Accurate computational method for solving electromagnetic wave

This paper studied in 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 evolutionary computing 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 studied the electromagnetic wave emitted by a magnetic dipole. On the curved surface that r and z is in a ratio of one to two, approximate calculations are performed. Choosing only the first fifteen terms, the relative errors of the approximate results and their exact value about z, r and ¿ component of electromagnetic wave are 0.0000284%, 0.0000025% and 0.0000030% respectively. It states that the theory, method and results possess certain theoretical meaning and great value of applying.