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" High-order integral equation methods for high-frequency rough surface scattering applications "


Document Type : Latin Dissertation
Language of Document : English
Record Number : 149751
Doc. No : ET21543
Main Entry : Catalin Turc
Title Proper : High-order integral equation methods for high-frequency rough surface scattering applications
Note : This document is digital این مدرک بصورت الکترونیکی می باشد
Abstract : In this thesis, a new numerical scheme is introduced for three-dimensional acousticand electromagnetic rough-surface scattering simulations that can deliver highly accurateresults from low to high frequencies at a cost that is independent of the wavelength ofthe incoming radiation. The method is based on high-order asymptotic expansions of theoscillatory integrals that enter potential theoretic formulations of the scattering problemsin the high-frequency regime, in a manner that bypasses the need to resolve the fields onthe scale of the wavelength of radiation. Indeed, the solutions of the integral equations(e.g. the normal velocity in acoustics and the current in electromagnetics) are soughtin the form of slow modulations of highly oscillatory exponentials of known phases, andseries expansions in inverse powers of the wavenumber are chosen to represent the unknownslowly varying envelopes. As shown, this framework can be made to yield an efficientlycomputable recursion for the terms of the series to any arbitrary order. The resultingalgorithms generally provide a very significant improvement over classical (e.g. Kirchhoff 's)approximations in both accuracy and applicability and they can, in fact, efficiently produceresults with full double-precision accuracy for configurations of practical interest, includingrough surfaces that exhibit composite roughness.tested for theQ1 PC1 bus cardBoth these projects mere sofixare des elopment efforts tonards contributing to dlfferentaspects of Roboucs and lZ1echatronics projects m the Controls and Roboucs Group..
Subject : Electericl tess
: برق
electronic file name : TL44717.pdf
Title and statement of responsibility and : High-order integral equation methods for high-frequency rough surface scattering applications [Thesis]
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TL44717.pdf
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