within a few-mode approximation and a finite number of iteration steps without requiring nested integrals. The approach shows excellent agreement with the full numerical Green's function for the example of two coupled dipoles located in the gaps of two metal dimers serving as quasinormal mode cavities, and is easily extended to arbitrarily large separations and multiple cavities.

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