Journal
WAVES IN RANDOM MEDIA
Volume 13, Issue 1, Pages 9-25Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0959-7174/13/1/302
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The two-dimensional Green tensor for two-dimensional photonic crystals, consisting of clusters of circular cylinders, of infinite length, is constructed using the exact theory of multipole expansions. On the basis of this Green tensor, the local density of states for both polarizations is calculated, showing how the density of states depends on the position inside the crystal. We include results for clusters with a waveguide, obtained by removing a line of cylinders, and a cavity, obtained by forming a localized defect.
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