Vol. 53

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2017-01-22

Analogy Between Circular Core-Cladding and Impedance Waveguides and Their Membrane Functions

By Vitalii I. Shcherbinin, Gennadiy Ivanovich Zaginaylov, and Viktor I. Tkachenko
Progress In Electromagnetics Research M, Vol. 53, 111-120, 2017
doi:10.2528/PIERM16110902

Abstract

One-side boundary conditions on the field inside core region are obtained for core-cladding waveguide with anisotropic cladding. The boundary conditions involve two functions acting as components of anisotropic surface impedance for cladding material. These functions are determined in relation to desired values for step-index waveguide and dielectric-lined waveguide with either perfectly or finitely conducting walls. With resulting surface impedance, the perfect analogy between core-cladding and impedance waveguide is achieved. Using this analogy, independent eigenvalue problems are obtained for membrane functions of HE and EH waves of core-cladding waveguide. From this result some conclusions about electromagnetic properties of HE and EH waves are drawn.

Citation


Vitalii I. Shcherbinin, Gennadiy Ivanovich Zaginaylov, and Viktor I. Tkachenko, "Analogy Between Circular Core-Cladding and Impedance Waveguides and Their Membrane Functions," Progress In Electromagnetics Research M, Vol. 53, 111-120, 2017.
doi:10.2528/PIERM16110902
http://jpier.org/PIERM/pier.php?paper=16110902

References


    1. Yeh, C. and F. I. Shimabukuro, The Essence of Dielectric Waveguides, 522, Springer Science+Business Media, LLC, New York, 2008.
    doi:10.1007/978-0-387-49799-0

    2. Chen, X., G. Liu, and C. Tang, "Novel dielectric photonic-band-gap resonant cavity loaded in a gyrotron," J. Phys. D: Appl. Phys., Vol. 43, No. 40, 405101, 2010.
    doi:10.1088/0022-3727/43/40/405103

    3. Huang, Y. J., K. R. Chu, and M. Thumm, "Self-consistent modeling of terahertz waveguide, and cavity with frequency-dependent conductivity," Physics of Plasmas, Vol. 22, No. 1, 013108, 2015.
    doi:10.1063/1.4905627

    4. Hong, B. B., L. P. Huang, X. L. Xu, Y. X. Xia, and C. J. Tang, "Hollow core photonic crystal for terahertz gyrotron oscillator," J. Phys. D: Appl. Phys., Vol. 48, No. 4, 045104, 2015.
    doi:10.1088/0022-3727/48/4/045104

    5. Choe, J. Y., H. S Uhm, and S. Ahn, "Analysis of the wide band gyrotron amplifier in a dielectric loaded waveguide," Journal of Applied Physics, Vol. 52, No. 7, 4508-4516, 1981.
    doi:10.1063/1.329378

    6. Uhm, H. S., J. Y. Choe, and S. Ahn, "Theory of gyrotron amplifier in a waveguide with inner dielectric material," Int. J. Electron., Vol. 51, No. 4, 521-532, 1981.
    doi:10.1080/00207218108901354

    7. Rao, S. J., P. K. Jain, and B. N. Basu, "Broadbanding of a gyro-TWT by dielectric-loading through dispersion shaping," IEEE Trans. Electron Devices, Vol. 43, No. 12, 2290-2299, 1996.
    doi:10.1109/16.544423

    8. Leou, K. C., D. B. McDermott, and N. C. Luhmann, "Large-signal characteristics of a wide-band dielectric-loaded gyro-TWT amplifier," IEEE Trans. Plasma Sci., Vol. 24, No. 3, 718-726, 1996.
    doi:10.1109/27.533073

    9. Rao, S. J., R. Jain, and B. N. Basu, "Two-stage dielectric-loading for broadbanding a gyro-TWT," IEEE Electron Device Letters, Vol. 17, No. 6, 303-305, 1996.
    doi:10.1109/55.496465

    10. Du, C.-H., Q. Z. Xue, and P.-K. Liu, "Loss-induced modal transition in a dielectric-coated metal cylindrical waveguide for gyro-traveling-wave-tube applications," IEEE Electron Device Letters, Vol. 29, No. 11, 1256-1258, 2008.
    doi:10.1109/LED.2008.2004635

    11. Du, C.-H. and P.-K. Liu, "Linear full-wave-interaction analysis of a gyrotron-traveling-wave-tube amplifier based on a lossy dielectric-lined circuit," IEEE Trans. Plasma Sci., Vol. 38, No. 6, 1219-1226, 2010.
    doi:10.1109/TPS.2010.2042622

    12. Du, C.-H. and P.-K. Liu, "Nonlinear full-wave-interaction analysis of a gyrotron-traveling-wave-tube amplifier based on a lossy dielectric-lined circuit," Physics of Plasmas, Vol. 17, No. 3, 033104, 2010.
    doi:10.1063/1.3339935

