We have used laser-micromachined alumina substrates to build a three-d
imensional photonic band-gap crystal, The rod-based structure has a th
ree-dimensional full photonic band gap between 90 and 100 GHz. The hig
h resistivity of alumina results in a typical attenuation rate of 15 d
B per unit cell within the band gap. By removing material, we have bui
lt defects which can be used as millimeter-wave cavity structures. The
resulting quality (Q) factors of the millimeter-wave cavity structure
s were as high as 1000 with a peak transmission of 10 dB below the inc
ident signal. (C) 1995 American Institute of Physics.