Modelling is presented of microstrip antenna arrays with an optimised 2D mu
lti-resolution method of moment (MRMoM). A Chui-Haar 2D multi-resolution ba
sis is used fur the expansion of surface currents, and a pseudo-Galerkin sc
heme is introduced to speed up the algorithm. It is shown that, for large s
tructures, the MRMoM generates sparse linear systems, which allows a signif
icant reduction of CPU time and memory storage. The optimisation of a physi
cal a priori criterion is presented. With this criterion, it is possible to
predict which elements of the generalised impedance matrix can be neglecte
d: thus for the first time the MoM matrix filling time is really reduced. T
he fast wavelet transform is also exploited for the computation of the non-
negligible matrix elements. Theoretical results involving microstrip antenn
a arrays are presented and compared with experiments.