Finite element computation of grating scattering matrices and application to photonic crystal band calculations

Dossou, K; Byrne, MA; Botten, LC

Finite element computation of grating scattering matrices and application to photonic crystal band calculations

Dossou, K

Byrne, MA Botten, LC

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Publication Type:: Journal Article
Citation:: Journal of Computational Physics, 2006, 219 (1), pp. 120 - 143
Issue Date:: 2006-11-20

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Field	Value	Language
dc.contributor.author	Dossou, K https://orcid.org/0000-0002-2342-8945	en_US
dc.contributor.author	Byrne, MA	en_US
dc.contributor.author	Botten, LC https://orcid.org/0000-0001-6471-6954	en_US
dc.date.issued	2006-11-20	en_US
dc.identifier.citation	Journal of Computational Physics, 2006, 219 (1), pp. 120 - 143	en_US
dc.identifier.issn	0021-9991	en_US
dc.identifier.uri	http://hdl.handle.net/10453/704
dc.description.abstract	We consider the calculation of the band structure and Bloch mode basis of two-dimensional photonic crystals, modelled as stacks of one-dimensional diffraction gratings. The scattering properties of each grating are calculated using an efficient finite element method (FEM) and allow the complete mode structure to be derived from a transfer matrix method. A range of numerical examples showing the accuracy, flexibility and utility of the method is presented. © 2006 Elsevier Inc. All rights reserved.	en_US
dc.relation.ispartof	Journal of Computational Physics	en_US
dc.relation.isbasedon	10.1016/j.jcp.2006.03.029	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Finite element computation of grating scattering matrices and application to photonic crystal band calculations	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	219	en_US
utslib.for	0205 Optical Physics	en_US
utslib.for	0105 Mathematical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	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	open_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	219	en_US

Abstract:

We consider the calculation of the band structure and Bloch mode basis of two-dimensional photonic crystals, modelled as stacks of one-dimensional diffraction gratings. The scattering properties of each grating are calculated using an efficient finite element method (FEM) and allow the complete mode structure to be derived from a transfer matrix method. A range of numerical examples showing the accuracy, flexibility and utility of the method is presented. © 2006 Elsevier Inc. All rights reserved.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/704