摘要
证明了矢量场的旋量场分量(横场)同无旋场分量(纵场)一样都可以用一个独立的标量函数与基矢的一定组合形式描述,并在此基础上证明了矢量方程组div(?)=P、curl(?)=(?)与二个标量 Poisson方程等效.本文还介绍了上述理论在Maxwell方程组简化解法中的应用.
It is proved that the curl field component of a vector field can be determined by a scalar
function and unit vector analogous to irrotational field. On the basis of this theorem two
scalar Poisson's equations equivalent to vector equations div F = P,curl F = Q are also
proved. The application results of the theory in sumplified solution for Maxwell's equations
are introduced.
关键词
电磁场
定理
推广
应用
Electromagnetic Field
Helmholtz Theorem
Maxwell's Equations
Transverse Field