2019-03-28
New TLM Formulation for Modeling Epstein Plasma
By
Progress In Electromagnetics Research Letters, Vol. 83, 59-64, 2019
Abstract
In plasma physics, the interaction with electromagnetic waves is related to the electrons contained in the plasma. So to analyze this interaction, the behaviour of electrons contained must be understood and modeled. In this paper, a new TLM formulation for dispersive media called the exponential time differencing (ETD) transmission line matrix (TLM) technique is introduced to model the interaction with dispersive media. To verify the high accuracy and efficiency of this method, the reflection and transmission coefficients of electromagnetic wave through a non-magnetized collisional plasma slab are computed and compared to the analytical solution. As the electron density in plasma can be distributed as Epstein formula, and its distribution is a function of the grads coefficient σ, and the effect of this parameter and the electron collision frequency νc on the reflection coefficient is calculated. The results show that with different values of σ and νc, the reflection coefficient is affected and can be reduced.
Citation
Yasser Ekdiha, Khalid Mounirh, Mohsine Khalladi, and Soufiane El Adraoui, "New TLM Formulation for Modeling Epstein Plasma," Progress In Electromagnetics Research Letters, Vol. 83, 59-64, 2019.
doi:10.2528/PIERL19020705
References

1. Johns, P. B., "A symmetrical condensed node for the TLM method," IEEE Trans. Microwave Theory Tech., Vol. 35, No. 4, 370-377, 1987.
doi:10.1109/TMTT.1987.1133658        Google Scholar

2. Hoefer, J. R., "The transmission line matrix method, theory and applications," IEEE Trans. Microwave Theory Tech., Vol. 33, No. 10, 882-893, 1985.
doi:10.1109/TMTT.1985.1133146        Google Scholar

3. Adraoui, E. S., K. mounirh, A. Zugari, M. Iben Yaich, and M. Khalladi, "Novel CDRC-TLM algorithm for the analysis of magnetized plasma," Optik --- International Journal for Light and Electron Optics, Vol. 125, No. 1, 276-279, 2014.
doi:10.1016/j.ijleo.2013.06.049        Google Scholar

4. Adraoui, E. S., A. Zugari, M. Bassouh, MI. Yaich, and M. Khalladi, "Novel PLRC-TLM algorithm implementation for modeling electromagnetic wave propagation in gyromagnetic media," I. J. Adv. Sci. Technol., Vol. 6, No. 1, 26-32, 2013.        Google Scholar

5. Yaich, I. M., M. Khalladi, I. Zekik, and J. A Morente, "Modeling of frequency-dependent magnetized plasma in hybrid symmetrical condensed TLM method," IEEE Microwave and Wireless Components Letters, Vol. 12, No. 8, 293-295, 2002.
doi:10.1109/LMWC.2002.802027        Google Scholar

6. Abrini, R., M. Iben Yaich, and M. Khalladi, "Efficient modeling of isotropic cold plasma media using JE-TLM method," IEICE Electron., Vol. 4, No. 15, 492-49, 2007.
doi:10.1587/elex.4.492        Google Scholar

7. Mounirh, K., S. El Adraoui, M. Charif, M. Khalladi, and M. Iben Yaich, "Modeling of anisotropic magnetized plasma media using PLCDRC-TLM method," Optik --- International Journal for Light and Electron Optics, Vol. 126, No. 1, 1479-1482, 2015.
doi:10.1016/j.ijleo.2015.04.032        Google Scholar

8. Yang, H., Y. Zhou, Y. Zan, and R. Chen, "SO-FDTD analysis of the plasma reflectance of Epstein distribution ," Plasma Science and Technology, Vol. 8, No. 6, 2013.        Google Scholar

9. Ekdiha, Y., K. Mounirh, S. El Adraoui, M. Khalladi, and M. Iben Yaich, "Analysis of Epstein distribution effect on the plasma reflectance," Proceedings of the 1st International Conference on Electronic Engineering and Renewable Energy, Springer, Saidia, 2018.        Google Scholar

10. Huang, Sh. J. and Y. Zhon, "Exponential time differencing FTDT formulation for plasma," Microwave and Optical Technology Letters, Vol. 49, No. 6, 1393-1364, 2007.        Google Scholar

11. Huang, Sh. J. and F. Li, "FTDT implementation for magnetoplasma medium using exponential time differencing," IEEE Microwave and Wireless Components Letters, Vol. 15, No. 3, 183-185, 2005.
doi:10.1109/LMWC.2005.844219        Google Scholar

12. Mounirh, K., S. El Adraoui, Y. Ekdiha, M. I. Yaich, and M. Khalladi, "Modeling of dispersive chiral media using the ADE-TLM method," Progress In Electromagnetics Research, Vol. 64, No. 10, 157-166, 2018.
doi:10.2528/PIERM17110103        Google Scholar

13. Yaich, M. I., M. Khalladi, I. Zekik, and J. A. Morente, "Modeling of frequency-dependent magnetized plasma in hybrid symmetrical condensed TLM method," IEEE Microwave and Wireless Components Letters, Vol. 12, No. 8, 293-295, 2013.
doi:10.1109/LMWC.2002.802027        Google Scholar

14. Becker, K. H., U. Kogelschatz, K. H. Schoenbach, and R. J. Barker, Non-equilibrium Air Plasmas at Atmospheric Pressure, Series in Plasma Physics, Nov. 2004.

15. Kocifaj, M., J. Klaka, F. Kundracik, and G. Videen, "Charge-induced electromagnetic resonances in nanoparticles," Annalen der Physik, Vol. 527, No. 11, 765-769, 2015.
doi:10.1002/andp.201500202        Google Scholar