Tribelsky, Michael IFlach, SergejGorbach, A VMiroshnichenko, AndreyKivshar, Yuri2009-10-162010-12-202009-10-162010-12-20Physical Review Letters 100.4 (2008): 043903/1-40031-90071079-7114http://hdl.handle.net/10440/936http://digitalcollections.anu.edu.au/handle/10440/936The conditions for observing Fano resonances at elastic light scattering by a single finite-size obstacle are discussed. General arguments are illustrated by consideration of the scattering by a small (relative to the incident light wavelength) spherical obstacle based upon the exact Mie solution of the diffraction problem. The most attention is paid to recently discovered anomalous scattering. An exactly solvable one-dimentional discrete model with nonlocal coupling for simulating diffraction in wave scattering in systems with reduced spatial dimensionality is also introduced and analyzed. Deep connections between the resonances in the continuous and discrete systems are revealed.4 pagesThe author has the right to deposit the final version or the APS-prepared version on the ANU institutional repository as long the author was employed by the ANU when the paper was published and the repository is for the ANU Canberra campus only, not joint with other universities or other entities. (Email from APS, Publications Marketing Coordinator, 30/7/09). Copyright statement: ©2008 The American Physical SocietyKeywords: Diffraction; Light scattering; Mathematical models; One dimensional; Resonance; Discrete models; Discrete systems; Spatial dimensionality; Spherical obstacles; Collision avoidance2008-01-3010.1103/PhysRevLett.100.0439032015-12-08