Impedance matrix generation by using the fast matrix generation technique

The computation of impedance matrix for layered structures is time-consuming because each element requires the evaluation of quadruple integrals. To increase the efficiency, we propose a technique referred to as the fast matrix generation. In this method, conventional and rigorous numerical methods are still used for generating the impedance matrix elements that are associated with the near-field interactions, whereas a more efficient scheme is employed where the separation distance between basis and testing functions exceeds a threshold value. A significant saving in computation time, sometimes over 90%, can be achieved via the application of this approach, as is demonstrated by numerical results for a number of typical microwave circuits. © 2008 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 204–213, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24015

[1]  G. E. Howard,et al.  A closed-form spatial Green's function for the thick microstrip substrate , 1991 .

[2]  L. Alatan,et al.  Improving the numerical efficiency of the method of moments for printed geometries , 1994, Proceedings of IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting.

[3]  K. Michalski,et al.  Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. I. Theory , 1990 .

[4]  Lale Alatan,et al.  Analytical evaluation of the MoM matrix elements , 1996 .

[5]  Raj Mittra,et al.  Parametric interpolation of the moment matrix in surface integral equation formulation , 1999 .

[6]  Chi Hou Chan,et al.  Triangular-domain basis functions for full-wave analysis of microstrip discontinuities , 1993 .

[7]  M. I. Aksun.  A robust approach for the derivation of closed-form Green's functions , 1996 .

[8]  G. Ogucu.  A New Spatial Interpolation Algorithm to Reduce the Matrix Fill Time in the Method of Moments Analysis of Planar Microstrip Structures , 2007, IEEE Transactions on Antennas and Propagation.

[9]  Jianming Jin,et al.  Fast solution methods in electromagnetics , 1997 .

[10]  J. Mosig.  Arbitrarily shaped microstrip structures and their analysis with a mixed potential integral equation , 1988 .

[11]  A. Bouallegue,et al.  Fast and rigorous calculation method for MoM matrix elements in planar microstrip structures , 2000 .

[12]  Bo Zhang,et al.  Efficient evaluation of the [Z] matrix with method of moment in grounding analysis by using adaptive spatial sampling approach , 2006, IEEE Transactions on Electromagnetic Compatibility.

[13]  N. Kinayman,et al.  Efficient evaluation of spatial-domain MoM matrix entries in the analysis of planar stratified geometries , 2000 .