This paper deals with transmission anomalies of freestanding two-dimensiona
l bandgap structures, which have found a large application range as filter
and guiding structures in communication systems and radioastronomical appli
cations in the far infrared region. The effect appears as a sharp breakdown
of the transmission factor in the passband of quadratic patch and slot str
uctures, first revealed by measurements. This paper outlines the numerical
confirmation of these effects by computer simulations based on the method o
f moments combined with the Floquet theorem. The transmission and reflectio
n behavior is examined for different structure geometries, frequency ranges
, angle, and polarization of the incident wave also revealing alternative s
tructures suppressing these effects. The modeling with electric and magneti
c currents allows the characterization of both patch and slot arrays. Final
ly, cross shaped structures are examined allowing the complete suppression
of this kind of anomalies.