volume | PIER Journals

Abstract

A new time-domain theory for waveguides has been presented in the paper. The electromagnetic fields are first expanded by using the complete sets of vector modal functions derived from the transverse electric field. The expansion coefficients are then determined by solving inhomogeneous Klein-Gordon equation in terms of retarded Green's function. The theory has been validated by considering propagation problems excited by various excitation waveforms, which indicates that the higher order modes play a significant role in the field distributions excited by a wideband signal.

1. Geyi, W., "Further research on the behavior of energy density of electromagnetic pulse," Microwave and Optical Technology Letters, Vol. 9, 331-335, 1996.
doi:10.1002/(SICI)1098-2760(19960820)12:6<331::AID-MOP8>3.0.CO;2-G Google Scholar

2. Namiki, M. and K. Horiuchi, "On the transient phenomena in the wave guide," J. Phys. Soc. Japan, Vol. 7, 190-193, 1952.
doi:10.1143/JPSJ.7.190 Google Scholar

3. Ito, M., "Dispersion of very short microwave pulses in waveguide," IEEE Trans. Microwave Theory and Techniques, Vol. 13, No. 5, 357-364, 1965.
doi:10.1109/TMTT.1965.1126000 Google Scholar

4. Stenius, P. and B. York, "On the propagation of transients in waveguides," IEEE Antennas and Propagation Magazine, Vol. 37, No. 2, 39-44, 1995.
doi:10.1109/74.382337 Google Scholar

5. Dvorak, S. L., "Exact, closed-form expressions for transient fields in homogeneous filled waveguides," IEEE Trans. Microwave Theory and Techniques, Vol. 42, No. 11, 2164-2170, 1994.
doi:10.1109/22.330133 Google Scholar

6. Elliott, R. S., "Pulse waveform degradation due to dispersion in waveguide," IRE Trans. Microwave Theory and Techniques, Vol. 5, No. 10, 254-257, 1957.
doi:10.1109/TMTT.1957.1125161 Google Scholar

7. Karbowiak, A. E., "Propagation of transients in waveguides," Proc. IEE (London), Vol. 104C, 339-349, 1957. Google Scholar

8. Ga jewski, R., "Influence of wall losses on pulse propagation in waveguides," J. Appl. Phys., Vol. 29, 22-24, 1958.
doi:10.1063/1.1722935 Google Scholar

9. Forrer, M. P., "Analysis of millimicrosecond RF pulse transmis- sion," Proc. IRE, Vol. 46, No. 11, 1830-1835, 1958. Google Scholar

10. Knop, M. and G. I. Cohn, "Comments on pulse waveform degradation due to dispersion in waveguides," IEEE Trans. Microwave Theory and Techniques, Vol. MTT-11, No. 9, 445-447, 1963.
doi:10.1109/TMTT.1963.1125697 Google Scholar

11. Knop, M., "Further comments on pulse waveform degradation due to dispersion in waveguides," IEEE Trans. Microwave Theory and Techniques, Vol. MTT-18, No. 9, 663-665, 1970.
doi:10.1109/TMTT.1970.1127315 Google Scholar

12. Cotte, M., "Propagation of a pulse in a waveguide," Onde Electron., Vol. 34, 143-146, 1954. Google Scholar

13. Poincelot, P., "Propagation of a signal along a waveguide," Ann. Telecommun., Vol. 9, No. 11, 315-317, 1954. Google Scholar

14. Saxon, W. A. and H. J. Schimidt, "Transients in a large waveguide," Proc. IEEE, Vol. 51, No. 2, 405-406, 1963. Google Scholar

15. Berger and J. W. E. Griemsmann "Transient electromagnetic guided wave propagation in moving media," IEEE Trans. Microwave Theory and Techniques, Vol. MTT-16, No. 10, 842-849, 1968.
doi:10.1109/TMTT.1968.1126801 Google Scholar

16. Schulz-DuBois, E. O., "Sommerfeld pre-and postcursors in the context of waveguide transients," IEEE Trans. Microwave Theory and Techniques, Vol. MTT-18, No. 8, 455-460, 1970.
doi:10.1109/TMTT.1970.1127268 Google Scholar

17. Nikitskiy, S. B., O. A. Tretyakov, and K. M. Yemelyanov, "Ar-bitrary signal propagation in waveguides," Mathematical Methods in Electromagnetic Theory, 260-263, 1996.
doi:10.1109/MMET.1996.565707 Google Scholar

18. Nikitskiy, S. B., O. A. Tretyakov, and K. M. Yemelyanov, "Waveg- uide propagation of electromagnetic step signal," Proceedings of the Mediterranean Electrotechnical Conference-MELECON, Vol. 1, 263-26, 1998.
doi:10.1109/MELCON.1998.692387 Google Scholar

19. Nikitskiy, S. B., O. A. Tretyakov, and K. M. Yemelyanov, "Electromagnetic step signal propagation in lossy waveguide," Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika), Vol. 51, No. 2, 149-159, 1997. Google Scholar

20. Collin, R. E., Field Theory of Guided Waves, 2nd edition, 1991.

21. Kristensson, G., "Transient electromagnetic wave propagation in waveguides," Journal of Electromagnetic Waves and Applications, Vol. 9, 645-671, 1995. Google Scholar

22. Harmuth, H. F., Antennas and Waveguides for Nonsinusoidal Waves, Academic Press, 1984.

23. Tretyakov, O. A., "Evolutionary equations for the theory of waveguides," IEEE Antennas and Propagation Society, Vol. 3, 1973-1976, 1994. Google Scholar

24. Tretyakov, O. A., "Evolutionary waveguide equations," Soviet Journal of Communications Technology & Electronics (English translation of Elektrosvyaz and Radiotekhnika), Vol. 35, No. 2, 7-17, 1990. Google Scholar

25. Kurokawa, K., An Introduction to the Theory of Microwave Circuits, Academic Press, 1969.

26. Erdelyi, A. (ed.), Tables of Integral Transform, Vol. 1, Bateman Manuscript Project, 1954.

27. Grandshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, 1994.

28. Marcuvitz, N., Waveguide Handbook, McGraw-Hill, 1951.

29. Zeidler, E., Applied Functional Analysis-Applications to Mathematical Physics, Springer-Verlag, 1995.

30. Courant, R. and D. Hilbert, Methods of Mathematical Physics, Interscience Publishers, 1953.

Dr. Geyi Wen