Based on the piecewise linear recursive convolution (PLRC) technique, FDTD modeling of Arbitrary linear lumped networks is studied in this paper, including one-port networks and two-port networks. Their general FDTD iterative formulations are obtained. Firstly, the admittance parameters in Laplace domain of lumped network are written as a summation form of several rational fractions; then the time domain admittance parameters can be obtained by means of inverse Fourier transform technique. Finally the time domain results are directly incorporated into the Maxwell- Ampere's difference equation using the PLRC technique. It is worth pointing out that this approach preserves the second-order accuracy and the explicit nature of the conventional FDTD method. The proposed technique can be extended to model arbitrary linear multiport lumped networks. To show the validity of the proposed algorithm, we analyze two microstrip circuits including lumped networks. The results are compared with those obtained from the Z-transform technique and the good agreement is achieved.
"FDTD Modeling of Arbitrary Linear Lumped Networks Using Piecewise Linear Recursive Convolution Technique," ,
Vol. 73, 327-341, 2007. doi:10.2528/PIER07042002
2. Sui, W., D. A. Chirstensen, and C. H. Durney, "Extending the two-dimensional FDTD method to hybrid electromagnetic systems with active and passive lumped elements," IEEE Trans. Microwave Theory Tech., Vol. 40, No. 4, 724-730, 1992. doi:10.1109/22.127522
3. Piket-May, M., A. Taflove, and J. Baron, "FDTD modeling of digital signal propagation in 3-D circuits with passive and active lumped loads," IEEE Trans. Microwave Theory Tech., Vol. 42, No. 8, 1514-1523, 1994. doi:10.1109/22.297814
4. Kuo, C. N., R. B. Wu, B. Houshmand, and T. Itoh, "Modeling of microwave active devices using the voltage-source approach," IEEE Microwave Guided Wave Lett., Vol. 6, No. 5, 199-201, 1996. doi:10.1109/75.491504
5. Chu, Q. X., X. J. Hu, and K. T. Chan, "Models of small microwave devices in FDTD simulation," IEICE Trans. Electron., Vol. E86- C, No. 2, 120-125, 2003.
6. Kung, F. and H. T. Chuah, "Modeling a diode in FDTD," J. of Electromagnetic Waves and Appl., Vol. 16, No. 1, 99-110, 2002.
7. Kung, F. and H. T. Chuah, "Modeling of bipolar junction transistor in FDTD simulation of printed circuit board," Progress In Electromagnetics Research, Vol. 36, 179-192, 2002. doi:10.2528/PIER02013001
8. Kung, F. and H. T. Chuah, "A finite-difference time-domain (FDTD) software for simulation of printed circuit board (PCB) assembly," Progress In Electromagnetics Research, Vol. 50, 299-335, 2005. doi:10.2528/PIER04071401
9. Pereda, J. A., F. Alimenti, P. Mezzanotte, L. Roselli, and R. Sorrentino, "A new algorithm for the incorporation of arbitrary linear lumped networks into FDTD simulators," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 6, 943-949, 1999. doi:10.1109/22.769330
10. Sullivan, D. M., "Z-transform theory and the FDTD method," IEEE Trans. Antennas Propagat., Vol. 44, No. 1, 28-34, 1996. doi:10.1109/8.477525
11. Abdijalilov, K. and H. Grebel, "Z-transform theory and FDTD stability," IEEE Trans. Antennas Propagat., Vol. 52, No. 11, 2950-2954, 2004. doi:10.1109/TAP.2004.835267
12. Gonzalez, O., J. A. Pereda, A. Herrera, and A. Vegas, "An extension of the lumped-network FDTD method to linear two-port lumped circuits," IEEE Trans. Microwave Theory Tech., Vol. 54, No. 7, 3045-3051, 2006. doi:10.1109/TMTT.2006.877058
13. Kelley, D. F. and R. J. Luebbers, "Piecewise linear convolution for dispersive media using FDTD," IEEE Trans. Antennas Propag., Vol. 44, No. 6, 792-797, 1996. doi:10.1109/8.509882
14. Lee, J. Y., J. H. Lee, and H. K. Jung, "Linear lumped loads in the FDTD method using piecewise linear recursive convolution method," IEEE Microwave Wireless Compon. Lett., Vol. 16, No. 4, 158-160, 2006. doi:10.1109/LMWC.2006.872148