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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2013-03-27
The Adi-FDTD Method Including Lumped Networks Using Piecewise Linear Recursive Convolution Technique
By
Fen Xia,

    Dr. Fen Xia

    School of Electronic and Information Engineering

    South China University of Technology

    China

    Homepage

Qing-Xin Chu,

    Prof. Qing-Xin Chu

    School of Electronic and Information Engineering

    South China University of Technology

    China

    Homepage

Yong-Dan Kong,

    Dr. Yong-Dan Kong

    School of Electronic and Information Engineering

    South China University of Technology

    China

    Homepage

Zhi-Yong Kang

    Dr. Zhi-Yong Kang

    School of Electronic and Information Engineering

    South China University of Technology

    China

    Homepage

Progress In Electromagnetics Research M, Vol. 30, 67-77, 2013
doi:10.2528/PIERM13012816 | Google Scholar

Abstract
The lumped network alternating direction implicit finite difference time domain (LN-ADI-FDTD) technique is proposed as an extension of the conventional ADI-FDTD method in this paper, which allows the lumped networks to be inserted into some ADI-FDTD cells. Based on the piecewise linear recursive convolution (PLRC) technique, the current expression of the loaded place can be obtained. Then, substituting the expression into the ADI-FDTD formulas, the difference equations including an arbitrary linear network are derived. For the sake of showing the validity of the proposed scheme, lumped networks are placed on the microstrip and the voltage across the road is computed by the lumped network finite difference time domain (LN-FDTD) method and LN-ADI-FDTD method, respectively. Moreover, the results are compared with those of obtained by using the circuital simulator ADS. The agreement among all the simulated results is achieved, and the extended ADI-FDTD method has been shown to overcome the Courant-Friedrichs-Lewy (CFL) condition.
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Citation
Fen Xia, Qing-Xin Chu, Yong-Dan Kong, and Zhi-Yong Kang, "The Adi-FDTD Method Including Lumped Networks Using Piecewise Linear Recursive Convolution Technique," Progress In Electromagnetics Research M, Vol. 30, 67-77, 2013.
doi:10.2528/PIERM13012816
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