On the Factorization of Certain Kernels Arising in Functional Equations of the Wiener-Hopf Type
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概要
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The Wiener-Hopf technique is one of the most powerful methods for analyzingthe scattering and diffraction problems of electromagnetic or acoustic waves. Theessential step for the solution contains the so-called factorization. This procedureneeds to split certain analytic functions (kernels) into the multiplication form oftwo functions which have semi-infinite regions of regularity. In this paper, fac-torization of typical kernel functions which arise in the Wiener-Hopf equationsconcerned with dielectric objects, is discussed. By applying a general factorizationtheorem, exact integral representations of split functions are obtained and thensome approximate formulas are derived via rigorous asymptotic procedure. Asa result, it is pointed out that final approximate formulas are useful for highfrequency range.
- 社団法人日本物理学会の論文
- 1984-09-15
著者
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Kobayashi Kazuya
Department Of Biological Sciences And Informatics Keio University
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Kobayashi Kazuya
Department Of Electrical Engineering Chuo University
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