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.

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

A new method for solving Maxwell equations of electromagnetic field in chiral media is presented By using this method, the problem of solving the non-divergence electromagnetic field in chiral media can be transformed into the problem for solving a scalar equation

An approach for solving maxwell equations of electromagnetic field in chiral media

A new method for solving electromagnetic field boundary value problem in chiral media is given in this paper, using this method,the boundary value problem of each wavefield equation derived by the wavefield decomposition method can be transformed into the boundary value problem of a scalar wave equation,the corresponding dyadic Green's function got by the dyadic Green's function eigenfunction expansion method can be got by a Green's function of scalar field

http://ieeexplore.ieee.org/iel5/8987/28528/01276804.pdf

A novel approach to the Dyadic Green's functions for chiral media

The non-divergence vector potential in M and N vector wave function space is respectively separated into a component each one can be expressed by a scalar function, and then the independent separative forms of the non-divergence vector potential and electromagnetic wave field in M and N vector wave function space is studied further

http://ieeexplore.ieee.org/iel5/8987/28528/01276772.pdf

The electromagnetic wave field in M and N vector wave function space

This paper gives electromagnetic wave field and irrotational field with proper degrees of freedom and the simplified expressions of dyadic Green's functions correspondence to electromagnetic wave field and irrotational field is deduced respectively.

A note on dyadic Green's function of electromagnetic field

Two conclusions have been achieved in this paper. Firstly, a formal solution of the equations\(\nabla \times \vec E = \vec \omega \),\(\nabla \cdot \vec E = P\) has been derived with different point of view from commonly known classical method developed by Helmholtz(1), (2), (3).

Li Chun-bao

Papers

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

To construct a vector field with given curl function and divergence function