Abstract:
We calculate the two-dimensional local density of states
(LDOS) for two-dimensional photonic crystals composed of a finite
cluster of circular cylinders of infinite length. The LDOS determines
the dynamics of radiation sources embedded in a photonic crystal. We
show that the LDOS decreases exponentially inside the crystal for frequencies
within a photonic band gap of the associated infinite array and
demonstrate that there exist "hot" and "cold" spots inside the cluster
even for wavelengths inside a gap, and also for wavelengths corresponding
to pass bands. For long wavelengths the LDOS exhibits oscillatory
behavior in which the local density of states can be more than 30 times
higher than the vacuum level.
