This paper presents a novel algorithm for the analysis of quasi-optical fil
ters, consisting of thick metal screens perforated periodically with arbitr
arily shaped apertures. The algorithm is based on the widely used method of
moments (MoM) in conjunction with entire domain basis functions. Its flexi
bility, accuracy, and rapidity depend on the use of the Boundary Integral-R
esonant Mode Expansion (BI-RME) method in the numerical determination of th
e basis functions, A computer rode has been developed based on this algorit
hm, The analysis of two different quasi-optical filters operating at 8 GHz
and 280 GHz is reported and compared with experimental data as well as with
other simulations, In both cases, the whole analysis requires few seconds
on a standard work-station and the theoretical results show a very good agr
eement with the measured data in a wide frequency band. The capability of t
he MoM/BI-RME approach to handle completely arbitrary shapes is highlighted
in the second example. In this case, in fact, the fabrication process caus
es small deformations of the nominal shape of the apertures, which must be
accounted for, since they play an important role in the frequency response
of the filter.