Abstract-A novel time-domain integral equation (TDIE) solver for transient analysis of conducting wires is proposed. It is formulated using the distribution of induced electric dipoles as unknown function. The triangular and B-spline functions are employed as the spatial and temporal basis functions, respectively. By using these basis functions, the matrix elements are found obtainable via exact closedform formulae, which furnish a robust scheme in terms of stability and accuracy. In addition, to accelerate the matrix filling, a recursive algorithm is introduced. Numerical validations are provided by a dipole antenna, a V-shape antenna and a helical antenna.
Abstract-A time domain integral equation approach for analysis of transient responses by 3D composite metallic-dielectric bodies is proposed, which is formulated using the surface equivalent polarization and magnetization as unknown functions. The time domain electric field integral equation is adopted for the metallic part, while the time domain Piggio-Miller-Chang-Harrington-Wu integral equations are adopted for the dielectric part. The spatial and temporal basis functions are the Rao-Wilton-Glisson functions and quadratic Bspline functions, respectively. Numerical examples are provided to demonstrate the stability and accuracy of the proposed method. No late-time instability is encountered, and the results are found in good agreements with analytical or moment method solutions.
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