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直接求得的复本征值方程的解作为精确解，由微扰理论得到的一级和二级近似结果与之进行了分析比较，结果表明微扰法是相当好的近似方法，它们给出了与精确值符合相当好的数值结果。分析结果还表明微扰法的二级近似结果对一级近似结果的修正很小，一级近似已可以给出足够精确的结果。
The solution to the complex eigenvalue equation obtained directly is compared with the first-order and second-order approximations obtained by the perturbation theory. The results show that the perturbation method is a fairly good approximation and they give The result is quite good with the exact value. The results of the analysis also show that the second-order approximation of the perturbation method corrects the first-order approximation very little, and the first-order approximation can give sufficiently accurate results.