摘要
建立在均匀各向异性媒质球波函数上的简化波函数理论,是求解等离子体覆盖导体球的电磁散射的基础。该文通过将电磁场角谱积分表达式中的矢量平面波用并矢平面波展开,同时把k空间的θκ、φκ进行合理地离散化,可以将等离子体中的电磁场用简化波函数的有穷级数展开。应用等离子体与自由空间分界面上电磁场切向连续和在导体球面上切向电场等于零的边界条件以及球谐矢量的正交性,可得出等离子体介质中电磁场的展开系数和散射场的散射系数。
The simplified wave functions which established on the spherical wave functions for homogeneous anisotropic media are basic theory to deal with the electromagnetic scattering. Explicitly, expanding the vector plane waves via the dyadic plane wave expansion in the angular spectnnn representation of the electromagnetic fields and discretizating the ？ and ？ in space, we are able to expand the electromagnetic fields in anisotropic shell using the fi- nite summation of the simplified vector spherical wave functions. Applying the continue botmdary condition of tan-gential component of electromagnetic fields in the interface between the plasmas medium and free space, and the tangential electric field vanishing in the interface of the conducting sphere, and the orthogonal properties of vector spherical harmonic functions, the expansion coefficients of electromagnetic fields in plasmas medium and the scattering fields in free space can be derived.
基金
国家自然科学基金项目(60471011)
关键词
导体球
球矢量波函数
散射
等离子体
conducting sphere
spherical vector wave functions
scattering
plasmas medium
