Cascades of Fano resonances in light scattering by dielectric particles |
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| Affiliation: | 1. Department of Physics and Engineering, ITMO University, St. Petersburg 197101, Russia;2. Ceramics Co. Ltd., St. Petersburg 194223, Russia;3. Ioffe Institute, St. Petersburg 194021, Russia;1. Ioffe Institute, 194021 St Petersburg, Russia;2. Skolkovo Institute of Science and Technology, 143025 Moscow, Russia;3. ITMO University, 197101 St Petersburg, Russia;4. Lomonosov Moscow State University, 119991 Moscow, Russia;5. A.M.Prokhorov General Physics Institute, 119991 Moscow, Russia;1. College of Information and Communication Engineering, Harbin Engineering University, 150001, Harbin, China;2. Qingdao Innovation and Development Center of Harbin Engineering University, 266000 Qingdao, China;3. School of Physics and Engineering, ITMO University, 197101 Saint Petersburg, Russia;1. Department of Chemical Engineering, University of Illinois at Chicago, Chicago, IL 60607, USA;2. Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ 08854, USA;1. State Key Laboratory of Natural Medicines, School of Pharmacy, China Pharmaceutical University, Nanjing 210009, PR China;2. NMPA Key Laboratory for Research and Evaluation of Pharmaceutical Preparations and Excipients, China Pharmaceutical University, Nanjing 210009, PR China;3. Department of Pharmaceutical Sciences, Shanghai University of Traditional Chinese Medicine, Shanghai 201203, PR China;1. ITMO University, Department of Physics and Engineering, 9 Kronverksky pr, Saint-Petersburg 197101, Russia;2. St. Petersburg Academic University, 8/3 Khlopina str., Saint-Petersburg 194021, Russia;3. National Research University Higher School of Economics, 16 Soyuza Pechatnikov, St. Petersburg 190008, Russia;1. Energy and Environmental Science and Technology, Idaho National Laboratory, Idaho Falls, ID, 83415, United States;2. School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, United States;3. Department of Chemistry and Biochemistry, Montana State University, Bozeman, MT, 59717, United States |
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| Abstract: | Fano lineshapes are fundamental spectroscopic signatures that quantitatively characterize the structural and dynamic properties of physical objects, from nuclei to three-dimensional solids and liquids. The study of cascades of Fano resonances is a fresh approach to the classical problem that greatly expands our knowledge and the scope of practical applications. Here it is demonstrated that in solid state physics cascades of Fano resonance can be considered as a general property of light scattering by dielectric particles with the Mie and Fabry-Perot manifold of narrow photonic eigenmodes. A general picture of Fano resonance cascades in the spectra of all basic elementary scatterers (spheres, cylinders, rings, split rings, rectangular cuboids) is presented. For rings, split rings, and cuboids, the scattering spectrum is divided into separate spectral regions, which begin with a broad transverse resonance of the Lorentz-type or Fano-type lineshape, genetically related to the modes of the disk that generates the ring, and continue with a gallery of longitudinal modes with exponentially increasing Q factors. The alternation of a cascade of transverse modes in a strict sequence of Lorentz-Fano-Lorentz-Fano-… is shown theoretically, as well as experimentally in the case of a ring. This picture opens the door to new fundamental phenomena and extended functionality of dielectric elementary scatterers due to the highly asymmetric controllable shape of the Fano line, periodically repeating in the scattering spectrum. |
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| Keywords: | All-dielectric photonics Cascades of Fano resonances Gallery of longitudinal modes |
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