BookDOI
Short-Wavelength Diffraction Theory
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The article was published on 1991-01-01. It has received 297 citations till now. The article focuses on the topics: Electron backscatter diffraction & Selected area diffraction.read more
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Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering ∗
TL;DR: Recent progress on the design, analysis and implementation of hybrid numerical-asymptotic boundary integral methods for boundary value problems for the Helmholtz equation that model time harmonic acoustic wave scattering in domains exterior to impenetrable obstacles is described.
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Global linear stability analysis of weakly non-parallel shear flows
TL;DR: In this article, the global linear stability of incompressible, two-dimensional shear flows is investigated under the assumptions that far-field pressure feedback between distant points in the flow field is negligible and that the basic flow is only weakly non-parallel, i.e. that its streamwise development is slow on the scale of a typical instability wavelength.
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Localized Light Waves: Paraxial and Exact Solutions of the Wave Equation (a Review)
TL;DR: In this article, simple explicit localized solutions are systematized over the whole space of a linear wave equation, which models the propagation of optical radiation in a linear approximation, and a similarity between these exact solutions and harmonic in time fields obtained in the paraxial approximation based on the Leontovich-Fock parabolic equation has been studied.
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Three‐wave mixing in whispering gallery resonators
TL;DR: In this article, the progress in the development of frequency converters based on three-wave mixing in whispering gallery resonators (WGRs) is reviewed, revealing that the phase-matching condition known from conventional devices is replaced by several selection rules and furthermore, the fact that conversion efficiencies of more than 25% can be reached in the overcoupled regime only experimentally.
Journal ArticleDOI
From quasimodes to resonances
Siu-Hung Tang,Maciej Zworski +1 more
TL;DR: In this article, the authors extend this result to all dimensions and to a wide class of non-compactly supported perturbations and give lower bounds for the number of resonances in small neighbourhoods of the real axis.