TY - GEN
T1 - Using the MoM impedance matrix interpolation with domain decomposition to increase computational efficiency of the wide-band performance evaluation of antennas
AU - Karwowski, A.
AU - Noga, A.
PY - 2010
Y1 - 2010
N2 - Full-wave analysis of antennas composed of arbitrarily arranged and shaped perfectly conducting wires and surfaces is usually accomplished via frequency domain (FD) electric-field integral equation (IE) technique combined with the Method-of-Moments (MoM) [1]. Evaluating performance of antenna over a broad frequency band may be a very time consuming process, since the approach needs that the matrix approximant to the integral equation must be set up and then solved repeatedly at many frequencies. Among the methods offering significant reduction of the computation time is the interpolation of MoM-generated impedance matrix, Z, of the structure. The idea is to compute and store Z at several relatively distant frequency nodes and then to compute its value at intermediate frequencies by interpolation [2], [3]. The method trades reduced computer CPU time for increased storage required for saving matrices at nodal frequencies, and this ultimately limits the size of structures that can be modeled within capabilities of typical desktop stations. Memory storage requirements can be decreased by reducing the order of the matrix being interpolated. In this context, two possible methods, both based upon domain decomposition, are analyzed in this paper: 1) partitioning Z into smaller blocks and then manipulating on these blocks, and 2) employing Physical Optics approximation directly relating the current sources in one subdomain to the sources in the remaining subdomain. The purpose of this paper is to outline the methods and initially examine/compare their features in wide-band performance evaluation of antennas. Although all partial concepts mentioned above are not fundamentally new, a combination of the impedance matrix interpolation technique with partitioning of Z together with the relevant implementation details seems to have a bit of novelty. Exemplary performance analysis of a circular helix antenna with a truncated-cone ground plane clearly demonstrates a great potential of the approach.
AB - Full-wave analysis of antennas composed of arbitrarily arranged and shaped perfectly conducting wires and surfaces is usually accomplished via frequency domain (FD) electric-field integral equation (IE) technique combined with the Method-of-Moments (MoM) [1]. Evaluating performance of antenna over a broad frequency band may be a very time consuming process, since the approach needs that the matrix approximant to the integral equation must be set up and then solved repeatedly at many frequencies. Among the methods offering significant reduction of the computation time is the interpolation of MoM-generated impedance matrix, Z, of the structure. The idea is to compute and store Z at several relatively distant frequency nodes and then to compute its value at intermediate frequencies by interpolation [2], [3]. The method trades reduced computer CPU time for increased storage required for saving matrices at nodal frequencies, and this ultimately limits the size of structures that can be modeled within capabilities of typical desktop stations. Memory storage requirements can be decreased by reducing the order of the matrix being interpolated. In this context, two possible methods, both based upon domain decomposition, are analyzed in this paper: 1) partitioning Z into smaller blocks and then manipulating on these blocks, and 2) employing Physical Optics approximation directly relating the current sources in one subdomain to the sources in the remaining subdomain. The purpose of this paper is to outline the methods and initially examine/compare their features in wide-band performance evaluation of antennas. Although all partial concepts mentioned above are not fundamentally new, a combination of the impedance matrix interpolation technique with partitioning of Z together with the relevant implementation details seems to have a bit of novelty. Exemplary performance analysis of a circular helix antenna with a truncated-cone ground plane clearly demonstrates a great potential of the approach.
UR - https://www.scopus.com/pages/publications/78349246360
U2 - 10.1109/APS.2010.5561076
DO - 10.1109/APS.2010.5561076
M3 - Conference contribution
AN - SCOPUS:78349246360
SN - 9781424449682
T3 - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
BT - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
T2 - 2010 IEEE International Symposium on Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting - Leading the Wave, AP-S/URSI 2010
Y2 - 11 July 2010 through 17 July 2010
ER -