Igarashi, Akira Simultaneous Wiener-Hopf equations and their application to diffraction problems in electromagnetic theory. III. (English) Zbl 1230.78011 J. Phys. Soc. Japan 25, No. 2, 607-615 (1968). 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)]. Cited in 1 ReviewCited in 1 Document MSC: 78A45 Diffraction, scattering Citations:Zbl 1230.78010 × Cite Format Result Cite Review PDF Full Text: DOI