Modal expansion of the scattered field: Causality, nondivergence, and nonresonant contribution

Rémi Colom 1 Ross Mcphedran 2 Brian Stout 1 Nicolas Bonod 1
1 CLARTE - CLARTE
FRESNEL - Institut FRESNEL
Abstract : Modal analysis based on the quasi-normal modes (QNM), also called resonant states, has emerged as a promising way for modeling the resonant interaction of light with open optical cavities. However, the fields associated with QNM in open photonic cavities diverge far away from the scatterer and the possibility of expanding the scattered field with resonant contributions only has not been established. Here, we address these two issues while restricting our study to the case of a dispersionless spherical scatterer. First, we derive the rigorous pole expansion of the T-matrix coefficients that link the scattered to the incident fields associated with an optical resonator. This expansion evinces the existence of a non-resonant term. Second, in the time domain, the causality principle allows us to solve the problem of divergence and to derive a modal expansion of the scattered field that does not diverge far from the scatterer.
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Submitted on : Tuesday, August 21, 2018 - 9:12:20 AM
Last modification on : Monday, March 4, 2019 - 2:04:23 PM
Long-term archiving on : Thursday, November 22, 2018 - 12:48:35 PM

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Rémi Colom, Ross Mcphedran, Brian Stout, Nicolas Bonod. Modal expansion of the scattered field: Causality, nondivergence, and nonresonant contribution. Physical Review B : Condensed matter and materials physics, American Physical Society, 2018, 98 (8), ⟨10.1103/PhysRevB.98.085418⟩. ⟨hal-01858556⟩

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