Auxiliary Differential Equation FDTD Method of Plasma in Parallel Environment
- PDF / 222,308 Bytes
- 8 Pages / 439.37 x 666.142 pts Page_size
- 76 Downloads / 206 Views
Auxiliary Differential Equation FDTD Method of Plasma in Parallel Environment Xule Duan & Hong Wei Yang & Han Liu & Li An
Received: 26 October 2008 / Accepted: 3 April 2009 / Published online: 12 May 2009 # Springer Science + Business Media, LLC 2009
Abstract This paper introduces the peculiarity of a parallel ADE-FDTD method for plasma in dispersive media. We analyze the interaction between the EM wave of various frequencies and plasma using parallel FDTD method. Then, we compare results calculated with a serial and parallel FDTD implementations to obtain speed ratios, as well as validate the parallel implementaion. We conclude that the parallel ADE method implementation has almost the same precision as the serial implementation. The parallel approach facilitates using large memory, and reduces the CPU time. Keywords Electromagnetic wave . Plasma . Dispersive media . Parallel ADE-FDTD method
1 Introduction In 1966, K. S. Yee advanced Finite Difference Time Domain (FDTD) method which can solve the Maxwell’s equation directly in time domain [1]. It has been widely used in the simulation of electromagnetic wave propagation in various kinds of medium for decades. As computer technology advances, more and more researchers use FDTD method combined with computer technology, to deal with electromagnetic problems of complex models. A lot of new electromagnetic simulation of the FDTD method literatures appeared, including recursive convolution (RC) method [2], z-transform(ZT) method [3], auxiliary differential equation(ADE) method [4, 5], piecewise linear recursive convolution (PLRC) method [6], current density convolution (JEC) method [7], etc. Among of them, piecewise linear current density recursive convolution (PLJERC) method [8], alternating-directionimplicit (ADI) method [9], shift operator (SO) method [10, 11] and high-order finite difference time domain (HO-FDTD) method [12] are frequently applied during the last few years. Analyzing plasma-covered stealth targets using FDTD method leads to large-scale EM calculations that demand big amount of memory. Due to expensive super computer and X. Duan : H. W. Yang (*) : H. Liu : L. An Department of Physics, Nanjing Agricultural University, Nanjing 210095, People’s Republic of China e-mail: [email protected]
J Infrared Milli Terahz Waves (2009) 30:860–867
861
cluster-specific equipments, general scientific workers both face the problems of calculation efficiency and calculation scope, and difficulties for calculating. Therefore, it is rare to find literature on plasma modeling using parallel methods. Parallel FDTD method can be run on economical high-performance PC (Personal Computer) connected with LAN. Fulfilling large memory requirements using network technology can expand scope of applications of numerifcal simulation methods. In this paper, a parallel implementation of the ADE-FDTD method with second-order accuracy will be used in calculations of electromagnetic field in an iterative process. The interaction between electromagnetic wave and homogeneous nonma
Data Loading...
