CHOICES OF EXPANSION AND TESTING FUNCTIONS FOR THE METHOD OF MOMENTS APPLIED TO A CLASS OF ELECTROMAGNETIC PROBLEMS

It is well known that the choice of expansion and testing functions pl ays an important role in determining the rate of convergence of the in tegrals associated with the moment method matrix, and that an improper choice can lead to erroneous results. The main objective of this pape r is to critically examine this convergence issue and to provide crite ria for the choice of these expansion and testing functions. The quest ion of whether these functions need to satisfy the Holder condition is also investigated and the convergence behavior of the integrals invol ved in the spatial and spectral domain moment method is discussed for some representative expansion and testing functions.