Asymptotic analysis of transverse magnetic multiple scattering by the diffraction grating of penetrable cylinders at oblique incidence. (English) Zbl 1243.78026

Kavaklıoğlu, Ömer; Lang, Roger Henry

J. Appl. Math. 2011, Article ID 715087, 30 p. (2011).

The paper presents a rigorous derivation of the asymptotic equations associated with the multiple scattering coefficients of an infinite grating of dielectric circular cylinders for obliquely incident vertically polarized plane electromagnetic waves. The asymptotic behavior is studied when the wavelength of the incident radiation is much larger than the distance between the cylinders. These results are the generalizations of those in the case of non-oblique incidence [V. Twersky, “On scattering of waves by the infinite grating of circular cylinders”, IRE Trans. Antennas and Propag. 10, No. 6, 737–765 (1962; doi:10.1109/TAP.1962.1137940)].

Reviewer: Dmitry Shepelsky (Kharkov)

MSC:

78A45	Diffraction, scattering
78M35	Asymptotic analysis in optics and electromagnetic theory

Keywords:

scattering by gratings; multiple scattering; Twersky equation; Schlömilch series

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