Frequency shift of sources embedded in finite two-dimensional photonic clusters

Publication Type:
Journal Article
Citation:
Waves in Random and Complex Media, 2006, 16 (2), pp. 151 - 165
Issue Date:
2006-05-01
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The frequency (Lamb) shift and local density of states (LDOS) in two-dimensional photonic crystals composed of a cluster of infinitely long circular cylinders is calculated classically using the radiation reaction mechanism. We investigate the frequency shift and LDOS as a function of the size of the cluster and show that, at the edges of the band gap, both quantities can be large and increase in magnitude with cluster size. We explain this in terms of poles of a scattering operator and also show that both the Lamb shift and LDOS are sensitive functions of the shape of the cluster.
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