相关位函数和求解Maxwell方程的新方法
The Correlative Potential Function and a New Method for Solving Maxwell Equations
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摘要: 本文是文[1]的继续. 一、本文引入了一个新的位函数φ——相关位函数φ.它与经典的Helmboltz的标位Φ和矢位不同.由φ,我们得到了求解方程组∇×=,∇·=P的新公式.二、在交变电磁场中,我们引入了两个新的滞后位函数:滞后相关电位φe和滞后相关磁位φm.这两个位函数不同于经典的滞后位A和Φ,由φe和φm,我们得到了求解Maxwell方程组的新公式.三、指出了构建具有给定旋度函数(旋涡)的涡旋场的方法.Abstract: This paper is a continuation of paper[1].1.A new potential φ which is defined as the correlative potential has been developed in this paper. The potential φ is different from the classical scalar potential φ and vector potential developed by Helmholtz. The new formulae of the solution of eqs.∇×=,∇·=P are given in terms of φ.2. In time varying electromagnetic field, two new retarded potentials,the electric-type retarded correlative potential ire and the magnetic-type retarded correlative potentia: φm, which are distinct from the classical retarded potentials and φ have been used to solve Maxwell equations, The new formulae of solution of Maxwell equation are given in terms of rye and φe and φm.
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[1] 李春宝,从给定的旋度函数和散度函数构造矢量场,应用数学和力学,2,5(1981).557-562. [2] Plosey,R.and R,E.Collie,Principles and Application of Electromagnetic Fields,McGraw-Hill Book Company,Inc.,New York,(1961),19.393.516. [3] Кочин,Н.Е.,Векморное Исчцсленце ц Начала Тензорносо Исчцоенця(1965),214. [4] Coffin,J.G.,hector Analysis(1911),160. [5] 复旦大学数学系编,《流体力学》.上海科学技术出版社(1960). [6] Popovic,B.D.,IEE Proc.,128,Part A.,1(Jan.1981),47. [7] Collie,R.E.,Field Theorg of Guided Waves,McGraw-Hill Book Company,Inc.,New York(1960).22. -
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