P.H.Pathak,Wang Nan等人在研究典型问题几何绕射理论之后,于1981年发表了任意导电凸曲面振子天线高频电磁辐射一致性几何绕射理论近似解。本文应用并矢格林函数方法,通过典型曲面高频电磁辐射一致性近似解的研究和推广,导出了理想导电凸曲面上电、磁振子电磁辐射场在高频近似下一致性几何绕射理论近似解。与P.H.Pathak,Wang Nan等人的结果相比,主项并矢转移函数除个别系数外完全相同,高阶并矢转移函数在几何光学区略有差异。
A UTD (uniform geometrical theory of diffraction for electromagnetic waves) solution for the field excited by electric and (or) magnetic dipoles on a perfectly conducting cylinder is derived by DGF (dyadic Green s function) technique at first. Then, with the fundamental principle of high-frequency electromagnetic field, the character of geometrical optics and the differential geometry theory, a UTD solution for the radiation field of dipole on a perfectly conducting smooth convex surface is obtained by directly extending the results of the canonical problem. The formulae given in this paper agree primarily with that obtained by P. H. Pathak et al. (1981) except for some factors of dyadic transfer function in lit region. Some factors derived by P. H. Pathak are corrected.