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2010-01-13
Mode Expansion in Time Domain for Conical Lines with Angular Medium Inhomogeneity
By
Progress In Electromagnetics Research B, Vol. 19, 151-176, 2010
Abstract
A new modification of the method of Mode Expansion in Time Domain is proposed for studying transient signals propagation in conical lines (including multi-connected ones) with inhomogeneous and time-dependent medium. The method is based on expanding the fields in spherical coordinate system into series of angular dependent modes with mode amplitudes being governed by a system of coupled evolutionary equations. The medium parameters (permittivity and permeability) are taken in a factorized form as a product of angular dependent factor and a factor that depends on time and radial coordinate. The introduced method can be applied to analysis of propagation and radiation in conical-like antennas with dielectric filling.
Citation
Alexander Butrym, and Bogdan A. Kochetov, "Mode Expansion in Time Domain for Conical Lines with Angular Medium Inhomogeneity," Progress In Electromagnetics Research B, Vol. 19, 151-176, 2010.
doi:10.2528/PIERB09102606
References

1. Harrington, R. F., Time-harmonic Electromagnetic Fields, The IEEE Press, Wiley-Interscience, John Wiley & Sonns, Inc., New York, Chichester, Weinheim, Brisbane, Singapore, Toronto, USA, 2001.
doi:10.1109/9780470546710

2. Taflove, A. and S. C. Hagness, Computational Electromagnetics: The Finite-difference Time-domain Method, 2 Ed., Artech House, Boston, London, Norwood, MA, USA, 2000.

3. Kunz, K. S. and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics, CRC Press, Boca Raton, London, New York, Washington, DC, USA, 1993.

4. Matthew, N. O. S., Numerical Techniques in Electromagnetics, 2 Ed., CRC Press, Boca Raton, London, New York, Washington, DC, USA, 2001.

5. Kisunko, G. V., Electrodynamics of Hollow Systems, VKAS, Leningrad, USSR, 1949 (in Russian).

6. Tretyakov, O. A., "Essentials of nonstationary and nonlinear electromagnetic field theory," Analytical and Numerical Methods in Electromagnetic Wave Theory, 572, M. Hashimoto, M. Idemen and O. A. Tretyakov (eds.), Science House Co., Ltd., Tokyo, 1993.

7. Tretyakov, O. A., "Mode basis method," Radiotekhnika i Electronika, Vol. 31, No. 6, 1071-1082, 1986 (in Russian).

8. Tretyakov, O. A., "Evolutionary waveguide equations," Radiotekhnika i Electronika, Vol. 34, No. 5, 917-926, 1989 (in Russian).

9. Tretyakov, O. A. and S. V. Chumachenko, "Oscillations in a Resonator filled with a time-varying dielectric medium," Telecommunications and Radio Engineering, Vol. 52, No. 6, 36-45, 1998.

10. 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

11. 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

12. Aksoy, S., M. Antyufeyeva, E. Basaran, A. A. Ergin, and O. A. Tretyakov, "Time-domain cavity oscillations by a temporally dispersive dielectric," IEEE Transactions on Microwave Theory and Techniques, Vol. 53, No. 8, 2465-2471, Aug. 2005.
doi:10.1109/TMTT.2005.852784

13. Tretyakov, O. A. and F. Erden, "Temporal cavity oscillations caused by a wide-band waveform," Progress In Electromagnetics Research B, Vol. 6, 183-204, 2008.
doi:10.2528/PIERB08031222

14. Geyi, W., "Time-domain theory of metal cavity resonator," Progress In Electromagnetics Research, Vol. 78, 219-253, 2008.
doi:10.2528/PIER07090605

15. Antyufeyeva, M. S., A. Y. Butrym, and O. A. Tretyakov, "Transient electromagnetic fields in cavity with dispersive double negative medium," Progress In Electromagnetics Research M, Vol. 8, 51-65, 2009.
doi:10.2528/PIERM09062307

16. Tretyakov, O. A., "Evolutionary equations for the theory of waveguides," Antennas and Propagation Society International Symposium, AP-S Digest, Vol. 3, 1973-1976, Seattle, WA, 1994.

17. Butrym, A. Y., Y. Zheng, and O. A. Tretyakov, "Transient diffraction on a permittivity step in a waveguide: Closed-form solution in time domain ," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 7, 861-876, 2004.
doi:10.1163/156939304323105709

18. 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.

