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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．
Inverse operator method is a new kind of non-numerical method for solving strong nonlinear problems. In this paper, we analyze the linearly-graded p-n junction using this method. Firstly, the analytical problems are expressed as one-dimensional nonlinear Poisson’s equations. Then the inverse operator method is used to solve the strong nonlinear ordinary differential equations. Mathematica software is used to derive the approximate analytic solution. The error analysis of the approximate solution is also given. The simulation results are more accurate and reliable, and the quantitative analysis of linearly graded p-n junctions is basically achieved, which helps to further study the physical mechanism of p-n junctions. This study shows that inverse operator method has some advantages. It will open up a new way for the numerical analysis of semiconductor devices.