YAN, Wei; LALANNE, Philippe; QIU, Min

doi:10.1103/PhysRevLett.125.013901

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YAN, Wei
Westlake University [Zhejiang]
Westlake Institute for Advanced Study [WIAS]

LALANNE, Philippe
Laboratoire Photonique, Numérique et Nanosciences [LP2N]

QIU, Min
Westlake University [Zhejiang]
Westlake Institute for Advanced Study [WIAS]

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Physical Review Letters. 2020-07, vol. 125, n° 1

American Physical Society

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When material parameters are fixed, optical responses of nanoresonators are dictated by their shapes and dimensions. Therefore, both designing nanoresonators and understanding their underlying physics would benefit from a theory that predicts the evolutions of resonance modes of open systems—the so-called quasinormal modes (QNMs)—as the nanoresonator shape changes. QNM perturbation theories (PTs) are one ideal choice. However, existing theories developed for tiny material changes are unable to provide accurate perturbation corrections for shape deformations. By introducing a novel extrapolation technique, we develop a rigorous QNM PT that faithfully represents the electromagnetic fields in perturbed domain. Numerical tests performed on the eigenfrequencies, eigenmodes, and optical responses of deformed nanoresonators evidence the predictive force of the present PT, even for large deformations. This opens new avenues for inverse design, as we exemplify by designing super-cavity modes and exceptional points with remarkable ease and physical insight.< Réduire

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Shape Deformation of Nanoresonator: A Quasinormal-Mode Perturbation Theory

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