Iterative methods in electromagnetic scattering based on the minimization of the root mean square error

Date
1989
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Publisher
Stellenbosch : Stellenbosch University
Abstract
ENGLISH ABSTRACT: Iterative schemes based on the minimization of the error in scattering problems are presented. In particular, scattering by impenetrable objects is considered. These problems result in operator expressions of convolution type which are solvable using spectral methods. The numeric implementation involves the application of the discrete Fourier transform. A description of the computer implementation of these methods is followed by various numeric results which include a study of the rate of convergence of the schemes and the stability of the solution.
AFRIKAANSE OPSOMMING: Iteratiewe metodes gegrond op die vermindering van die fout in verstrooiingsprobleme word voorgestel. Veral verstrooiing deur ondeurdringbare voorwerpe word ondersoek. Hierdie probleme lei tot operatoruitdrukkings van konvolusie tipe wat deur middel van spektraalmetodes oplosbaar is. Dit behels die toepassing van die diskreet Fourier transform in die numeriese uitvoering. Die rekenaarimplementering van hierdie metodes word beskryf en verskeie numeriese resultate volg wat 'n bestudering van die tempo van konvergensie van die metodes en die stabiliteit van die oplossing insluit.
Description
Thesis (M. Eng.) -- University of Stellenbosch, 1989.
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