A Novel Mesh-free Method for Electromagnetic Scattering from a Wire Structure

Abstract

A novel solution scheme of electromagnetic scattering from thin-wire by using method of mesh-free is presented. Based on the mixed potential integral equation (MPIE), the currents of the wire is constructed in terms of moving least squares (MLS) approach, the control function is built according the weighted residual method (WRM). Finally, the axial equivalent current of the wire is obtained and its radar cross section (RCS) is calculated. The efiects of in∞uence radius for the accuracy are emphatically investigated. DOI: 10.2529/PIERS061007214021 Mesh-free methods are now proven as robust numerical methods for many fleld analyses of EM problems. Such methods avoid the onerous mesh generation and adaptive updating, thereby resulting in continuous difierentiable approximations that are smooth function and require no post- processing, and therefore, they are flt for many EM problems with large structure and moving conductors. However, by now we discover most of the researchers are working in the static elec- tromagnetic fleld problems, and few is working on the electromagnetic scattering problem. In this paper, we present a novel solution of electromagnetic scattering from thin-wire excited by an incident plane wave by using mesh-free method. Using MLS with WRM, we calculate the axial equivalent current and RCS of the wire structure. The in∞uence radius of the control equation for the accuracy are emphatically investigated. The moving least-squares interpolation u h (x) of the function u(x) is deflned in the domain › by