volume | PIER Journals

Abstract

The paper presents an analytical approach to treat the problem of transient oscillations in a cavity uniformly filled with nonstationary medium, which is characterized by time-varying permittivity and conductivity. Closed-form solutions are found for some transient excitations and medium parameters.

1. Khizhnyak, N. A., Integral Equations of Macroscopic Electrodynamics, Naukova Dumka, 1968 (in Russian).

2. Davydov, V. A., "On theory of the resonator with nonstationary filling," Radiotechnika i Elektronika, Vol. 27, 1291-1293, 1982 (in Russian). Google Scholar

3. Bondarev, V. P., "On stability of electromagnetic oscillation in the resonator, filled with non-stable medium," Proceedings of the Higher Educational Establishments ``Radiophysics", Vol. 29, 470-476, 1986 (in Russian). Google Scholar

4. Tretyakov, O. A., "The method of modal basis," Radiotechnika i Elektronika, Vol. 31, 1071-1082, 1986 (in Russian). Google Scholar

5. Tretyakov, O. A., "Essentials of nonstationary and nonlinear electromagnetic field theory," Analytical and Numerical Methods in the Electromagnetic Wave Theory, M. Hashimoto, M. Idemen, O. A. Tretyakov, Science House Co., Ltd., Tokyo, 1993. Google Scholar

6. Kuo, S. and A. Ren, "Experimental study of wave propagation through a rapidly created plasma," IEEE Trans. Plasma Sci., Vol. 21, 53-56, 1993.
doi:10.1109/27.221101 Google Scholar

7. Hagness, S. C., R. M. Joseph, and A. Taflove, "Subpicosecond electrodynamics of distributed Bragg reflector microlaser: Results from finite difference time domain simulations," Radio Sci., Vol. 31, 931-941, 1996.
doi:10.1029/96RS00436 Google Scholar

8. Nerukh, A. G. and K. M. Yemelyanov, "An interaction of electromagnetic field with a collapsing plasma layer," Proc. Euro Electromagnetics Conference (EUROEM-2000), Vol. 72, Edinburgh, UK, 2000. Google Scholar

9. Nerukh, A. G. and K. M. Yemelyanov, "An incidence of electromagnetic wave on a flat plasma layer," Rec. Abstracts of International Conf. on Plasma Science (ICOP-2000), 158, New Orleans, USA, 2000. Google Scholar

10. Jeong, Y. and B. Lee, "Characteristics of second-harmonic generation including third-order nonlinear interactions Quantum Electronics," JQE, Vol. 37, 1292-1300, 2001.
doi:10.1109/3.952541 Google Scholar

11. Nerukh, A. G., I. V. Scherbatko, and M. Marciniak, "Electromagnetics of modulated medium with applications to photonics," National Institute of Telecommunications, Warsaw, Poland, 2001. Google Scholar

12. Bondarev, V. P. and S. S. Samoylik, "Electromagnetic field of rectangular resonator, that includes nonstationary cylinder inhomogeneity," Radioelectronics Informatics Management, Vol. 2, 6-10, 2004 (in Russian). Google Scholar

13. Tretyakov, O. A. and F. Erden, "Temporal cavity oscillations caused by a wide-band waveform," Progress In Electromagnetics Research B, Vol. 6, 183-204, 2008.
doi:10.2528/PIERB08031222 Google Scholar

14. Ango, A., Mathematics for Electric and Radio Engineers, Nauka, 1965 (in Russsian).

15. Chumachenko, S. and O. A. Tretyakov, "Rotational mode oscillations in a cavity with a time-varying medium," Proceedings of 1998 International Conference on Mathematical Methods in Electromagnetic Theory, Vol. 1, 355-357, 1998. Google Scholar

Dr. Mariya S. Antyufeyeva

Professor Oleg Tretyakov