Vol. 51
Latest Volume
All Volumes
PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2013-04-18
Propagation of Electromagnetic Waves Guided by the Anisotropically Conducting Model of a Tape Helix Supported by Dielectric Rods
By
Progress In Electromagnetics Research B, Vol. 51, 81-99, 2013
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
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.