Alternating Iteration Method For Solving Monochromatic Electromagnetic Wave

This paper has studied solving monochromatic electromagnetic wave. Under such circumstances of axial symmetric and passive electromagnetic wave that is finite and differentiable on the symmetric axis, a new approximation theory and alternating iteration method are provided by using Maxwell equations. Out-of-axis electromagnetic wave can be expressed as series with the method. This series contains electromagnetic wave on the symmetric axis and its different order derivatives. Using the method, the electromagnetic wave emitted by an electric dipole has been studied. On the curved surface that r and z is in a ratio of one to three, approximate reasoning is performed. Choosing only the first seven terms, the relative errors of the approximate results and their exact value about z, r and phi component of electromagnetic wave are 0.0003123%, 0.0002763% and 0.0000775% respectively. It shows that the theory, method and results possess certain theoretical meaning and great value of applying