    13. Du, C. H., et al., "Design of a W-band gyro-TWT amplifier with a lossy ceramic-loaded circuit," IEEE Trans. Electron Devices, Vol. 60, No. 7, 2388-2394, 2013.
    doi:10.1109/TED.2013.2264100

    14. Yin, Y.-Z., "The cyclotron autoresonance maser with a large-orbit electron ring in a dielectric-loaded waveguide," Int. J. Infrared Millimeter Waves, Vol. 14, No. 8, 1587-1600, 1993.
    doi:10.1007/BF02096218

    15. Chu, K. R., A. K. Ganguly, V. L. Granatstein, J. L. Hirshfield, S. Y. Park, and J. M. Baird, "Theory of a slow wave cyclotron amplifier," Int. J. Electron., Vol. 51, No. 4, 493-502, 1981.
    doi:10.1080/00207218108901352

    16. Lin, A. T., W. W. Chang, and K. R. Chu, "Nonlinear efficiency and bandwidth of a slow wave cyclotron amplifier," Int. J. Infrared Millimeter Waves, Vol. 5, No. 4, 427-444, 1984.
    doi:10.1007/BF01010142

    17. Freund, H. P. and A. K. Ganguly, "Nonlinear analysis of the Cerenkov maser," Physics of Fluids B, Vol. 2, No. 10, 2506-2515, 1990.
    doi:10.1063/1.859515

    18. Ganguly, A. K. and S. Ahn, "Nonlinear theory of the slow-wave cyclotron amplifier," Phys. Rev. A, Vol. 42, No. 6, 3544-3554, 1990.
    doi:10.1103/PhysRevA.42.3544

    19. Vomvoridis, J. L. and M. A. Hambakis, "Non-linear analysis of the electron cyclotron maser with axial initial electron velocity," Int. J. Electron., Vol. 71, No. 1, 167-190, 1991.
    doi:10.1080/00207219108925467

    20. Iatrou, C. T. and J. L. Vomvoridis, "Microwave excitation and amplification using cyclotron interaction with an axial electron velocity beam," Int. J. Electron., Vol. 71, No. 3, 493-510, 1991.
    doi:10.1080/00207219108925495

    21. Vomvoridis, J. L. and C. T. Iatrou, "Linear fluid analysis of the electron cyclotron maser with axial initial electron velocity," Int. J. Electron., Vol. 71, No. 1, 145-165, 1991.
    doi:10.1080/00207219108925466

    22. Cho, Y.-H., D.-I. Choi, and J.-S. Choi, "Electromagnetic wave amplification of cyclotron Cherenkov maser," Optics Communications, Vol. 94, No. 6, 530-536, 1992.
    doi:10.1016/0030-4018(92)90600-V

    23. Cho, Y.-H., D.-I. Choi, and J.-S. Choi, "Cyclotron Cherenkov maser amplification using the anomalous Doppler effect," Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 331, No. 1, 572-576, 1993.
    doi:10.1016/0168-9002(93)90112-U

    24. Lee, C.-Y., R. Yamashita, and M. Masuzaki, "Linear analysis of cyclotron-cherenkov and cherenkov instabilities in dielectric-loaded coaxial waveguides," Int. J. Infrared Millimeter Waves, Vol. 18, No. 2, 519-535, 1997.
    doi:10.1007/BF02677937

    25. Zhao, D. and Y. Ding, "Cerenkov and cyclotron Cerenkov instabilities in a dielectric loaded parallel plate waveguide sheet electron beam system," Physics of Plasmas, Vol. 18, No. 9, 093107, 2011.
    doi:10.1063/1.3632973

    26. Zhao, D. and Y. Ding, "Nonlinear analysis of the dielectric loaded rectangular Cerenkov maser," Physics of Plasmas, Vol. 19, No. 2, 024508, 2012.
    doi:10.1063/1.3684241

    27. Zhao, D. and Y. Ding, "Simplified nonlinear theory of the dielectric loaded rectangular Cerenkov maser," Chin. Phys. B, Vol. 21, No. 9, 094102, 2012.
    doi:10.1088/1674-1056/21/9/094102

    28. Kong, L.-B., H.-Y. Wang, Z.-L. Hou, H.-B. Jin, and C.-H. Du, "The nonlinear theory of slow-wave electron cyclotron masers with inclusion of the beam velocity spread," Annals of Physics, Vol. 339, 588-595, 2013.
    doi:10.1016/j.aop.2013.05.008

    29. Khalilzadeh, E., A. Chakhmachi, and B. Maraghechi, "Effect of self-fields on the electron cyclotron maser instability in a dielectric loaded waveguide," The European Physical Journal D, Vol. 69, No. 11, 256, 2015.
    doi:10.1140/epjd/e2015-60254-9

    30. Shcherbinin, V. I., G. I. Zaginaylov, and V. I. Tkachenko, "HE and EH hybrid waves in a circular dielectric waveguide with an anisotropic impedance surface," Problems of Atomic Science and Technology. Plasma Electronics and New Methods of Acceleration, Vol. 98, 89-93, 2015.

