Scattering by dielectric circular cylinders in a dielectric slab

Abstract

An analytical-numerical technique for the solution of the plane-wave scattering problem by a set of dielectric cylinders embedded in a dielectric slab is presented. Scattered fields are expressed by means of expansions into cylindrical functions, and the concept of plane-wave spectrum of a cylindrical function is employed to define reflection and transmission through the planar interfaces. Multiple reflection phenomena due to the presence of a layered geometry are taken into account. Solutions can be obtained for both TM and TE polarizations and for near- and far-field regions. The numerical approach is described and the method is validated by comparison with examples given in the literature, with very good agreement. Results are presented for the scattering by a finite grid of three cylinders embedded in a slab.

Simulation of scattering by cylindrical targets hidden behind a layer

“…(11) (12) The theory presented in Section II has been implemented into a numerical code. This has been accomplished introducing a truncation on the infinite order of the series expansions on cylindrical functions, applying the rule !vI = 3 nl CX [14], and on the number of reflections relevant to the multiple-reflected fields to a finite number, with a very fast convergence.…”

“…The Cylindrical Wave Approach (CWA) is applied, an analytical-numerical technique to solve the scattering by objects buried below a planar or slightly rough interface [7]- [10]. Through a multiple-reflection ap proach, the method has been extended also to a layered geometry, with scatterers embedded into dielectric slab [11] [12]. The same approach has also turned out to be suitable to deal with the modeling of scattering by objects below a dielectric layer, in the frame of TW problems [13].…”

Application of the Cylindrical Wave Approach to the Simulation of Buried Utilities

“…The case of perfectly conducting cylinders is solved in [22]; the solution to the scattering problem by dielectric cylinders in a slab is described in [23]. It is important to observe that this extension of the method allows to simulate several interesting scenarios, as sketched in Figure 3: objects in a soil layer, above a ground of different permittivity (a), objects inside a slab among two identical half-spaces, for example, cylinders in a wall (b), or else scatterers in a slab terminated on a perfectly conducting surface (c), in a layer of a stratified medium (d), or, finally, cylinders above (e) or in (f) a dielectric half-space.…”

Modeling of a structural coloration of a photonic-crystal fiber

“…At present, various methods have been proposed of calculation of optical fields scattered by systems of parallel cylinders that possess [4][5][6][7][8][9] or, in a more general case, do not possess [10][11][12] circular symmetry. These methods can be applied in situations when cylinders either are surrounded by an infinite homogeneous medium [4,7,[10][11][12], or are embedded into a semi-infinite substrate [9], or are located inside of a plane-parallel layer with a finite thickness [5,6,8]. However, they are inefficient in solving this problem, since they are incapable of taking into account the reflection of light from a closed outer boundary of the PCF.…”