We have studied the properties of spontaneous emission from a three-level a
tom embedded in a photonic crystal. Due to the anisotropic dispersion relat
ion, the density of states lacks singularity. The localized field can disap
pear and the diffusion field can become intense in some regions. This is di
fferent from that in the isotropic dispersion relation case. These properti
es are directly related to the relative positions of the two upper levels f
rom the band edge.