The correlative potential function and a new method for solving Maxwell equations |
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Authors: | Li Chun-bao Wang Bai-suo |
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Institution: | Dalian Marine College, Liaoning, China |
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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 ψ and the vector potential A developed by Helmholtz. The new formulae of the solution of egs.▽xf=ω, ▽f=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 ψm, 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 ψ and ψm.3. The methods for constructing a rotational field with given curl function (vorticity) is proposed. |
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Keywords: | third order boundary value problem upper and lower solutions Volterra type integral operator existence and asymptotic estimates |
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