Non reflection and perfect reflection via Fano resonance in waveguides

DOI10.4310/CMS.2018.v16.n7.a2zbMath1421.78017arXiv1801.08889OpenAlexW2963384377WikidataQ128268981 ScholiaQ128268981MaRDI QIDQ667000

Lucas Chesnel, Sergueï A. Nazarov

Publication date: 12 March 2019

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08889

zbMATH Keywords

scattering matrixwaveguidesFano resonancenon reflectionperfect reflection

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Asymptotic analysis in optics and electromagnetic theory (78M35)

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Acoustic passive cloaking using thin outer resonators ⋮ From zero transmission to trapped modes in waveguides ⋮ Exact zero transmission during the Fano resonance phenomenon in non-symmetric waveguides ⋮ A Mathematical Theory for Fano Resonance in a Periodic Array of Narrow Slits ⋮ Bound states in the continuum and Fano resonances in subwavelength resonator arrays ⋮ Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament ⋮ Wave scattering by a periodic perturbation: embedded Rayleigh-Bloch modes and resonances

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