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AXIALLY SYMMETRIC TRANSIENT ELECTROMAGNETIC FIELDS IN A RADIALLY INHOMOGENEOUS BICONICAL TRANSMISSION LINE

By B. A. Kochetov and A. Y. Butrym

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Abstract:
In the present paper a novel mathematical model of physical processes of transient electromagnetic waves excitation and propagation in a biconical transmission line with radially inhomogeneous magneto-dielectric filling is proposed. The model is based on time domain mode expansions over spherical waves. The basis functions of the mode expansions are calculated analytically. The mode expansion coefficients are governed by Klein-Gordon-Fock equation with coefficients depending on a radial spatial coordinate. The explicit finite difference time domain computational scheme is derived to calculate the mode expansion coefficients. Dependences of cutoff frequencies of higher modes of TE and TM waves on the line geometry and dielectric filling are studied. In order to calculate electromagnetic field in the line with higher accuracy, just finite number of terms in the mode expansions is required. Electromagnetic field excited by the transient electric ring current is calculated in both homogeneous and radially inhomogeneous biconical transmission line. It is shown that there is a possibility to increase the bandwidth of the line via introduction of partial dielectric filling without changing the line geometrical size.

Citation:
B. A. Kochetov and A. Y. Butrym, "Axially Symmetric Transient Electromagnetic Fields in a Radially Inhomogeneous Biconical Transmission Line," Progress In Electromagnetics Research B, Vol. 48, 375-394, 2013.
doi:10.2528/PIERB13011305

References:
1. Schantz, H., The Art and Science of Ultrawideband Antennas, Artech House Publishers, 2005.

2. McLean, J., U. Trucchi, J. Sivaswamy, and R. Sutton, "Development of a precision biconical antenna for broadband metrology applications," Proc. IEEE International Symposium on Electromagnetic Compatibility, 529-534, Washington, DC, USA, Aug. 21{25, 2000.

3. Palud, S., F. Colombel, M. Himdi, and C. L. Meins, "A novel broadband eighth-wave conical antenna," IEEE Transactions on Antennas and Propagation, Vol. 56, No. 7, 2112-2116, Jul. 2008.
doi:10.1109/TAP.2008.924775

4. Zhou, S.-G., J. Ma, J.-Y. Deng, and Q.-Z. Liu, "A low-profile and broadband conical antenna," Progress In Electromagnetics Research Letters, Vol. 7, 97-103, 2009.
doi:10.2528/PIERL09021602

5. Amert, A. K. and K. W. Whites, "Miniaturization of the biconical antenna for ultrawideband applications," IEEE Transactions on Antennas and Propagation, Vol. 57, No. 12, 3728-3735, Dec. 2009.
doi:10.1109/TAP.2009.2026667

6. Kudpik, R., N. Siripon, K. Meksamoot, and S. Kosulvit, "Design of a compact biconical antenna for UWB applications," Proc. International Symposium on Intelligent Signal Processing and Communications Systems (ISPACS), 1-6, Chiang Mai, Thailand, Dec. 7-9, 2011.

7. Tai, C. T., "On the theory of biconical antennas," Journal of Applied Physics, Vol. 19, 1155-1160, 1948.
doi:10.1063/1.1715036

8. Makurin, M. N. and N. P. Chubinskiy, "Calculation of properties of biconical antenna by the method of partial domains," Radiotekhnika i Electronika, Vol. 52, No. 10, 1199-1208, Oct. 2007 (in Russian).

9. 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), 1-4, Berlin, Germany, Mar. 23-27, 2009.

