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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2008-04-09
Temporal Cavity Oscillations Caused by a Wide-Band Waveform
By
Oleg Tretyakov,

    Professor Oleg Tretyakov

    Electronic Engineering Department

    Gebze Institute of Technology

    Turkey

    Homepage

Fatih Erden

    Dr. Fatih Erden

    Electronic Engineering Department

    Gebze Institute of Technology

    Turkey

    Homepage

Progress In Electromagnetics Research B, Vol. 6, 183-204, 2008
doi:10.2528/PIERB08031222 | Google Scholar

Abstract
Excitation of the electromagnetic fields by a wide-band current surge, which has a beginning in time, is studied in a cavity bounded by a closed perfectly conducting surface. The cavity is filled with Debye or Lorentz dispersive medium. The fields are presented as the modal expansion in terms of the solenoidal and irrotational cavity modes with the time-dependent modal amplitudes, which should be found. Completeness of this form of solution has been proved earlier. The systems of ordinary differential equations with time derivative for the modal amplitudes are derived and solved explicitly under the initial conditions and in compliance with the causality principle. The solutions are obtained in the form of simple convolution (with respect to time variable) integrals. Numerical examples are exhibited as well.
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Citation
Oleg Tretyakov, and Fatih Erden, "Temporal Cavity Oscillations Caused by a Wide-Band Waveform," PIER B, Vol. 6, 183-204, 2008.
doi:10.2528/PIERB08031222
References

1. Camp, M. and H. Garbe, "Susceptibility of personal computer systems to electromagnetic pulses with double exponential character," Advances in Radio Science, Vol. 2, 63-69, 2004.        Google Scholar

2. Savic, M. S., "Estimation of the surge arrester outage rate caused by lightning overvoltages," IEEE Trans. on Power Delivery, Vol. 20, No. 1, 116-122, January 2005.
doi:10.1109/TPWRD.2004.835435        Google Scholar

3. Zhen, J., S. C. Hagness, J. H. Booske, S. Mathur, and M. L. Meltz, "FDTD analysis of a Gigahertz TEM cell for ultra-wideband pulse exposure studies of biological specimens," IEEE Trans. on Biomedical Eng., Vol. 53, No. 5, 780-789, May 2006.
doi:10.1109/TBME.2005.863959        Google Scholar

4. Camp, M. and H. Garbe, "Parameter estimation of double exponential pulses (EMP, UWB) with least squares and nelder mead algorithm," IEEE Trans. on EM Compatibility, Vol. 46, No. 4, 675-678, November 2004.
doi:10.1109/TEMC.2004.838228        Google Scholar

5. Tretyakov, O. A., Analytical and Numerical Methods in Electromagnetic Wave Theory, M. Hashimoto, M. Idemen, O. A. Tretyakov (eds.), Chapter 3, Science House Co., Ltd., Tokyo 1993.

6. Tretyakov, O. A., "Evolutionary equations for the theory of waveguides," Proc. IEEE AP-S Int. Symp. Dig., 2465-2471, Seattle, WA, June 1994.

7. Aksoy, S. and O. A. Tretyakov, "Study of a time variant cavity system," Journal of Electromagnetic Waves and Applications, Vol. 16, No. 11, 1535-1553, 2002.
doi:10.1163/156939302X00985        Google Scholar

8. Aksoy, S. and O. A. Tretyakov, "Evolution equations for analytical study of digital signals in waveguides," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 12, 263-270, 2004.        Google Scholar

9. Aksoy, S. and O. A. Tretyakov, "The evolution equations in study of the cavity oscillations excited by a digital signal," IEEE Trans. Antennas Propag., Vol. 52, No. 1, 263-270, 2004.
doi:10.1109/TAP.2003.822399        Google Scholar

10. Aksoy, S., M. Antyufeyeva, E. Basaran, A. A. Ergin, and O. A. Tretyakov, "Time-domain cavity oscillations supported by a temporally dispersive dielectric," IEEE Trans. Microw. Theory Tech., Vol. 53, No. 8, 2465-2471, 2005.
doi:10.1109/TMTT.2005.852784        Google Scholar

11. Weyl, H., "The method of orthogonal projection in potential theory," Duke Math. J., Vol. 7, 411-444, 1940.
doi:10.1215/S0012-7094-40-00725-6        Google Scholar

12. http://math.fullerton.edu/mathews/n2003/matrixexponential/MatrixExponentialBib/Links/MatrixExponentialBib lnk 2.html.

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