Newton-ADE-FDTD Method for Oblique Incident Magnetized Time-varying Plasma

Authors

  • Hui Liu School of Electronic Information Engineering Anhui University, Hefei 230601, China
  • Li-Xia Yang School of Electronic Information Engineering Anhui University, Hefei 230601, China and Anhui Province Key Laboratory of Target Recognition and Feature Extraction, Lu’an 237000, China
  • Wei Chen School of Electronic Information Engineering Anhui University, Hefei 230601, China
  • Yong Bobio School of Electronic Information Engineering Anhui University, Hefei 230601, China

DOI:

https://doi.org/10.13052/2022.ACES.J.370102

Keywords:

Magnetized plasma, Finite difference time domain, The electromagnetic wave, Oblique incidence.

Abstract

In this paper, the Newtonian equation of motion describing the movement of electrons when electromagnetic waves propagate in a magnetized plasma is combined with the traditional auxiliary differential equation finite difference time domain (ADE-FDTD) method. The FDTD iterative formulas of transverse magnetic (TM) wave and transverse electric (TE) wave of the electromagnetic wave obliquely incident on the magnetized time-varying plasma plate are derived. The biggest difference between this method and the ordinary ADE-FDTD algorithm is the addition of the logarithmic derivative of the time-varying plasma electron density to calculate the current density, which is called the Newton-ADE-FDTD method. Through Example 1, the reflection coefficient of electromagnetic wave incident on the magnetization time-varying plasma plate was calculated, and the correctness of the improved algorithm was verified. At the same time, the Newton-ADE-FDTD algorithm is used to calculate the reflection coefficient of electromagnetic waves incident on the magnetized plasma-dielectric photonic crystal. The results show that different incident angles have a greater impact on the reflection coefficients of left-handed circularly polarized wave (LCP) and right-handed circularly polarizedwave (RCP).

Downloads

Download data is not yet available.

Author Biographies

Hui Liu, School of Electronic Information Engineering Anhui University, Hefei 230601, China

Hui Liu was born in Bozhou City, Anhui Province, China, in 1998. She received the B.S. degree in electronic information engineering from Hefei Normal University, Hefei, China, in 2020. She is currently working toward the master’s degree in electromagnetic field and microwave technology of electronic science and technology with the School of Electronic Information Engineering, Anhui University, Hefei, China.

Her current research interest is computational electromagnetism.

Li-Xia Yang, School of Electronic Information Engineering Anhui University, Hefei 230601, China and Anhui Province Key Laboratory of Target Recognition and Feature Extraction, Lu’an 237000, China

Li-Xia Yang was born in Ezhou, Hubei, China, in 1975. He received the B.S. degree in physics from Hubei University, Wuhan, China, in 1997, and the Ph.D. degree in radio physics from Xidian University, Xi’an, China, in 2007. Since 2010, he has been an Associate Professor with the Communication Engineering Department, Jiangsu University, Zhenjiang, China. From 2010 to 2011, he was a Postdoctoral Research Fellow with the Electro Science Laboratory (ESL), The Ohio State University, Columbus, OH, USA. From 2015 to 2016, he was a Visiting Scholar with the Institute of Space Science, The University of Texas at Dallas, Dallas, TX, USA. From 2016 to 2019, he has been a Professor, a Ph.D. Supervisor, and the Chairman of the Communication Engineering Department, Jiangsu University.

Since 2020, he has been a Distinguished Professor, a Ph.D. Supervisor, and the Vice Dean with the School of Electronic and Information Engineering, Anhui University, Hefei, China. His research interests include wireless communication technique, radio sciences, the computational electromagnetic, and the antenna theory and design in wireless communication systems. He is a member of the Editor Board of Radio Science Journal in China.

Wei Chen, School of Electronic Information Engineering Anhui University, Hefei 230601, China

Wei Chen was born in Jiangsu Province, China, in 1987. He received the B.S. and M.S. degrees from Jiangsu University, Jiangsu, China, in 2010 and 2013, respectively, and the Ph.D. degree from Xidian University, Xi’an, China, in 2018.

He is currently a Lecturer with the School of Electronics and Information Engineering, Anhui University, Hefei, China. His current research interests include numerical methods in electromagnetic scattering from plasma and wave propagation in complex systems.

Yong Bobio, School of Electronic Information Engineering Anhui University, Hefei 230601, China

Yong Bobio was born in Shandong Province, China, on November 11, 1989. He received the B.S. degree in Shandong University of Science and Technology, Qingdao, China, in 2012, and the Ph.D. degree from the Center for Information Geoscience, University of Electronic Science and Technology of China, Chengdu, China.

He is currently a Lecturer with the University of Anhui, Hefei, China. The main subjects of his interest include computational electromagnetic, wave propagation in plasmas, and low temperature plasma technology and application.

References

K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propagat., vol. 14, no. 3, pp. 302-307, 1966.

