A system of N dielectric layers imprinted with a transverse lattice of plan
ar metallic scatterers and stacked monolithically along the longitudinal di
rection of a rectangular waveguide is examined in this paper. This monolith
ically constructed photonic crystal exhibits valuable filtering properties.
The resulting optimized biters are inexpensive to fabricate because the bu
ilding block (printed layer) is ideal for mass production, The complete fil
ter contains no air gaps (monolithic) and can be modularly built up, or rec
onfigured, by simple stacking requiring no adhesives (modular). The filter
response is designed using our analytical expressions and fast software, as
well as using commercial software such as HFSS, A comparison of the two de
sign methods shows that our approach is five orders of magnitude faster tha
n HFSS and significantly reduces the memory requirements. Prototype measure
ments in the Ka-band show excellent agreement with predictions of our desig
n method. Optimized designs displaying reduced size, extremely flat passban
ds (0.25 dB), and great isolation (-100 dB) are also presented.