Computational Modeling of Optical Response from Excitons in a Nano OpticalMedium

作     者：Yuanchang Sun Hiroshi Ajiki Gang Bao 

作者机构：Department of MathematicsMichigan State UniversityEast LansingMI 48824USA Graduate School of Engineering ScienceOsaka University1-3 MachikaneyamaToyonaka 560-8531Japan 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2008年第4卷第10期

页      面：1051-1068页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The research of G.Bao and Y.Sun was supported in part by the NSF grants DMS-0604790 CCF-0514078,and EAR-0724527 the ONR grant N000140210365,and the National Sci-ence Foundation of China grant 10428105 

主　　题：Nano optics exciton modeling 

摘      要：Consider a time-harmonic electromagnetic plane wave incident on a microscopic *** the medium,at any given frequencyω,more than one polariton mode can arise with the same frequency but different wavenumbers due to the presence of *** Maxwell’s boundary conditions,additional boundary conditions are required to handle the multi-mode *** order to model the confinement effect of excitons in the microscopic semiconductor,Maxwell’s equations and the Schr¨odinger equation are coupled to characterize the polarization in terms of the quantum *** the weak confinement regime,we derive a perturbed dispersive dielectric constant by taking the exciton effect into *** also analyze and compute the optical linear response of the exciton in both one-dimensional and two-dimensional *** the one-dimensional case,the existence and uniqueness of the analytical solution are established in the resonance region.A finite difference method is developed to compute the two dimensional confinement.