Kunz and R. Luebbers, The Finite Diference Time Domain Method for Electromagnetics, CRC, Boca Raton, FL, 1993.

A. Taflove and S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed., Artech House, Boston, MA, 2000.

F. Teixeira, W. Chew, M. Straka, M. Oristaglio, and T. Wang, “Finite-difference time-domain simulation of ground penetrating radar on dispersive, inhomogenous, and conductive soils,” IEEE Trans. Geosci. Remote Sensing, vol. 36, pp. 1928-1937, Nov. 1998.

L. H. Song, X. P. Li, and Y. M. Liu, “Effect of time-varying plasma sheath on hypersonic vehicle-borne Radar target detection,” IEEE Sensors Journal., vol. 21, no. 15, pp. 16880-16893,Aug. 2021.

J. Li, L.-X. Guo, Y.-C. Jiao, and R. Wang, “Composite scattering of a plasma-coated target above dispersive sea surface by the ADE-FDTD method,” IEEE Geoscience and Remote Sensing Letters, vol. 10, no. 1, pp. 4-8, 2013.

S. Liu, S. Liu, and S. Liu, “Finite-difference timedomain algorithm for plasma based on trapezoidarecursive convolution technique,” Journal of Infrared, Millimeter, and Terahertz Waves, 2010.

Z. Y. Wang, L. X. Guo, and J. T. Li, “Analysis of echo characteristics of spatially inhomogeneous and time-varying plasma sheath,” IEEE Transactions on Plasma Science., vol. 49, no. 6, pp. 1804-1811, Jun. 2021.

J. Chen, J. Tan, X. M. Yu, and H. Y. Shi, “Using WCS-FDTD method to study the plasma frequency selective surface,” IEEE Access., vol. 7, pp. 152473-152477, 2019.

M. Pourbagher and S. Sohafi, “A three dimensional FDTD algorithm for wave propagation in cold plasma media using forth-order schemes,” Applied Computational Electromagnetic Society (ACES) Journal, vol. 28, No. 12, pp. 1153-1161,Dec. 2013.

J. Cho, M. S. Park, and K. Y. Jung, “Perfectly matched layer for accurate FDTD for anisotropic magnetized plasma,” Journal of Electromagnetic Engineering And Science., vol. 20, no. 4, pp. 277-284, Oct. 2020.

L. J. Xu, and N. C. Yuan, “FDTD formulations for scattering from 3-D anisotropic magnetized plasma objects,” IEEE Antennas and Wireless Propagation Letters., vol. 5, pp. 335-338, 2006.

L. J. Xu, and N. C. Yuan, “JEC-FDTD for 2-D conducting cylinder coated by anisotropic magnetized plasma,” IEEE Antennas and Wireless Propagation Letters., vol. 15, no. 12, pp. 892-894,Dec. 2005.

Z. H. Qian, and R. S. Chen, “FDTD analysis of magnetized plasma with arbitrary magnetic declination,” International Journal of Infrared and Millimeter Waves., vol. 28, no. 2, pp. 157-167, Feb. 2007.

Q. Chen, M. Katsurai, and P. H. Aoyagi, “An FDTD formulation for dispersive media using a current density,” IEEE Trans. Antennas Propagat., vol. 46, pp. 1739–1745, 1998.

M. Okoniewski, M. Mrozowski, and M. Stuchly, “Simple treatment of multi-term dispersion in FDTD,” IEEE Microw. Guided Wave Lett., vol. 7, no. 5, pp. 121–123, May 1997.

D. F. Kelley and R. J. Luebbers, “Piecewise linear recursive convolution for dispersive media using FDTD,” IEEE Trans. Antennas Propagat., vol. 44, pp. 792–797, 1996.

F. Wang, D. B. Ge, and B. Wei, “SO-FDTD analysis of EM scattering of magnetized ferrite,” Acta Physice Sinice., vol. 58, pp. 6356–6362, 2009.

Y. Q. Zhang, and D. B. Ge, “An improved shift operator finite-difference time-domain method based on digital signal processing technique for general dispersive medium,” Acta Physice Sinice., vol. 58, pp. 8243–8248, 2009.

H. W. Yang, and Y. Liu, “SO-FDTD analysis on the stealth effect of magnetized plasma with Epstein distribution,” Optik., vol. 124, pp. 2037–2040,2013.

L. X. Yang, S. W. Zheng, and W. D. Shi, etal, Finite difference time domain method for electromagnetic properties of plasma medium and its application. Science Press, 2015, in China.

Downloads

Published

2022-05-04

How to Cite

[1]
H. Liu, L.-X. Yang, W. Chen, and Y. Bobio, “Newton-ADE-FDTD Method for Oblique Incident Magnetized Time-varying Plasma”, ACES Journal, vol. 37, no. 1, pp. 10–18, May 2022.