应用逆算子方法定量分析线性缓变p－n结

逆算子方法是一类新的求解强非线性问题的非数值方法．本文采用此类方法分析线性缓变ｐ－ｎ结．先把分析问题表述为一维非线性Ｐｏｉｓｓｏｎ方程，再应用逆算子方法求解该强非线性常微分方程，并采用Ｍａｔｈｅｍａｔｉｃａ软件推导其近似解析解，还对求得的近似解作了误差分析研究．模拟计算结果较为精确、可靠，基本上实现了线性缓变ｐ－ｎ结的定量分析，有助于更深入地定量研究ｐ－ｎ结的物理机理．此项研究表明，逆算子方法具有一定的优越性，它将为半导体器件的数值分析开辟一条新的途径．

Quantitative Analysis of Linearly Graded p-n Junctions by the Inverse Operator Method

The inverse operator method(IOM) is a new nonnumerical method for solving the strongly nonlinear problems. It is used to analyze linearly graded p-n junctions. The analysis problems are formulated as one-dimensional nonlinear Poisson' s equations, and the IOM is used to solve these strongly nonlinear ordinary differential equations. By using the symbolic calculus software (Mathematica),the approximate analytic solutions are calculated. Also ,the error analysis for these approximate solutions is carried out. The simulated results are accurate and reliable,which has realized the quantitative analysis of linearly graded p-n junctions and will contribute to making a thorough study of p-n junctions. Our research results indicate that the IOM has some advantages,and that it will open up a new way for the numerical analysis of semiconductor devices.