Improving the integral equation in the hybrid FEM‐RBCI method for scalar electromagnetic scattering problems

Abstract

Purpose -The purpose of this paper is to improve the accuracy of the integral equation of the hybrid FEM-RBCI (Finite Element Method-Robin Boundary Condition Iteration) method for the numerical solution of two-dimensional electromagnetic (or acoustic) scattering problems. Design/methodology/approach -This accuracy improvement is achieved by selecting the integration curve as straight segments lying in the middle of the triangular finite elements. An accuracy improvement is obtained as compared with selecting the integration curve as constituted by element sides. Findings -The improved FEM-RBCI method described in this paper leads to accuracies of the numerical results which are better than those obtained by selecting the integration curve by element sides. Originality/value -The paper presents results for a simple two-dimensional structure: a dielectric circular cylinder.

A novel representation of electromagnetic field interaction with vertically stratified structures

“…Then, because of the structure properties, a scattered wave is generated which is measured at the receiver (Khan and Mukerji, 2020). Electromagnetic scattering is of great importance for several applications such as nondestructive testing, geophysical prospecting, radar imaging, antenna realization and guided waves (Dinia et al , 2020; Zou et al , 2018; Sun et al , 2017; Chen et al , 2021; Nicomedes et al , 2010; Alfonzetti et al , 2012). That is why several methods were made to develop numerical techniques for solving the scattering problem, for example, finite difference time domain and finite element techniques (Taflove and Hagness, 2005; Jin, 2015).…”