Scattering by a cylindrical dielectric shell with inhomogeneous permittivity profile

Scattering of Electromagnetic Plane Wave by a Perfectly Conducting Slit and a Pemc Parallel Cylinder

“…A possible technique is to use fictitious line sources, located according to the geometry of each scatterers. This technique was used by Clemmow [25] for the diffraction by a wide slit and extended by Elsherbeni and Hamid [26,27]. In this paper we have applied the technique to three scatterers, i.e., two parallel perfect electric conducting (PEC) half planes and a perfectly electromagnetic conductor cylinder (PEMC).…”

Rigorous Coupled Wave Theory of Anisotropic, Azimuthally-Inhomogeneous Cylindrical Systems

“…In a recent paper [4] the present author generalized the work of [1][2][3] and presented an EM cylindrical solution algorithm to analyze radiation and scattering from isotropic dielectric cylindrical systems which have an arbitrary radial and azimuthal ε(ϕ, ϕ) profile rather than the ε(ρ, ϕ) profile used by [1][2][3]. The solution algorithm in this paper [4] was based on a recently developed EM planar diffraction grating algorithm called Rigorous Coupled Wave Theory [5][6][7].…”

“…Elsherbeni and Hamid [1] study EM, transverse magnetic (TM, electric field parallel to the cylinder axis) scattering from the inhomogeneous radial dielectric shell permittivity profile ε(ρ, ϕ) = ε a (ρ 0 /ρ) 2 (η − δ cos(2ϕ)) where ε a , ρ 0 , η , and δ are constants defined in [1] and ρ and ϕ are cylindrical coordinates. Mathieu functions are used to solve for the EM fields in the inhomogeneous shell region.…”

“…Mathieu functions are used to solve for the EM fields in the inhomogeneous shell region. The choice of ε(ρ, ϕ) used by [1][2][3] was necessary in order that the Region 2 solution could be expressed in terms of Mathieu functions. A limitation of the solution of [1][2][3] is the fact that their solution doesn't apply to an arbitrary ε(ϕ, ϕ) profile, but only one to which a Mathieu function solution can be found.…”

“…A problem concerning circular cylindrical object scattering which has been studied is the problem of determining the scattering and radiation that occurs when a circular cylindrical dielectric system contains a region whose permittivity is inhomogeneous and periodic in the phi ( ϕ ) azimuthal direction [1][2][3]. Elsherbeni and Hamid [1] study EM, transverse magnetic (TM, electric field parallel to the cylinder axis) scattering from the inhomogeneous radial dielectric shell permittivity profile ε(ρ, ϕ) = ε a (ρ 0 /ρ) 2 (η − δ cos(2ϕ)) where ε a , ρ 0 , η , and δ are constants defined in [1] and ρ and ϕ are cylindrical coordinates.…”