Kavaklioglu, OemerSchneider, Baruch2023-06-162023-06-1620080096-3003https://doi.org/10.1016/j.amc.2007.12.030https://hdl.handle.net/20.500.14365/1046The 'asymptotic solution' for the classical electromagnetic problem of the diffraction of obliquely incident plane E-polarized waves by an infinite array of infinitely long insulating dielectric circular cylinders is investigated. Exploiting the elementary function representations of 'Schlomilch series', which was originally developed by Twersky [ V. Twersky, Elementary function representations of Schlomilch series. Arch. Ration. Mech. Anal. 8 ( 1961) 323 - 332.], we have obtained a 'new' set of equations describing the behavior of the 'Fourier-Bessel multiple scattering coefficients' of an infinite grating of circular dielectric cylinders for vertically polarized obliquely incident plane electromagnetic waves when the grating spacing 'd' is small compare to a wavelength. In addition, we have achieved to acquire the 'asymptotic solution for the multiple scattering coefficients of the infinite grating at oblique incidence' as a function of the ratio of the cylinder radius 'a' to grating spacing. (c) 2007 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/openAccessasymptotic expansionsmultiple scattering coefficientsE-polarized electromagnetic wavesinfinite gratingoblique incidenceSchlomilch SeriesWave ScatteringPlane-WaveRepresentationDiffractionArticle10.1016/j.amc.2007.12.030