Hamburg 2001 – wissenschaftliches Programm
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HL: Halbleiterphysik
HL 7: Poster I
HL 7.27: Poster
Montag, 26. März 2001, 10:30–19:00, Rang S\ 3
Green’s function and local density of states in finite-sized two-dimensional photonic crystals — •Kurt Busch1, Ara Asatryan2, Ross McPhedran2, Linday Botton3, Martijn de Sterke2, and Nicolae Nicorovici2 — 1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe — 2School of Physics, University of Sydney, NSW 2006, Australia — 3School of Mathematical Sciences, University of Technology, Sydney, NSW 2007, Australia
We construct the Green’s function for finite-sized two-dimensional photonic crystals, consisting of clusters of circular cylinders, using the exact theory of multipole expansions. From this Green’s function, we compute the local density of states (LDOS) showing how the photonic band gap is formed when the size of the clusters is increased and how the photonic crystal structure affects the radiation properties of a fluorescent line source embedded in it. For frequencies within the photonic bandgap of the infinite crystal the LDOS decreases exponentially inside the crystal, and we find “hot” and “cold” spots for frequencies within the photonic bands. We also obtain the total density of states. Our method can easily be extended to three dimensions as well as to treating disorder and transmission/reflexion problems and, therefore, represents an important tool for the design and characterization of photonic crystal devices.