19. Geyi, W., "Time-domain theory of waveguide," Progress In Electromagnetics Research, Vol. 59, 267-297, 2006.

20. Butrym, A. Y. and B. A. Kochetov, "Time domain mode basis method for a waveguide with transverse inhomogeneous multi-connected cross-section. 1. The general theory of method," Radio Physics and Radio Astronomy, Vol. 14, No. 2, 162-173, 2009 (in Russian).

21. Butrym, A. Y. and B. A. Kochetov, "Time domain mode basis method for a waveguide with transverse inhomogeneous multi-connected cross-section. 2. Example of numerical implementation of the method," Radio Physics and Radio Astronomy, Vol. 14, No. 3, 266-277, 2009 (in Russian).

22. Dumin, A. N., "Radiation of transient localized waves from an open-ended coaxial waveguide with infinite flange," Telecommunications and Radio Engineering, Vol. 53, No. 6, 30-34, 1999.

23. Tretyakov, O. A. and A. N. Dumin, "Emission of nonstationary electromagnetic fields by a plane radiator," Telecommunications and Radio Engineering, Vol. 54, No. 1, 2-15, 2000.

24. Butrym, A. Y., Y. Zheng, A. N. Dumin, and O. A. Tretyakov, "Transient wave beam diffraction by lossy dielectric half space," Proc. 10th International Conference on Mathematical Methods in Electromagnetic Theory (MMET'04), 345-347, Dnipropetrovsk, Ukraine, Sept. 14-17, 2004.

25. Dumin, A. N., A. Y. Butrym, O. A. Tretyakov, V. A. Katrich, and O. A. Dumina, "Transient electromagnetic fields in unbounded space with inhomogeneous medium," Proc. 2nd International Workshop on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS'04), 104-106, Sevastopol, Ukraine, Sept. 19-22, 2004.

26. Borisov, V. V., "Electromagnetic field of a current with arbitrary time dependence distributed on the surface of a sphere," Radiophysics and Quantum Electronics, Vol. 19, No. 12, 1291-1298, 1976.
doi:10.1007/BF01034030

27. Borisov, V. V., "Nonperiodic electromagnetic fields in a sectoral horn," Radiotekhnika i Elektronika, Vol. 28, 450-460, Mar. 1983 (in Russian).

28. Borisov, V. V., "Excitation of nonperiodic fields in a conical horn," Radiotekhnika i Elektronika, Vol. 30, 443-447, Mar. 1985 (in Russian).

29. Borisov, V. V., Transients in Waveguides, 156, Publishing House of Leningrad State University, Leningrad, 1991 (in Russian).

30. Shlivinski, A. and E. Heyman, "Time-domain near-field analysis of short-pulse antennas | Part I: Spherical wave (multipole) expansion," IEEE Trans. Antennas Propag., Vol. 47, No. 2, 271-279, Feb. 1999.
doi:10.1109/8.761066

31. Tretyakov, O., A. Dumin, O. Dumina, and V. Katrich, "Modal basis method in radiation problems," Proc. Int. Conf. on Math. Methods in Electromagnetic Theory (MMET-2004), 312-314, Dnepropetrovsk, Ukraine, 2004.

32. Dumin, O. M., O. O. Dumina, and V. O. Katrich, "Propagation of spherical transient electromagnetic wave through radially inhomogeneous medium," Proc. Int. Conf. on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS-2006), 276-278, Sevastopol, Ukraine, Sept. 18-22, 2006.

33. Butrym, A. Y. and B. A. Kochetov, "Mode basis method for spherical TEM-transmission lines and antennas," Proc. Int. Conf. on Antenna Theory and Techniques (ICATT-2007), 243-245, Sevastopol, Ukraine, Sept. 17-21, 2007.

34. Butrym, A. Y., B. A. Kochetov, and M. N. Legenkiy, "Numerical analysis of simply TEM conical-like antennas using mode matching in time domain," Proc. 3rd European Conference on Antennas and Propagation (EuCAP 2009), Berlin, Germany, Mar. 23-27, 2009.

35. Spivak, M., Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus , HarperCollins, 1965.

36. Kochetov, B. A. and A. Y. Butrym, "Calculation of pulse wave propagation in a quasi-TEM line using mode expansion in time domain," Proc. 4th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS'08), 222-224, Sevastopol, Ukraine, Sept. 15-19, 2008.