10. Legenkiy, M. N. and A. Y. Butrym, "Method of mode matching in time domain," Progress In Electromagnetics Research B, Vol. 22, 257-283, 2010.
doi:10.2528/PIERB10043003

11. Semenova, E. K. and V. A. Doroshenko, "Electromagnetic excitation of PEC slotted cones by elementary radial dipoles --- A semi-inversion analysis," IEEE Transactions on Antennas and Propagation, Vol. 56, No. 7, 1976-1983, Jul. 2008.
doi:10.1109/TAP.2008.924718

12. Doroshenko, V. A., A. P. Blishun, Y. D. Shimuk, and N. G. Zuev, "Singular integral equations method in mathematical modeling of specific open conical structure excitation," Proc. 8th International Conference on Antenna Theory and Techniques (ICATT 2011), 254-256, Kyiv, Ukraine, Sep. 20-23, 2011.

13. Mitrokhin, V. N. and A. Y. Polishchuk, "Eigenmodes of layered biconical waveguide," Bulletin of Moscow State Technical University, Vol. 4, No. 37, 80-89, Priborostroenie, 1999 (in Russian).

14. Mitrokhin, V. N. and A. Y. Polishchuk, "Electric dipole in a dielectric sphere," Antennas, Vol. 8, No. 54, 41-47, 2001 (in Russian).

15. Bey, N. A., V. N. Mitrokhin, and A. Y. Polishchuk, "Compact UWB antennas," Electrodynamics and Microwave Technology of UHF, EHF and Optical Frequencies, Vol. 10, No. 2(34), 154-159, 2002.

16. Tafove, A. and S. Hagness, Computational Eletrodynamics: The Finite-diĀ®erence Time-domain Method, 2nd Ed., Artech House, 2000.

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

18. Tretyakov, O. A., "Evolutionary waveguide equations," Radiotekhnika and Elektronika, Vol. 34, No. 5, 917-926, 1989 (in Russian).

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

20. Tretyakov, O. A., Analytical and Numerical Methods in Electromagnetic Wave Theory, 572, Science House Co, Ltd, Tokyo, 1993.

21. 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

22. 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.

23. Wen, G., "A time-domain theory of waveguide," Progress In Electromagnetics Research, Vol. 59, 267-297, 2006.
doi:10.2528/PIER05102102

24. 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.

25. 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).

26. 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).

27. Butrym, A. Y. and M. N. Legenkiy, "Charge transport by a pulse E-wave in a waveguide with conductive medium," Progress In Electromagnetics Research B, Vol. 15, 325-346, 2009.
doi:10.2528/PIERB09050703

28. Kochetov, B. A. and A. Y. Butrym, "Rigorous calculation of ultra short pulse propagation in a shielded microstrip line using coupled mode expansion in time domain," Proc. 6th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS'12), 284-287, Sevastopol, Ukraine, Sep. 17-21, 2012.

29. Tretyakov, O. A., "Mode basis method," Radiotekhnika and Elektronika, Vol. 31, No. 6, 1071-1082, 1986 (in Russian).

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

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

32. 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

33. 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

34. 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, 129-1298, 1976.
doi:10.1007/BF01034030

35. Shvartsburg, A. B., Impulse Time-domain Electromagnetics of Continuouse Media, Birkhauser Boston, Basel, Berlin, 1999.
doi:10.1007/978-1-4612-0773-3

36. 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.

37. 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, Sep. 18-22, 2006.

38. 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.

39. 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.

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

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

42. Butrym, A. Y. and B. A. Kochetov, "Mode basis method for spherical TEM-transmission lines and antennas," Proc. International Conference on Antenna Theory and Techniques (ICATT-07), 243-245, Sevastopol, 2007.

43. Butrym, A. Y. and B. 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

44. Kochetov, B. A. and A. Y. Butrym, "Transient wave propagation in radially inhomogeneous biconical line," Proc. 5th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS'10), 71-73, Sevastopol, Ukraine, Sep. 6-10, 2010.

45. Kochetov, B. A. and A. Y. Butrym, "About convergence of the spherical mode expansions in time domain," Radiophysics, and Electronics, No. 15, 41-44, No. 883, Bulletin of Karazin Kharkov National University, 2009 (in Russian).


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