Whispering Bloch modes
نویسندگان
چکیده
منابع مشابه
Whispering Bloch modes
We investigate eigenvalue problems for the planar Helmholtz equation in open systems with a high order of rotational symmetry. The resulting solutions have similarities with the whispering gallery modes exploited in photonic micro-resonators and elsewhere, but unlike these do not necessarily require a surrounding material boundary, with confinement instead resulting from the geometry of a serie...
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Whispering gallery modes are specific resonances (or modes) of a wave field that are confined inside a given resonator (cavity) with smooth edges due to continuous total internal reflection. The most interesting from a practical viewpoint are electromagnetic whispering gallery modes, since they posses many unique properties, such as ultra-high Q-factors, low mode volumes, small sizes of resonat...
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Two dimensional resonators with a smooth strictly convex boundary are known to possess a whispering gallery region supporting modes concentrated near the boundary. A new class of asymmetric resonant cavities is introduced, where a whispering gallery-like region is found deep inside the resonator. The construction of such resonators is a novel application of the geometric control methods. The re...
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We numerically calculate the forms and frequencies of mechanical whispering-gallery modes in silica shells. Such modes were recently experimentally observed in water-filled optomechanical resonators, which constitute a bridge between optomechanics and microfluidics. We consider the three acoustic mode families of Rayleigh–Lamb waves, longitudinal waves and Love waves. Our study shows that these...
متن کاملDiscrete-symmetry vortices as angular Bloch modes.
The most general form for symmetric modes of nonlinear discrete-symmetry systems with nonlinearity depending on the modulus of the field is presented. Vortex solutions are demonstrated to behave as Bloch modes characterized by an angular Bloch momentum associated to a periodic variable, periodicity being fixed by the order of discrete point-symmetry of the system. The concept of angular Bloch m...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2016
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2016.0103