首次探讨了复合电磁同心球系统近轴方程的渐近解。推导了复合电磁同心球系统中近轴方程两个特解的渐近解中各类系数的表达式。通过复合电磁同心球系统两个特解精确解的验证, 证明了Monastyrski ［Journal of Technical Physics, 1978, 48(6): 1117-1122］提出的用渐近解求解成像电子光学近轴方程两个特解的方法正确且可行, 仅个别之处需要改进。

The asymptotic solutions of the paraxial equation for a combined electromagnetic concentric spherical system have been explored. Expressions of each kind of coefficients of two special solutions given by the asymptotic method for solving the paraxial equation have been deduced. By verifying the exact solution of two special solutions of the combined electromagnetic concentric spherical system, this paper proves that the approach based on asymptotic solutions given by Monastyrski ［Journal of Technical Physics, 1978, 48(6): 1117-1122］to solve the two special solutions of paraxial equation in electron optics is basically correct and feasible, and only a few aspects need to be improved.