Localized Green's functions for a two-dimentional periodic material

Poulton, CG; McPhedran, RC; Nicorovici, NA; Botten, LC

Localized Green's functions for a two-dimentional periodic material

Poulton, CG McPhedran, RC Nicorovici, NA Botten, LC

Publisher:: Kluwer
Publication Type:: Chapter
Citation:: Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, 2003, 1, pp. 181 - 190
Issue Date:: 2003-01

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Field	Value	Language
dc.contributor.author	Poulton, CG	en_US
dc.contributor.author	McPhedran, RC	en_US
dc.contributor.author	Nicorovici, NA	en_US
dc.contributor.author	Botten, LC	en_US
dc.contributor.editor	Gladwell, GML	en_US
dc.date.issued	2003-01	en_US
dc.identifier.citation	Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, 2003, 1, pp. 181 - 190	en_US
dc.identifier.isbn	1-4020-1780-4	en_US
dc.identifier.uri	http://hdl.handle.net/10453/798
dc.description.abstract	We describe a method for the calculation of Green's functions for an array of dielectric cylinders. The method is to first construct quasi-periodic Greens functions, with Bloch vector kB. This function also obeys the appropriate electromagnetic boundary conditions on the surface of each cylinder. The Greens function for a single source in the array can then be calculated by averaging the quasi-periodic result over the Brillouin zone.	en_US
dc.publisher	Kluwer	en_US
dc.relation.ispartof	Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics	en_US
dc.relation.isbasedon	10.1007/1-4020-2604-8_18	en_US
dc.title	Localized Green's functions for a two-dimentional periodic material	en_US
dc.type	Chapter
utslib.location	Netherlands	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	0205 Optical Physics	en_US
utslib.citation.edition	1	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.edition	1	en_US
pubs.notes	OK in 2003 collection	en_US
pubs.place-of-publication	Netherlands	en_US

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Abstract:

We describe a method for the calculation of Green's functions for an array of dielectric cylinders. The method is to first construct quasi-periodic Greens functions, with Bloch vector kB. This function also obeys the appropriate electromagnetic boundary conditions on the surface of each cylinder. The Greens function for a single source in the array can then be calculated by averaging the quasi-periodic result over the Brillouin zone.

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http://hdl.handle.net/10453/798