Quantization of optical quasinormal modes for spatially separated cavity systems with finite retardation
arxiv(2024)
摘要
A multi-cavity quantization scheme is developed using quasinormal modes
(QNMs) of optical cavities embedded in a homogeneous background medium for
cases where retardation is significant in the inter-cavity coupling. Using
quantities that can be calculated in computational optics with numerical
Maxwell solvers, we extend previous QNM quantization schemes and define a
quantitative measure to determine if a separate quantization of QNM cavities is
justified or if a joint quantization of the system is necessary. We test this
measure for the examples of two coupled one-dimensional dielectric slabs and a
dimer of metal nanorods acting as QNM cavities. For sufficiently large
separations, the new scheme allows for an efficient treatment of multi-cavity
phenomena using parameters defined for the individual cavities. Formulating the
Hamiltonian in a familiar system-bath form, the scheme connects the rigorous
QNM theory and widespread phenomenological models of open cavities coupled to a
shared photonic bath with parameters obtained directly from Maxwell
calculations.
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