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Simultaneous Wiener-Hopf equations and their application to diffraction problems in electromagnetic theory. III. (English) Zbl 1230.78011

Summary: An infinite set of simultaneous Wiener-Hopf equations with the kernel which is a Laurent matrix and its application is discussed. Owing to the special form of the kernel, it can be shown that the Fourier series expansion method transforms the infinite set of simultaneous equations into a single one containing a parameter. On the basis of this result, a treatment is made of the radiation of electromagnetic waves of TM type from an infinite set of staggered, equally spaced, semi-infinite plates.
For part II, cf. [ibid. 25, 260–271 (1968; Zbl 1230.78010)].

MSC:

78A45 Diffraction, scattering

Citations:

Zbl 1230.78010
Full Text: DOI