量子电子学报2011，Vol.28Issue(4)：473-482,10.DOI:10.3969/j.issn.1007-5461.2011.04.015
用分数维空间方法研究量子阱中激子效应对三次谐波产生的影响
Exciton effects on third-harmonic generation in quantum wells via fractional-dimensional space approach
摘要
Abstract
Exciton effects on the third-harmonic generation in GaAs/A1GaAs infinite and finite square quantum wells are calculated within the framework of the fractional-dimensional space approach.The wave functions and bound energies are obtained as functions of spatial dimensionality and the dimension is a function of the well width.For an infinite confining potential the dimension (D) has a transition from the 3D limit to 2D limit when the well width decreases.However,in a finite well,when the well width decreases below a given value,the dimension increases.The analytical expression of the third-harmonic generation is described using the compact density method and the iterative procedure.The numerical results show that the third-harmonic generation coefficient with considering exciton effects is 40% greater than the one without considering exciton effects and it is very sensitively dependent on the exciton confinement.In addition,the smaller the relaxation constant is,the larger the third-harmonic generation will be.关键词
非线性光学/三次谐波/分数维空间/激子效应/量子阱Key words
nonlinear optics/third-harmonic generation/fractional-dimensional space/exciton effects/quantum wells分类
数理科学引用本文复制引用
于凤梅,李伟,郭康贤..用分数维空间方法研究量子阱中激子效应对三次谐波产生的影响[J].量子电子学报,2011,28(4):473-482,10.基金项目
Supported by Foundation for Distinguished Young Talents in Higher Education of Guangdong (LYM08068) and Science and Technology Plan Projects in Guangdong Province (2010A080802002,2010B080704002,2010B090400130) （LYM08068）
