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PIERS Online
Vol. 3
No. 6
2007
pp: 784-789A Method to Reduce the Oscillations of the Solution of Time Domain Integral Equation Using Laguerre PolynomialsXinpu Guan, Shaogang Wang, Yi Su, and Jun-Jie Mao doi:10.2529/PIERS060906092326 Downloads: 865 Abstract:In this paper, the reason of oscillations appeared in late time low energy region of time domain electric filed integral equation using laguerre polynomials is analyzed. And then, we propose an approach to reduce the oscillations by combining frequency and time domain. According to the Fourier transform relation between frequency responses and time responses, the solution of TDIE method with Laguerre expansion is absolutely convergent. Replace the spectrum of oscillation parts of time domain data with accurate frequency data by MOM. The stable time domain data can be obtained by performing IFFT to the revised frequency data. Numerical results are presented to illustrate the efficiency of this approach.References:1. Rao, S. M. and D. R. Wilton, "Transient scattering by conducting surfaces of arbitrary shape," IEEE Trans on Antennas and Propagation, Vol. 39, No. 1, 56-61, Jan., 1991. 2. Vechinski, D. A. and S. M. Rao, "A stable procedure to calculate the transient scattering by conducting surfaces of arbitrary shape," IEEE Trans. Antennas and Propagation, Vol. 40, No. 6, 661-665, June, 1992. 3. Rao, S. M. and T. K. Sarkar, "An efficient method to evaluate the time domain scattering from arbitrarily shaped conducting bodies," Microwave And Optical Technology Letters, Vol. 17, No. 5, 321-325, April, 1998. 4. Jung, B. H. and T. K. Sarkar, "Time domain electric field integral equation with central finite difference," Microwave and Optical Technology Letters, Vol. 31, No. 6, 429-435, Dec., 2001. 5. Ji, Z. and T. K. Sarkar, "A stable solution of time domain electric field integral equation for thin-wire antennas using the laguerre polynomials," IEEE Trans. Antennas and Propagation, Vol. 52, No. 10, 2641-2649, Oct., 2004. 6. Chung, Y. S. and T. K. Sarkar, "Solution of time domain electric field integral equation using the laguerre polynomials," IEEE Trans. Antennas and Propagation, Vol. 52, No. 9, 2319-2328, Sep., 2004. 7. Jung, B. H. and T. K. Sarkar, "Transient electromagnetic scattering from dielectric objects using the electric field integral equation with laguerre polynomials as temporal basis functions," IEEE Trans. Antennas and Propagation, Vol. 52, No. 9, 2329-2340, Sep., 2004. 8. Rao, S. M. and D. R. Wilton, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas and Propagation, Vol. AP-30, No. 3, 409-418, May, 1982. 9. Cui, T. J. and W. C. Chew, "Efficient MLFMA, RPFMA and FAFFA algorithms for EM scattering by very large structures," IEEE Trans. Antennas and Propagation, Vol. 52, No. 3, 759-770, March, 2004. 10. Narayana, S., G. Rao, and R. Adve, "Interpolation /extrapolation of frequency domain responses using the Hilbert transform," IEEE Trans. Microwaves Theory and Techniques, Vol. 44, No. 10, 1621-1627, Oct., 1996. 11. Narayana, S., T. K. Sarkar, and R. Adve, "A comparison of two techniques for the interpolation/extrapolation of frequency domain responses," Digital Signal Processing, Vol. 6, 51-67, 1996. |
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