We report an analysis of the operation of a new type of laser resonator wit
h two-dimensional distributed feedback from a photonic crystal. The gain me
dium consists of a 2-(4-biphenylyl)-5-(4-tert-butylphenyl)-1,3,4-oxadiazole
host doped with Coumarin 490 and DCM and is deposited on lithographically
patterned Si/SiO2 structures. Bragg reflections caused by the grating dimin
ish the group velocity of photons along some directions of crystallographic
symmetry to zero, and the resulting feedback gives rise to laser oscillati
ons. Dispersion relations for photons were calculated analytically and are
used to interpret the laser emission spectra. (C) 1999 American Institute o
f Physics. [S0003-6951(99)02001-X].