Two-Dimensional Green's Function and Local Density of States im Photonic Crystals Consisting of a Finite Number of Cylinders of Infinite Length

Asatryan, AA; Busch, K; McPhedran, RC; Botten, LC; de Sterke, CM; Nicorovici, NA

Two-Dimensional Green's Function and Local Density of States im Photonic Crystals Consisting of a Finite Number of Cylinders of Infinite Length

Asatryan, AA

Busch, K McPhedran, RC Botten, LC

de Sterke, CM Nicorovici, NA

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Publisher:: American Physical Society
Publication Type:: Journal Article
Citation:: Physical Review E, 2001, 63 (46612), pp. 1 - 4
Issue Date:: 2001-01

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Field	Value	Language
dc.contributor.author	Asatryan, AA https://orcid.org/0000-0003-1372-0413	en_US
dc.contributor.author	Busch, K	en_US
dc.contributor.author	McPhedran, RC	en_US
dc.contributor.author	Botten, LC https://orcid.org/0000-0001-6471-6954	en_US
dc.contributor.author	de Sterke, CM	en_US
dc.contributor.author	Nicorovici, NA	en_US
dc.date.issued	2001-01	en_US
dc.identifier.citation	Physical Review E, 2001, 63 (46612), pp. 1 - 4	en_US
dc.identifier.issn	1063-651X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/3500
dc.description.abstract	Using the exact theory of multipole expansions, we construct the two-dimensional Greens function for photonic crystals, consisting of a finite number of circular cylinders of infinite length. From this Greens function, we compute the local density of states ~LDOS!, showing how the photonic crystal affects the radiation properties of an infinite fluorescent line source embedded in it. For frequencies within the photonic band gap of the infinite crystal, the LDOS decreases exponentially inside the crystal; within the bands, we find ``hot and ``cold spots. Our method can be extended to three dimensions as well as to treating disorder and represents an important and efficient tool for the design of photonic crystal devices.	en_US
dc.publisher	American Physical Society	en_US
dc.relation.ispartof	Physical Review E	en_US
dc.relation.isbasedon	https://doi.org/10.1103/PhysRevE.63.046612	en_US
dc.title	Two-Dimensional Green's Function and Local Density of States im Photonic Crystals Consisting of a Finite Number of Cylinders of Infinite Length	en_US
dc.type	Journal Article
utslib.citation.volume	46612	en_US
utslib.citation.volume	63	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	closed_access
pubs.consider-herdc	true	en_US
pubs.issue	46612	en_US
pubs.volume	63	en_US

Abstract:

Using the exact theory of multipole expansions, we construct the two-dimensional Greens function for photonic crystals, consisting of a finite number of circular cylinders of infinite length. From this Greens function, we compute the local density of states ~LDOS!, showing how the photonic crystal affects the radiation properties of an infinite fluorescent line source embedded in it. For frequencies within the photonic band gap of the infinite crystal, the LDOS decreases exponentially inside the crystal; within the bands, we find ``hot and ``cold spots. Our method can be extended to three dimensions as well as to treating disorder and represents an important and efficient tool for the design of photonic crystal devices.

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http://hdl.handle.net/10453/3500