第33卷 第2期 红 外 技 术 Vol.33 No.2 2011 年 2 月 Infrared Technology Feb. 2011 85 一维多势垒结构准束缚态的 MATLAB 分析计算 王忆锋，唐利斌，岳 清 (昆明物理研究所，云南 昆明 650223) 摘要：一维多势垒结构的准束缚态可以通过计算其透射系数的状态来分析。根据势垒与势阱界面的连续性条件，将界面两侧的波函数展开为一个以矩阵方程描述的线性方程组，利用 MATLAB 提供的矩阵左除命令，即可获得多势垒结构的透射系数。给出了通用计算程序，介绍了计算结果正确性的判断技巧。该方法不需要花费较多精力编程，具有概念简单、使用方便、实用性强等特点。 关键词：多势垒结构；量子阱；超晶格；准束缚态；透射系数 中图分类号：O471.1 文献标识码：A 文章编号：1001-8891(2011)02-0085-07 MATLAB Analysis and Calculation of Quasi-Bound State in One-dimensional Multi-barrier Structure WANG Yi-feng，TANG Li-bin，YUE Qing (Kunming Institute of Physics, Kunming 650223, China) Abstract：The quasi-bound state of one-dimensional multi-barrier structure can be analyzed by calculation of behaviour of its transmission coefficient. According to the continuity conditions on the interface of potential barrier and potential well, the wave functions on the two sides of interface of potential well and potential barrier can be extended into a number of linear equations which can be expressed with a matrix equation and the transmission coefficient can be obtained with matrix left division command in MATLAB. The general computing code is presented in this paper and the techniques for judging the correctness of the computation results is described. It is concise in concept, convenient in operation, practical in universality and with little efforts in programming. Key words：multi-barrier structure，quantum well，superlattice，quasi-bound state，transmission coefficient 引言 半导体量子器件中的多势垒结构(multi-barrier structur