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Embedded eigenvalues and Fano resonance for metallic structures with small holes

编辑:wfy 时间:2019年05月10日 访问次数:350

Title: Embedded eigenvalues and Fano resonance for metallic structures with small holes

时间:5月13日 上午8:30——11:30

地点:逸夫工商楼200-9

报告人:林俊杉教授(美国奥本大学Auburn University)

Abstract: Fano resonance, which was initially recognized in quantum mechanics by Ugo Fano, has been extensively explored in photonics since the past decade due to its unique resonant feature of a sharp transition from total transmission to total reflection. Mathematically, Fano resonance is related to certain eigenvalues embedded in the continuum spectrum of the underlying differential operator when the Block wavenumber is zero and their perturbations as complex-valued resonances when the Block wavenumber becomes nonzero. For photonic structures, the quantitative studies of embedded eigenvalues mostly rely on numerical approaches. In this talk, based on layer potential technique and asymptotic analysis, I will present quantitative analysis of embedded eigenvalues and their perturbation as resonances for a periodic array of subwavelength metallic structure. From a quantitative analysis of the wave field for the scattering problem, a rigorous proof of Fano-type resonance phenomenon will be given. In addition, the field amplification at Fano resonance frequencies will be discussed.

联系人:赖俊老师laijun6@zju.edu.cn

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