Journal of Applied Sciences ›› 2005, Vol. 23 ›› Issue (1): 103-107.

• Articles • Previous Articles     Next Articles

An Approximate Expression of the Effective Permittivity in the Inhomogeneous Difference Unit Grid

BAO Xiu-long1, LI Zheng-fan1, SUN Xiao-wei2   

  1. 1. Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200030, China;
    2. The Institute of Microsystems and Information Technique, Chinese Academy of Science, Shanghai 200050, China
  • Received:2003-10-26 Revised:2004-01-06 Online:2005-01-31 Published:2005-01-31

Abstract: By applying the circuit concept of series-parallel connection of capacitance, the approximate formulae of effective permittivities along x, y, z axes for various inhomogeneous cell grids are obtained.These formulae are combined with the FDTD scheme and MRTD method of the arbitrary spatial grid to calculate the resonant frequency of resonance cavity under the condition of numerical stability.This method can save computing time and memory than the conventional FDTD method.These effective permittivities formulae are also applied in the difference method for other electromagnetic problems.

Key words: FDTD, inhomogeneous cell grid, effective permittivity, MRTD

CLC Number: