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Multi-physical modeling and multi-scale computation of nano-optical responses
Bao, Gang1; Hu, Guanghui2; Liu, Di3; Luo, Songting4
2013
Conference Name8th International Conference on Scientific Computing and Applications
Source PublicationRECENT ADVANCES IN SCIENTIFIC COMPUTING AND APPLICATIONS
Volume586
Pages43-+
Conference DateAPR 01-04, 2012
Conference PlaceUniv Nevada, Las Vegas, NV
Author of SourceUNLV, Dept Math Sci
Publication PlaceAMER MATHEMATICAL SOC, P.O. BOX 6248, PROVIDENCE, RI 02940 USA
PublisherAMER MATHEMATICAL SOC, P.O. BOX 6248, PROVIDENCE, RI 02940 USA
Abstract

Our recent study of multi-physical modeling and multi-scale computation of nano-optical responses is presented in this paper. The semi-classical theory treats the evolution of the electromagnetic (EM) field and the motion of the charged particles concurently by coupling Maxwell equations with Quantum Mechanics. A new efficient computational framework is proposed (in Bao, Liu, and Luo, A maitiscaie method for optical responses of nano structures; and Bao, Liu, and Luo, Multi-scale modeling and computation of nano-opticalresponses) by integrating the Time Dependent Current Density Functional Theory (TD-CDFT), which leads to the coupled Maxwell-Kohn-Sham equations determining the EM field as well as the current and electron densities simultaneously. In the regime of linear responses, a self-consistent multi-scale method is proposed to deal with the well separated space scales. Related recent research on developing adaptive Finite Element Methods for the Kohn-Sham equation (Bao, Hu, and Liu (2012); Bao, Hu, and Liu (to appear)) is also discussed.

KeywordOptical Response Multiscale Methods Adaptive Methods Density Functional Theory Nanostructures
DOI10.1090/conm/586/11638
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000319240200005
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
2.Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
3.Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
4.Iowa State Univ, Dept Math, Ames, IA 50011 USA
Recommended Citation
GB/T 7714
Bao, Gang,Hu, Guanghui,Liu, Di,et al. Multi-physical modeling and multi-scale computation of nano-optical responses[C]//UNLV, Dept Math Sci. AMER MATHEMATICAL SOC, P.O. BOX 6248, PROVIDENCE, RI 02940 USA:AMER MATHEMATICAL SOC, P.O. BOX 6248, PROVIDENCE, RI 02940 USA,2013:43-+.
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