Vol. 29
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
0000-00-00
Theory of Gyroelectric Waveguides
By
, Vol. 29, 231-259, 2000
Abstract
Circular conducting waveguides filled with gyroelectric media are studied in this paper and the dyadic Green's functions in these waveguides are obtained for the first time. The electric and magnetic fields in the waveguide are expressed in terms of cylindrical vector wave function expansion. It is shown that each of the eigenmodes in the waveguide consists of two eigenwaves whose wave numbers can be determined by the characteristic equation. Dispersion relation is obtained by applying boundary conditions to the eigenmodes. Mode orthogonality is discussed before the orthogonal relations are formulated and then used to determine the expansion coefficients of electric and magnetic fields. The complete expansions of both the electric and the magnetic dyadic Green's functions are finally obtained. The calculated dispersion curves are depicted and discussed while effects of gyrotropy are shown.
Citation
S. Liu L.-W. Li M.-S. Leong T. S. Yeo , "Theory of Gyroelectric Waveguides," , Vol. 29, 231-259, 2000.
doi:10.2528/PIER00041801
http://www.jpier.org/PIER/pier.php?paper=0004181
References

1. Suhl, H. and L. R. Walker, "Topics in guided-wave propagation through gyromagnetic media: Part I — The completely filled cylindrical guide," Bell Syst. Tech. Journal, Vol. 33, 579-659, May 1954.
doi:10.1002/j.1538-7305.1954.tb02358.x

2. Allis, W. P., S. J. Buchsbaum, and A. Bers, Waves in Anisotropic Plasmas, MIT Press, Cambridge, Mass., 1963.

3. Toda, M., "Propagation in a solid state plasma waveguide in a transverse magnetic field," J. Phys. Soc. Japan, Vol. 19, 1126-1130, 1964.
doi:10.1143/JPSJ.19.1126

4. Hirota, R., "Theory of a solid state plasma waveguide in a transverse magnetic field," J. Phys. Soc. Japan, Vol. 19, 1130-1134, 1964.
doi:10.1143/JPSJ.19.1130

5. Collin, R. E., "Electromagnetic potentials and field expansions for plasma radiation in waveguide," IEEE Trans. Microwave Theory Tech., Vol. 12, 413-420, 1965.
doi:10.1109/TMTT.1965.1126021

6. Gabriel, G. J. and M. E. Brodwin, "The solution of guided waves in inhomogeneous anisotropic media by perturbation and variational methods," IEEE Trans. Microwave Theory and Techniques, Vol. 13, 364-370, May 1965.
doi:10.1109/TMTT.1965.1126001

7. Gabriel, G. J. and M. E. Brodwin, "Distinctions between gyroelectric and gyromagnetic media in rectangular waveguide," IEEE Trans. Microwave Theory and Techniques, Vol. 14, 292-293, June 1966.
doi:10.1109/TMTT.1966.1126252

8. Hirota, R. and K. Suzuki, "Propagation of waves in a bounded solid state plasma in transverse magnetic fields," J. Phys. Soc. Japan, Vol. 21, 1112-1118, 1996.
doi:10.1143/JPSJ.21.1112

9. Kuno, H. J. and W. D. Hershberger, "Microwave faraday effect and propagation in a circular solid-state plasma waveguide," IEEE Trans. Microwave Theory Tech., Vol. 15, 661-668, Dec. 1967.
doi:10.1109/TMTT.1967.1126564

10. Champlin, K. S., G. H. Glover, and D. E. O’Connor, "Plasmafilled waveguide with axial magnetization: I — Variational determination of normal modes," Journal of Applied Physics, Vol. 40, 3532-3538, Aug. 1969.
doi:10.1063/1.1658232

11. Champlin, K. S. and G. H. Glover, "““twist” modes in magnetoplasma- filled circular waveguides," IEEE Trans. Microwave Theory Tech., Vol. 18, No. 9, 566-570, Sept. 1970.
doi:10.1109/TMTT.1970.1127290

12. Hirota, R. and K. Suzuki, "Field distribution in a magnetoplasma- loaded waveguide at room temperature," IEEE Trans. Microwave Theory Tech., Vol. 18, No. 4, 188-195, Apr. 1970.
doi:10.1109/TMTT.1970.1127188

13. Uzunoglu, N. K., "Propagation in cylindrical dielectric waveguides with gyroelectric cores," IEE Proceedings: Part H, Vol. 128, No. 3, 164-167, June 1981.

14. Uzunoglu, N. K., P. G. Cottis, and J. G. Fikioris, "Excitation of electromagnetic waves in a gyroelectric cylinder," IEEE Trans. Ant. Prop., Vol. 33, No. 1, 90-95, Jan. 1995.
doi:10.1109/TAP.1985.1143471

15. Monzon, J. C., "Three-dimensional scattering by an infinite homogeneous anisotropic circular cylinder: A spectral approach," IEEE Transactions on Antennas & Propagation, No. 6, 670-682, June 1987.
doi:10.1109/TAP.1987.1144159

16. Tsalamengas, J. L. and N. K. Uzunoglu, "Radiation from a dipole near a general anisotropic layer," IEEE Transactions on Antennas & Propagation, Vol. 38, No. 1, 9-16, Jan. 1990.
doi:10.1109/8.43584

17. Shen, H.-M., "Plasma waveguide," Proceedings of SPIE - The International Society for Optical Engineering, Vol. 1226, 302-313, Int. Soc. for Optical Engineering, Bellingham, WA, USA, 1989.

