TY - GEN
T1 - A study of the numerical accuracy between the matrix elements for a Marching-on-in-degree time domain and a frequency domain MoM
AU - Mei, Zicong
AU - Sarkar, Tapan K.
AU - Zhang, Yu
AU - Zhao, Xunwang
AU - Salazar-Palma, Magdalena
PY - 2013
Y1 - 2013
N2 - In a Marching-on-in-degree time domain solver based on a Galerkin implementation of the Method of Moments (MoM), it is observed that the matrix elements for the matrix to be inverted contain integrals that are similar to the ones encountered in a frequency domain MoM solver using the piecewise triangular patch basis functions. It is also observed that the error in the evaluation of the matrix elements involving these integrals are larger in the time domain than those involved in the frequency domain MoM solvers. The objective of this paper is to explain this dichotomy and how to improve upon them when using the triangular patch basis functions (RWG) for both the time and the frequency domain techniques. When the distance between the two triangular patches involved in the evaluation of the matrix elements, are close to each other or when the degree of the Laguerre polynomial in a MOD method is high, the integral accuracy will be compromised and the number of sampling points to evaluate the integrals need to be increased. Numerical results are presented to illustrate this point.
AB - In a Marching-on-in-degree time domain solver based on a Galerkin implementation of the Method of Moments (MoM), it is observed that the matrix elements for the matrix to be inverted contain integrals that are similar to the ones encountered in a frequency domain MoM solver using the piecewise triangular patch basis functions. It is also observed that the error in the evaluation of the matrix elements involving these integrals are larger in the time domain than those involved in the frequency domain MoM solvers. The objective of this paper is to explain this dichotomy and how to improve upon them when using the triangular patch basis functions (RWG) for both the time and the frequency domain techniques. When the distance between the two triangular patches involved in the evaluation of the matrix elements, are close to each other or when the degree of the Laguerre polynomial in a MOD method is high, the integral accuracy will be compromised and the number of sampling points to evaluate the integrals need to be increased. Numerical results are presented to illustrate this point.
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U2 - 10.1109/APS.2013.6710675
DO - 10.1109/APS.2013.6710675
M3 - Conference contribution
AN - SCOPUS:84894221297
SN - 9781467353175
T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
SP - 29
EP - 30
BT - 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013 - Proceedings
T2 - 2013 IEEE Antennas and Propagation Society International Symposium, APSURSI 2013
Y2 - 7 July 2013 through 13 July 2013
ER -