Abstract:
We discuss density of states functions for photonic crystals, in the context of the two-dimensional problem
for arrays of cylinders of arbitrary cross section. We introduce the mutual density of states (MDOS), and show
that this function can be used to calculate both the local density of states (LDOS), which gives position
information for emission of radiation from photonic crystals, and the spectral density of states (SDOS), which
gives angular information. We establish the connection between MDOS, LDOS, SDOS and the conventional
density of states, which depends only on frequency. We relate all four functions to the band structure and
propagating states within the crystal, and give numerical examples of the relation between band structure and
density of states functions.
