环形赝谐势中二次谐波研究  

Study on second-harmonic generation with the ring-shapedpseudo-harmonic potential

作　　者：张粮成 李学超 ZHANG Liangcheng;LI Xuechao(College of Mechanics and Photoelectric Physics,Anhui University of Science and Technology,Huainan Anhui 232001,China)

机构地区：[1]安徽理工大学力学与光电物理学院,安徽淮南232001

出　　处：《阜阳师范大学学报（自然科学版）》2021年第2期26-30,共5页Journal of Fuyang Normal University:Natural Science

基　　金：国家自然科学基金(61775087,11674312,51702003);安徽省自然科学基金(1508085QF140,180805ME130);安徽省高校优秀青年人才支持计划(gxyqZD2018039)资助。

摘　　要：对环形赝谐势中二次谐波产生的影响进行了理论研究。在有效质量近似、迭代方法和密度矩阵理论基础上,得到了能级、波函数及二次谐波的表达式。环形赝谐势对二次谐波产生有显著影响。结果表明:二次谐波产生系数峰值随着化学势和无量纲参数的减小或赝谐势零点的增大而增大,化学势的增大二次谐波发生蓝移现象,而赝谐势零点增大发生红移现象。Second-harmonic generation(SHG)with three-dimensional ring-shaped pseudo-harmonic is theoretically investigated.Using iterative method,density matrix and effective mass approximation obtains energy levels,wave functions and second-harmonic of expression.Ring-shaped pseudo-harmonic potential has a significant effect on second-harmonic generation.Numerical analysis results:SHG coefficients of peak significantly increase with decrease chemical potential and parameter of the ring-shape potential or augment of zero point of the pseudo-harmonic potential.The second harmonic occurs blue shifted as the chemical potential enhance and the zero point of the pseudo-harmonic potential increasing takes place the red shift.

关 键 词：二次谐波产生 迭代方法 密度矩阵 波函数 蓝移 

分 类 号：TN304[电子电信—物理电子学]