Green's identity checks and boundary element solution of new combined field integral equations for electromagnetic scattering

• Published in: Applied mathematical modelling Vol. 20; no. 2; pp. 143 - 151
• Main Authors: Hall, W.S, Mao, X.Q
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 01.02.1996; Elsevier Science
• Subjects: boundary element method; differential scattering crosssection; electromagnetic scattering; Exact sciences and technology; field integral equations; Green's identity; Integral and integrodifferential equations; Integral equations, integral transforms; Mathematical methods in physics; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation and analysis; Physics; Sciences and techniques of general use; differential scattering crosssection; Green's identity; boundary element method; field integral equations; electromagnetic scattering; Sphere; Differential cross section; Dielectric materials; Wave scattering; Integral equation; Numerical method; Green identity; Electromagnetic wave; Boundary element method; Field equation; Exact solution
• ISSN: 0307-904X
• DOI: 10.1016/0307-904X(95)00131-3

A quadratic isoparametric boundary element formulation has been used to solve numerically a set of new combined field integral equations (NCFIEs) for electromagnetic scattering in which the unknowns are the electric and magnetic fields themselves rather than related potentials. Treatment of weakly and strongly singular integrals appearing in the equations is based on subtraction and regularization, including its application to Cauchy principal values. Results for an appropriate related Green's identity are used to indicate efficiency and accuracy. Corresponding solutions obtained from the full equations for the differential scattering cross-section distribution with respect to scattering angles are compared with exact results for a dielectric sphere and provide good agreement.