Multiscale Computations for the Maxwell-Schrodinger System in Heterogeneous Nanostructures

被引：1

作者：

Ma, Chupeng ^{[1
]}

Huang, Jizu ^{[2
]}

Cao, Liqun ^{[2
]}

Lin, Yanping ^{[1
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

[2] Chinese Acad Sci, LSEC, NCMIS,Acad Math & Syst Sci, Univ Chinese Acad Sci,Inst Computat Math & Sci En, Beijing 100190, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2020年 / 27卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Maxwell-Schrodinger system; homogenization; multiscale asymptotic method; Crank-Nicolson scheme; COUPLED MAXWELL; EQUATIONS; SIMULATION; MODEL;

D O I：

10.4208/cicp.OA-2019-0004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the multiscale computations for the Maxwell- Schrodinger system with rapidly oscillating coefficients under the dipole approximation that describes light-matter interaction in heterogeneous nanostructures. The multiscale asymptotic method and an associated numerical algorithm for the system are presented. We propose an alternating Crank-Nicolson finite element method for solving the homogenized Maxwell-Schodinger system and prove the existence of solutions to the discrete system. Numerical examples are given to validate the efficiency and accuracy of the algorithm.

引用

页码：1443 / 1469

页数：27

共 30 条

[11] A unified Hamiltonian solution to Maxwell-Schrodinger equations for modeling electromagnetic field-particle interaction [J].

Chen, Yongpin P. ;

Sha, Wei E. I. ;

Jiang, Lijun ;

Meng, Min ;

Wu, Yu Mao ;

Chew, Weng Cho .

COMPUTER PHYSICS COMMUNICATIONS, 2017, 215 :63-70

[12]

Cioranescu D, 1999, An introduction to homogenization

[13]

Davies J.H., 1998, PHYS LOW DIMENSIONAL

[14]

Fox M., 2010, OPTICAL PROPERTIES S, P396

[15] Resonant field enhancements from metal nanoparticle arrays [J].

Genov, DA ;

Sarychev, AK ;

Shalaev, VM ;

Wei, A .

NANO LETTERS, 2004, 4 (01) :153-158

[16] Dynamic optical response of an excitonic quantum dot studied by solving the self-consistent Maxwell-Schrodinger equations nonperturbatively [J].

Hellstrom, S. ;

Fu, Y. .

PHYSICAL REVIEW B, 2010, 82 (24)

[17]

Lopata K., 2009, J CHEM PHYS, V130, P1

[18] A numerical Maxwell-Schrodinger model for intense laser-matter interaction and propagation [J].

Lorin, E. ;

Chelkowski, S. ;

Bandrauk, A. .

COMPUTER PHYSICS COMMUNICATIONS, 2007, 177 (12) :908-932

[19] Maxwell-Schrodinger-Plasma (MASP) model for laser-molecule interactions: Towards an understanding of filamentation with intense ultrashort pulses [J].

Lorin, E. ;

Chelkowski, S. ;

Zaoui, E. ;

Bandrauk, A. .

PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (12) :1059-1071

[20]

Monk P., 2003, FINITE ELEMENT METHO

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