    31. Mohsen, A. and M. Hamid, "Wave propagation in a circular waveguide with an absorbing wall," Journal of Applied Physics, Vol. 41, No. 1, 433-434, 1970.
    doi:10.1063/1.1658369

    32. Elsherbeni, A. Z., J. Stanier, and M. Hamid, "Eigenvalues of propagating waves in a circular waveguide with an impedance wall," IEE Proceedings H, Vol. 135, No. 1, 23-26, 1988.

    33. Koivisto, P. K., S. A. Tretyakov, and M. I. Oksanen, "Waveguides filled with general biisotropic media," Radio Science, Vol. 28, No. 5, 675-686, 1993.
    doi:10.1029/93RS00361

    34. Mahmoud, S. F., Electromagnetic Waveguides: Theory and Applications, 77-93, Peregrinus, London, 1991.
    doi:10.1049/PBEW032E

    35. Zhang, Q., T. Jiang, and Y. Feng, "Slow-light propagation in a cylindrical dielectric waveguide with metamaterial cladding," J. Phys. D: Appl. Phys., Vol. 44, No. 47, 475103, 2011.
    doi:10.1088/0022-3727/44/47/475103

    36. Atakaramians, S., A. Argyros, S. Fleming, and B. Kuhlmey, "Hollow-core waveguides with uniaxial metamaterial cladding: Modal equations and guidance conditions," J. Opt. Soc. Am. B, Vol. 29, No. 9, 2462-2477, 2012.
    doi:10.1364/JOSAB.29.002462

    37. Pollock, J. G. and A. K. Iyer, "Experimental verification of below-cutoff propagation in miniaturized circular waveguides using anisotropic ENNZ metamaterial liners," IEEE Trans. Microwave Theory Tech., Vol. 64, No. 4, 1297-1305, 2016.
    doi:10.1109/TMTT.2016.2532872

    38. Olver, P., Introduction to Partial Differential Equations, 123, Springer-Verlag, New York, 2014.
    doi:10.1007/978-3-319-02099-0

    39. Miyagi, M. and S. Kawakami, "Design theory of dielectric-coated circular metallic waveguides for infrared transmission," Journal of Lightwave Technology, Vol. 2, No. 2, 116-126, 1984.
    doi:10.1109/JLT.1984.1073590

    40. Dragone, C., "Reflection, transmission and mode conversion in a corrugated feed," The Bell System Technical Journal, Vol. 56, No. 6, 835-867, 1977.
    doi:10.1002/j.1538-7305.1977.tb00544.x

    41. Li, H. and M. Thumm, "Mode coupling in corrugated waveguides with varying wall impedance and diameter change," Int. J. Electron., Vol. 71, No. 5, 827-844, 1991.
    doi:10.1080/00207219108925527

    42. Li, H., F. Xu, and S. Liu, "Theory of harmonic gyrotron with multiconductors structure," Int. J. Electron., Vol. 65, No. 3, 409-418, 1988.
    doi:10.1080/00207218808945241

    43. Iatrou, C. T., S. Kern, and A. B. Pavelyev, "Coaxial cavities with corrugated inner conductor for gyrotrons," IEEE Trans. Microwave Theory Tech., Vol. 44, No. 1, 56-64, 1996.
    doi:10.1109/22.481385

    44. Shcherbinin, V. I., "Eigenmodes of a gyrotron cavity with anisotropic impedance surface," Proc. of 9th International Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, 1-4, Kharkiv, Ukraine, June 20-24, 2016.

    45. Dumbrajs, O. and G. S. Nusinovich, "Coaxial gyrotrons: Past, present and future (review)," IEEE Trans. Plasma Sci., Vol. 32, No. 3, 934-946, 2004.
    doi:10.1109/TPS.2004.829976

    46. Yeh, C. and G. Lindgren, "Computing the propagation characteristics of radially stratified fibers: An efficient method," Appl. Opt., Vol. 16, No. 2, 483-493, 1977.
    doi:10.1364/AO.16.000483

    47. Chou, R. C. and S. W. Lee, "Modal attenuation in multilayered coated waveguides," IEEE Trans. Microwave Theory Tech., Vol. 36, No. 7, 1167-1176, 1988.
    doi:10.1109/22.3652