volume | PIER Journals

Abstract

Oscillation frequency in a plasma filled rectangular dielectric resonator antenna is computed. Perturbation method for solving differential equation is applied to find oscillation frequencies of dielectric cavity resonator. Equilibrium distribution function of collisionless Boltzmann equation is slightly perturbed. Distribution function of plasma is perturbed by altering external applied electromagnetic field. Perturbed Boltzmann equation satisfies with the relaxation time approximation used for the collision. The resulting Maxwell equations are subjected to appropriate boundary condition. Multilinear algebra tensor decomposition technique is done to find eigenfrequincies of cavity resonator antenna considered in this paper. A simulation study of a ionized gas plasma antenna is done on HFSS. Numerically calculated oscillation frequency is cross verified with HFSS result and found in good agreement.

1. Erden, F., "Evolutionary approach to solve an novel time-domain cavity problem," Journal of Latex Class Files, Vol. 14, No. 8, August 2015. Google Scholar

2. Yaduvanshi, R. S. and H. Parthasarathy, Rectangular Dielectric Resonator Antennas: Theory and Design, Springer, September 2015.

3. Epstein, I. L. and M. Gavrilovic, "The study of a homogeneous column of argon plasma at a pressure of 0.5 torr, generated by means of the Beenakker's cavity," The European Physical Journal D, 2014. Google Scholar

4. Moskvitinaa, Y. K. and G. I. Zaginaylova, "Effect of background plasma on electromagnetic properties of coaxial gyrotron cavity," Technical Physics, Vol. 59, No. 7, 1065-1071, 2014.
doi:10.1134/S1063784214070214 Google Scholar

5. Liu, S., Z. He, S. Cheng, and S. Y. Zhong, "Symplectic finite-difference time-domain scheme based on decomposition technique of the exponential operator for plasma media," IET Microwaves, Antennas and Propagation, Vol. 10, No. 2, 129-133, 2016.
doi:10.1049/iet-map.2015.0464 Google Scholar

6. Yuan, J. and G. Lin, "Design of compact circular resonator for electrodeless microwave plasma lamp," Electronics Letters, Vol. 49, No. 16, August 2013.
doi:10.1049/el.2013.1325 Google Scholar

7. Buchel, A., "Relaxation time of non-conformal plasma," Physics Letters B, 200-203, 2009.
doi:10.1016/j.physletb.2009.10.007 Google Scholar

8. Shuvalov, V. A. and A. I. Priimak, "A probe diagnostics for high-speed flows of rarefied partially dissociated plasma," Instruments and Experimental Techniques, Vol. 50, No. 3, 370-378, 2007.
doi:10.1134/S002044120703013X Google Scholar

9. Melrose, D. B., "Kinetic plasma physics," Swiss Society for Astrophysics and Astronomy, Vol. 24, 113-223, Springer, 1994. Google Scholar

10. Marsch, E., "Kinetic physics of the solar wind plasma," Physics and Chemistry in Space - Space and Solar Physics, Vol. 21, 1991. Google Scholar

11. Xiao, S. and Y. L. Mo, "Study of open cavity filled with plasma density grating," IEEE Transactions on Plasma Science, Vol. 27, No. 5, 1495-1500, October 1999.
doi:10.1109/27.799831 Google Scholar

12. Oleinik, A. M., "Dwell time in the excitation zone for particles blown into the plasma of a spark discharge,", 224-225, Consultants Bureau, a division of Plenum Publishing Corporation, 227 West-7th Street, New York, N. Y. 10011, 1972. Google Scholar

13. Yakimenko, I. P. and T. R. Kelner, "The natural frequencies of cylindrical cavities with a magnetoactive plasma," Radiophysics and Quantum Electronics, Vol. 10, No. 6, 815-824, 1967.
doi:10.1007/BF01089854 Google Scholar

14. Safari, S. and B. Jazi, "The plasma background effect on time growth rate of terahertz hybrid modes in an elliptical metallic waveguide with two electron beams as energy source," IEEE Transactions on Plasma Science, Vol. 44, No. 10, 2356-2365, October 2016.
doi:10.1109/TPS.2016.2599500 Google Scholar

15. Timofeev, A. V., "Time of relaxation in dusty plasma model," Journal of Physics: Conference, Series 653, 012137, 2015. Google Scholar

16. Singh, S. and M. V. Kartikeyan, "Full wave analysis of plasma loaded coaxial gyrotron cavity with triangular corrugations on the insert," IEEE Transactions on Electron Devices, Vol. 64, No. 5, 2369-2375, 2017.
doi:10.1109/TED.2017.2674676 Google Scholar

17. Singh, S. and M. V. Kartikeyan, "Analysis of plasma loaded conventional and coaxial cavity with wedge-shaped corrugations on the insert," IEEE Transactions on Electron Devices, Vol. 65, No. 6, 2614-2619, 2018.
doi:10.1109/TED.2018.2824340 Google Scholar

18. Bittencourt, J. A., Fundamentals of Plasma Physics, 3rd Ed., Springer International Addition, 2003.

19. Balanis, C. A., Antenna Theory: Analysis and Design, 2nd Ed., Wille Edition, 1938.

20. Francis, F. C., Introduction to Plasma Physics and Controlled Fusion, 2nd Ed., Springer International Addition, 1974.

21. Podolsky, V. and A. Semnani, "Experimental and numerical studies of a tunable plasma antenna sustained by RF power," IEEE Transactions on Plasma Science, Vol. 48, No. 10, 3524-3534, Oct. 2020.
doi:10.1109/TPS.2020.3023422 Google Scholar

22. Kalynov, Y. K. and A. V. Savilov, "Competition of oscillations at different cyclotron harmonics in the subterahertz large-orbit gyrotron," IEEE Transactions on Electron Devices, Vol. 67, No. 9, 3795-3801, Sept. 2020.
doi:10.1109/TED.2020.3009617 Google Scholar

23. Cohen, G. and M. Galperin, "Green's function methods for single molecule junctions," AIP, The Journal of Chemical Physics, Vol. 152, 090901, 2020.
doi:10.1063/1.5145210 Google Scholar

Dr. Pragya Shilpi

Professor Dharmendra Upadhyay

Professor Harish Parthasarathy