| More and more multilayered media structures are applied for monolithic microwave integrated circuits (MMIC) and microstrips and half-space background targets due to large increases in computing power and the development of a number of numerical techniques. The electromagnetic characteristic of multilayered media targets has attracted much more attention in engineering applications. For a long time, intensive investigations have been doing to analyze such problem rapidly and accurately in computational electromagnetics areas.Due to the importance of Green's function for multilayered media problems, the dissertation has detailedly derived out the spectral representations of the Green's functions. The spatial multilayered media Green's functions are evaluated by the discrete complex image method (DCIM) through using Sommerfeld identical equations. The derivations lay a good foundation for the efficient evaluation of Green's functions and the fast solving of integral equation.Some novel and efficient methods are proposed for half-space and multilayered media environment, the first method is high order approximation method for far field Green's function in the half space background; The second method we called far field surface wave fast multipole method is implemented in conjunction with the application of addition theorem for far field Green's function and the use of fast multipole method in multilayered media background. These methods provide veracity and validity for the electromagnetic scattering and radiation of multilayered media targets. In addition, these methods not only are applied in the investigation of half space targets, but also in the analysis of multilayered media microstrip circuits. The resulting these methods implementation indicates the accuracy and efficiency of the methods proposed in the dissertation. |