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ABSTRACT: A new algorithm is presented for analyzing scattering from two-dimensional (2-D) nonlinear penetrable objects that are illuminated by transient transverse magnetic (TM) polarized fields. The proposed scheme solves a time-domain volume-integral inequation (TDVIE) using a marching-on-in-time (MOT) technique. Numerical results obtained using this technique and the finite-difference-time-domain (FDTD) method are in excellent agreement. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 26: 419–423, 2000.
Microwave and Optical Technology Letters 07/2000; 26(6):419 - 423. · 0.62 Impact Factor
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ABSTRACT: This paper presents a time-domain volume integral equation based scheme for simulating electromagnetic scattering from nonlinear cylinders. Numerical results obtained using this method are in excellent agreement with data obtained using the FDTD method
Antennas and Propagation Society International Symposium, 2000. IEEE; 02/2000
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ABSTRACT: In EM scattering theory we introduce a fast method for evaluating the [B<sub>m</sub>] vector in the equation [A<sub>mk</sub>][J<sub>k</sub>(t<sub>n</sub>)]=[B<sub>m</sub>] where [J <sub>k</sub>(t<sub>n</sub>)] is a vector whose element J<sub>k</sub>(t <sub>n</sub>) denotes the current density on the kth spatial patch at time t<sub>n</sub>, [A<sub>mk</sub>] is a matrix describing instantaneous interactions between current elements, [B<sub>m</sub>] is a vector whose elements are calculated from the known incident field and that produced by currents prior to time t<sub>n</sub>. This method relies on an expression of the vector potential in terms of a time-gated Hilbert transform and its computational complexity scales as O(N<sub>t </sub>logN<sub>t</sub>). The proposed method is a subset of the plane wave time domain methods that our group developed earlier. In contrast to the latter, the current technique only results in improved scaling of the computational cost w.r.t. the number of time steps in the analysis and does not change the scaling of the cost w.r.t. the number of spatial unknowns. Nonetheless, the proposed scheme is far more simple to implement than full-fledged plane wave time domain solvers and therefore deserves separate attention
Antennas and Propagation Society International Symposium, 1999. IEEE; 09/1999