18. Hu, B. J. and C. L. Ruan, "Plasma circular cylindrical waveguide in lossy material," International Journal of infrared & Millimeter Waves, Vol. 18, No. 5, 1015-1022, May 1997.
doi:10.1007/BF02678096

19. Hu, B. J. and C. L. Ruan, "Propagation properties of a plasma waveguide in an external magnetic field," Journal of Physics D — Applied Physics, Vol. 31, No. 17, 2151-2154, Sept. 7, 1998.
doi:10.1088/0022-3727/31/17/012

20. Takeda, S., "Propagation of waves through magnetized plasmas in waveguides," Japanese Journal of Applied Physics Part 2 — Letters, Vol. 33, No. 5B, L757-L759, May 15, 1994.

21. Ivanov, S. T. and N. I. Nikolaev, "Spectrum of electromagnetic waves in a planar gyrotropic plasma waveguide," Japanese Journal of Applied Physics Part 1 — Regular Papers Short Notes & Review Papers, Vol. 37, No. 9A, 5033-5038, Sept. 1998.
doi:10.1143/JJAP.37.5033

22. Erdmann, A., M. Shamonin, P. Hertel, and H. Dotsch, "Finite difference analysis of gyrotropic waveguides," Optics Communications, Vol. 102, No. 1-2, 25-30, Sept. 15, 1993.
doi:10.1016/0030-4018(93)90466-I

23. Pregla, R., "Method of lines for the analysis of multilayered gyrotropic waveguide structures," IEE Proceedings-H Microwaves Antennas & Propagation, Vol. 140, No. 3, 183-192, June 1993.
doi:10.1049/ip-h-2.1993.0028

24. Tai, C. T., Dyadic Green’s Functions in Electromagnetic Theory, 2nd edition, IEEE Press, Piscataway, New Jersey, 1994.

25. Habashy, T. M., S. M. Ali, J. A. Kong, and M. D. Grossi, "Dyadic Green’s functions in a planar stratified, arbitrarily magnetized linear plasma," Radio Science, Vol. 26, No. 3, 701-715, May–June 1991.
doi:10.1029/91RS00654

26. Barkeshli, S., "Electromagnetic dyadic Green’s function for multilayered symmetric gyroelectric media," Radio Science, Vol. 28, No. 1, 23-36, Jan.–Feb. 1993.
doi:10.1029/92RS01926

27. Ren, W., "Contributions to the electromagnetic wave theory of bounded homogeneous anisotropic media," Physical Rev. E, Vol. 47, No. 1, 664-673, Jan. 1993.
doi:10.1103/PhysRevE.47.664

28. Weiglhofer, W. S., "Dyadic Green’s function representation in electrically gyrotropic media," AEU, Archiv fur Elektronik und Ubertragungstechnik: Electronics and Communication, Vol. 47, No. 3, 125-130, May 1993.

29. Olyslager, F., "Time-harmonic two- and three-dimensional closed form Green’s dyadics for gyrotropic, bianisotropic, and anisotropic media," Electromagnetics, Vol. 17, No. 4, 369-386, July–Aug. 1997.
doi:10.1080/02726349708908546

30. Cottis, P. G., "Radiation in an unbounded gyroelectric medium," Journal of Electromagnetic Waves and Applications, Vol. 12, No. 2, 249-268, 1998.
doi:10.1163/156939398X00827

31. Liu, S., L. W. Li, M. S. Leong, and T. S. Yeo, "Dyadic Green’s function in a rectangular conducting waveguide filled with uniaxial anisotropic materials," Proceedings of Progress in Electromagnetics Research Symposium, PIERS 1999, Vol. 1 of 2, 421, National Central University, Chung-Li, Taiwan, Taipei, Taiwan, Mar. 22–26, 1999.

32. Liu, S., L. W. Li, T. S. Yeo, and M. S. Leong, "Arbitrary crosssectional cylindrical conducting waveguide filled with uniaxial anisotropic media: Electromagnetic fields and dyadic Green’s functions," Proceedings of The 1999 Asia-Pacific Microwave Conference (APMC’99), Vol. 2 of 3, 279-282, Singapore, Nov. 30–Dec. 3, 1999.

33. Liu, S., L. W. Li, M. S. Leong, and T. S. Yeo, "Rectangular conducting waveguide filled with uniaxial anisotropic media: A modal analysis and dyadic Green’s functions," Progress in Electromagnetics Research, Vol. 25, 111-130, 2000.
doi:10.2528/PIER99052501

34. McIsaac, P. R., "Mode orthogonality in reciprocal and nonreciprocal waveguides," IEEE Transactions on Microwave Theory & Techniques, Vol. 39, No. 11, 1808-1816, Nov. 1991.
doi:10.1109/22.97481

35. Engheta, N. and P. Pelet, "Orthogonality relations in chirowaveguides," IEEE Trans. Microwave Theory Tech., Vol. 38, No. 11, 1631-1634, 1990.
doi:10.1109/22.60009

36. Pathak, P. H., "On the eigenfunction expansion of the electric and magnetic field dyadic Green’s functions," IEEE Trans. Antennas Propagat., Vol. 31, No. 6, 837-846, Sept. 1983.
doi:10.1109/TAP.1983.1143151

37. Liu, S., L. W. Li, M. S. Leong, and T. S. Yeo, "Electromagnetic field and dispersion curves in circular conducting chirowaveguide," Proc. of the 1999 (2nd) International Conference on Computational Electromagnetics and Its Applications, 12-15, Beijing, China, Nov. 1–4, 1999.