Title :
Time Domain CalderÓn Identities and Their Application to the Integral Equation Analysis of Scattering by PEC Objects Part I: Preconditioning
Author :
Cools, Kristof ; Andriulli, Francesco P. ; Olyslager, Femke ; Michielssen, Eric
Author_Institution :
Dept. of Inf. Technol. (INTEC), Ghent Univ., Ghent, Belgium
Abstract :
Time domain electric field integral equations often are used to analyze transient scattering from perfect electrically conducting objects. When discretized using marching-on-in-time recipes they give rise to linear systems of equations that can be solved for the induced currents for all time steps. Unfortunately, when the scatterer is approximated by increasingly dense meshes, the condition number of these systems grows rapidly, slowing down the convergence of iterative solvers. Here, time domain Calderon identities are derived and subsequently used to construct a Calderon-preconditioned time domain electric field integral equation that can be discretized even with dense meshes using Buffa-Christiansen basis functions. Numerical results that demonstrate the effectiveness and accuracy of the proposed method are presented.
Keywords :
electromagnetic fields; electromagnetic wave scattering; integral equations; linear systems; time-domain analysis; Buffa-Christiansen basis functions; dense meshes; induced currents; iterative solvers; linear systems; perfect electrically conducting surfaces; preconditioning; time domain Calderon identities; time domain electric field integral equations; transient electromagnetic fields scattering; Electrical capacitance tomography; Electromagnetic fields; Electromagnetic radiation; Electromagnetic scattering; Electromagnetic transients; Frequency domain analysis; Information technology; Integral equations; Integrated circuit modeling; Radar scattering; Time domain analysis; Transient analysis; Electric field integral equation; preconditioning; time domain analysis;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2009.2024460