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Multipole Dirichlet-to-Neumann map method for photonic crystals with complex unit cells.
MedLine Citation:
PMID:  17621348     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The periodicity of photonic crystals can be utilized to develop efficient numerical methods for analyzing light waves propagating in these structures. The Dirichlet-to-Neumann (DtN) operator of a unit cell maps the wave field on the boundary of the unit cell to its normal derivative, and it can be used to reduce the computation to the edges of the unit cells. For two-dimensional photonic crystals with complex unit cells, each containing a number of possibly different circular cylinders, we develop an efficient multipole method for constructing the DtN maps. The DtN maps are used to calculate the transmission and reflection spectra for finite photonic crystals with complex unit cells.
Authors:
Shaojie Li; Ya Yan Lu
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Journal of the Optical Society of America. A, Optics, image science, and vision     Volume:  24     ISSN:  1084-7529     ISO Abbreviation:  J Opt Soc Am A Opt Image Sci Vis     Publication Date:  2007 Aug 
Date Detail:
Created Date:  2007-07-10     Completed Date:  2008-01-09     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9800943     Medline TA:  J Opt Soc Am A Opt Image Sci Vis     Country:  United States    
Other Details:
Languages:  eng     Pagination:  2438-42     Citation Subset:  -    
Affiliation:
Department of Mathematics, City University of Hong kong, Kowloon, Hong kong.
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