The correlative potential function and a new method for solving Maxwell equations

Abstract

This paper is a continuation of Paper [1].

• 1. A new potential ψ which is defined as the correlative potential is developed in this paper. The potential ψ is different from the classical scalar potential ϕ and the vector potential$A$ developed by Helmholtz. The new formulae of the solution of eqs.$\nabla \times \mathop f\limits^ \to = \mathop \infty \limits^ \to .\nabla \cdot \mathop f\limits^ \to = p$ are given in terms of ψ.

• 2. In the time-varying electromagnetic field, two new retarded potentials, the electric type retarded correlative potential ψe and the magnetic type retarded correlative potential ψe, which are distinct from the classical retarded potentials$A$ and ϕ, are used to solve Maxwell equations. The new formulae of solution of Maxwell equation are given in terms of ψe and ψm.

• 3. The methods for constructing a rotational field with given curl function (vorticity) is proposed.