SO-FDTD Analysis on Magnetized Plasma
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SO-FDTD Analysis on Magnetized Plasma Hongwei Yang & R. S. Chen & Yongchun Zhou
Received: 18 May 2006 / Accepted: 15 May 2007 / Published online: 13 July 2007 # Springer Science + Business Media, LLC 2007
Abstract In this paper, a novel finite-difference time-domain (FDTD) method with recursive relationships among operators is developed for magnetized dispersive medium, named as the shift operator FDTD(SO-FDTD). The dielectric property of magnetized dispersive medium is written as rational polynomial function, the relationship between D and E is deduced in time-domain. And its high accuracy and efficiency are verified by calculating the reflection and transmission coefficients of electromagnetic waves through a collision plasma slab. Keywords Magnetized plasma . Electromagnetic wave . FDTD method . Dispersive medium
1 Introduction The time-domain methods have been widely used to simulate the transient solutions of electromagnetic wave propagation in various medium including dispersive medium. Among these methods, the finite-different time-domain method (FDTD) is comparatively easy and effective. Over the last decade, there have been numerous investigations on FDTD formulations of dispersive medium. These include the recursive convolution (RC) method [1–3], the auxiliary differential equation (ADE) method [4–6], frequency-dependent Z transform method [7], piecewise linear recursive convolution (PLRC) method [8], JE convolution (JEC) method [9] and the piecewise linear JE recursive convolution (PLJERC) method [10]. In the analysis, the dielectric property of dispersive medium is a function of frequency. The constitutive relationships in dispersive medium are generally expressed in frequencydomain where convolution relations are in time-domain. So the FDTD is difficult to apply H. Yang (*) : R. S. Chen Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, People’s Republic of China e-mail: [email protected] H. Yang : Y. Zhou Department of Physics, Nanjing Agricultural University, Nanjing 210095, People’s Republic of China
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Int J Infrared Milli Waves (2007) 28:751–758
directly. From the definition of Z-transform, time-domain method existing in constitutive relations of dispersive medium, transform relationships among time-domain, frequencydomain and dispersive time-domain, and convolution theory are discussed. The recursive relationships between D and E in dispersive medium are deduced. All these mentioned above are given in reference [11]. In this paper, the intergradations of arithmetic operators between time-domain and dispersive time-domain, are obtained directly by introducing arithmetic operators in dispersive time-shift with the difference approximation method, therefore, the relative conceptions are concise and the results are obtained without using the Z-transform method. When frequency-domain constitutive relations are expressed as rational fractional functions, they should be transformed into time-domain, then dispersive time-domain, and thereby
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