Title :
Accuracy of the method of moments for scattering by a cylinder
Author :
Warnick, Karl F. ; Chew, Weng Cho
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
fDate :
10/1/2000 12:00:00 AM
Abstract :
We study the accuracy and convergence of the method of moments for numerical scattering computations for an important benchmark geometry: the finite circular cylinder. From the spectral decomposition of the electric-field integral equation for this scatterer, we determine the condition number of the moment matrix and the dependence of solution error on the choice of basis functions, discretization density, polarization of the incident field, and the numerical quadrature rule used to evaluate moment-matrix elements. The analysis is carried out for both the TM polarization (weakly singular kernel) and TE polarization (hypersingular kernel). These results provide insights into empirical observations of the convergence behavior of numerical methods in computational electromagnetics
Keywords :
boundary integral equations; convergence of numerical methods; electric field integral equations; electromagnetic wave polarisation; electromagnetic wave scattering; error analysis; matrix algebra; method of moments; EFIE; EM wave scattering; TE polarization; TM polarization; basis functions; computational electromagnetics; condition number; convergence behavior; discretization density; electric-field integral equation; error analysis; finite circular cylinder; hypersingular kernel; incident field polarisation; method of moments accuracy; moment matrix; numerical quadrature rule; numerical scattering computations; spectral decomposition; weakly singular kernel; Computational electromagnetics; Computational geometry; Convergence of numerical methods; Electromagnetic scattering; Electromagnetic wave polarization; Integral equations; Kernel; Matrix decomposition; Moment methods; Tellurium;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
