Vol. 51

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2013-04-18

Propagation of Electromagnetic Waves Guided by the Anisotropically Conducting Model of a Tape Helix Supported by Dielectric Rods

By Natarajan Kalyanasundaram and Gnanamoorthi Babu
Progress In Electromagnetics Research B, Vol. 51, 81-99, 2013
doi:10.2528/PIERB13031804

Abstract

The practically important case of a dielectric-loaded tape helix enclosed in a coaxial perfectly conducting cylindrical shell is analysed in this paper. The dielectric-loaded tape helix for guided electromagnetic wave propagation considered here has infinitesimal tape thickness and infinite tape- material conductivity. The homogeneous boundary value problem is solved taking into account the exact boundary conditions similar to the case of anisotropically conducting open tape helix model [1,2]. The boundary value problem is solved to yield the dispersion equation which takes the form of the solvability condition for an infinite system of linear homogeneous algebraic equations viz., the determinant of the infinite-order coefficient matrix is zero. For the numerical computation of the approximate dispersion characteristic, all the entries of the symmetrically truncated version of the coefficient matrix are estimated by summing an adequate number of the rapidly converging series for them. The tape-current distribution is estimated from the null-space vector of the truncated coefficient matrix corresponding to a specified root of the dispersion equation.

Citation


Natarajan Kalyanasundaram and Gnanamoorthi Babu, "Propagation of Electromagnetic Waves Guided by the Anisotropically Conducting Model of a Tape Helix Supported by Dielectric Rods," Progress In Electromagnetics Research B, Vol. 51, 81-99, 2013.
doi:10.2528/PIERB13031804
http://jpier.org/PIERB/pier.php?paper=13031804

References


    1. Kalyanasundaram, N. and G. N. Babu, "Dispersion of electromagnetic waves guided by an open tape helix I," Progress In Electromagnetics Research B, Vol. 16, 311-331, 2009.
    doi:10.2528/PIERB09052608

    2. Kalyanasundaram, N. and G. N. Babu, Propagation of electromagnetic waves guided by an open tape helix, IEEE International Vacuum Electronics Conference, 185-186, Feb. 21-24, 2011.

    3. Kalyanasundaram, N. and G. N. Babu, "Perfectly conducting tape-helix model for guided electromagnetic wave propagation," IET Microwaves, Antennas & Propagation, Vol. 6, No. 8, 899-907, Jun. 7, 2012.
    doi:10.1049/iet-map.2011.0446

    4. Sensiper, S., Electromagnetic wave propagation on helical conductors, Sc.D. Thesis, Massachusetts Institute of Technology, Cambridge, Mar. 1951.

    5. Chodorov, M. and E. L. Chu, "Cross-wound twin helices for traveling-wave tubes," J. Appl. Phys., Vol. 26, No. 1, 33-43, 1955.
    doi:10.1063/1.1721859

    6. Watkins, D. A., Topics in Electromagnetic Theory, John Wiley & Sons, New York, 1958.

    7. Zhang, K. A. and D. Li, Electromagnetic Theory for Microwaves and Optoelectronics, 2nd Ed., Springer-Verlag, Berlin-Heidelberg, 2008.

    8. Basu, B. N., Electromagnetic Theory and Applications in Beam wave Electronics, World Scientific, Singapore, 1996.

    9. Jain, P. K. and B. N. Basu, "The inhomogeneous loading effects of practical dielectric supports for the helical slow-wave structure of a TWT," IEEE Transactions on Electron Devices, Vol. 34, No. 12, 2643-2648, Dec. 1987.
    doi:10.1109/T-ED.1987.23366

    10. Tien, P. K., Traveling-wave tube helix impedance, Proceedings of the IEEE, Vol. 41, No. 11, 1617-1623, Nov. 1953.

    11. McMurtry, J. B., "Fundamental interaction impedance of a helix surrounded by a dielectric and a metal shield," IEEE Transactions on Electron Devices, Vol. 9, No. 2, 210-216, 1962.
    doi:10.1109/T-ED.1962.14972

    12. Uhm, H. S., "Electromagnetic-wave propagation in a conducting waveguide loaded with a tape helix," IEEE Transactions on Microwave Theory and Techniques, Vol. 31, No. 9, 704-710, Sep. 1983.
    doi:10.1109/TMTT.1983.1131578

    13. D'Agostino, S., F. Emma, and C. Paoloni, "Accurate analysis of helix slow-wave structures," IEEE Transactions on Electron Devices, Vol. 45, No. 7, 1605-1613, 1998.
    doi:10.1109/16.701495

    14. Tsutaki, K., Y. Yuasa, and Y. Morizumi, "Numerical analysis and design for high-performance helix traveling wave tubes," IEEE Transactions on Electron Devices, Vol. 32, No. 9, 1842-1849, 1985.
    doi:10.1109/T-ED.1985.22207

    15. Kosmahl, H. G., G. M. Branch, and Jr., "Generalized representation of electric fields in interaction gaps of klystrons and traveling-wave tubes," IEEE Transactions on Electron Devices, Vol. 20, No. 7, 621-629, Jul. 1973.
    doi:10.1109/T-ED.1973.17713

    16. Chen, Q., Z. Wang, and H. Wu, The dispersion characteristics of vane loaded tape helix slow wave structure, International Conference on Microwave and Millimeter Wave Technology Proceedings, Beijing Vacuum Electronics Research Institute, Beijing, 1998.

    17. Chernin, D., T. M. Antonsen, Jr., and B. Levush, "Exact treatment of the dispersion and beam interaction impedance of a thin tape helix surrounded by a radially stratified dielectric," IEEE Transactions on Electron Devices, Vol. 46, No. 7, 1472-1483, Jul. 1999.
    doi:10.1109/16.772493

    18. Gilmour, A. S., Klystrons, Traveling Wave Tubes, Magnetrons, Cross-Field Amplifiers, Gyrotrons, Artech House, 2011.

    19. Katzenelson, Y., An Introduction to Harmonic Analysis, 3rd Ed., Cambridge University Press, 2004.

    20. Davidson, K. R. and A. P. Dosig, Real Analysis with Real Applications, Prentice-Hall, 2002.