Study of electromagnetic wave propagation through dielectric slab doped randomly with thin metallic wires using finite element method

Investigation of reflection and transmission properties of dielectric slabs randomly doped with conducting objects

“…An edge-based finite-element method (FEM) using a tetrahedral mesh similar to [1] is employed to investigate the effects dopants have on the reflectivity and transmittivity of the dielectric slab. By placing the dielectric slab inside a waveguide, as shown in Figure 1, the reflection and transmission properties of the material can be obtained in a computationally efficient manner.…”

“…This is equivalent to removing the appropriate rows and columns of the FEM matrix equation, resulting in a reduced set of linear equations. Although the edge locations within a given mesh are fixed, modern unstructured mesh generators provide enough variety in edge orientation that the wires/patches may still be assumed to be randomly placed [1]. Also notice that the wires are assumed to be infinitesimally thin elements and there is no provision to include the wire radius as it stands today.…”

“…Novel frequency-dependent reflectivity and transmittivity characteristics of dielectric slabs have recently been shown to be achievable by embedding randomly oriented thin conducting wires (inclusions) within a host slab [1]. A wide variety of behaviors is obtainable by adjusting the wire length and doping level (wire density).…”

A Novel Wavelet-Galerkin Method for Modeling Radio Wave Propagation in Tropospheric Ducts

“…So, it takes long to solve these matrices and it also uses up too much memory. Finite Element Method (FEM) has also been employed for the solution of parabolic equation [3][4][5][6][7]. Effective boundary handling makes FEM attractive to numerical solution of partial differential equations (PDE).…”

Effects of Random Errors Upon Effective Permittivity of a Composite Containing Short Needles

“…The propagation of electromagnetic waves through dielectric slab embedded with randomly distributed short thin wires has been studied by Deshpande and Deshpande [7]. They have analyzed the reflection and transmission coefficients numerically using finite element method.…”