Abstract: A new theoretical line of attack to solve the self- coordinated problem in charge particle optics is developed basing on the aberration theory and $tau@-variation technique. The self-coordinated problem is treated as initial-value problem for the evolution integro-differential equation which directly follows from the Lorentz equation with taking into account the space charge effects. The Coulomb potential of a beam is presented in the form of integral taken over the initial parameters domain, and the induced potential (the `mirror image' potential) is presented in the convolution form with a Green function satisfying the adjacent Fredholm integral equation of the first kind. Some considerations to numerical solution of the evolution equation obtained are applied.!4
展开▼
机译：摘要：在像差理论和$ tau @ -variation技术的基础上，开发了一条新的理论攻坚线来解决电荷粒子光学中的自协调问题。考虑到空间电荷效应，将自协调问题视为演化积分微分方程的初值问题，该积分方程直接从洛伦兹方程得到。光束的库仑电势以积分形式表示，并覆盖初始参数域，感应电势（“镜像”电势）以卷积形式表示，其中格林函数满足该函数的相邻Fredholm积分方程。第一种。对获得的演化方程的数值解进行了一些考虑。！4
展开▼
