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Photonic and plasmonic resonators are dielectric or metallic optical devices that confine light at a scale smaller than the wavelength. The eigenmodes of the system are obviously powerful and intuitive tools to describe light scattering and light-matter interactions mediated by the resonant structure. However, owing to the presence of energy dissipation (by radiation or absorption), using the eigenmodes of nanoresonators is an open issue that has been partly solved only recently. We have developed a modal formalism that relies on the concept of quasinormal modes with complex eigenfrequencies. The theory is capable of handling any photonic or plasmonic resonator with strong radiation leakage, absorption and material dispersion. The normalization of the quasinormal modes constitutes one of the key points of the modal formalism; only a proper and efficient normalization method can ensure both a good accuracy and a high versatility of the theory. Different methods for normalizing quasinormal modes have been published recently. We benchmark these methods on the generic example of a plasmonic nanoantenna lying over a substrate.
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C. Sauvan, J.-P. Hugonin, P. Lalanne, "Photonic and plasmonic nanoresonators: a modal approach," Proc. SPIE 9546, Active Photonic Materials VII, 95461C (31 August 2015); https://doi.org/10.1117/12.2190201