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Electromagnetic dyadic Green's function in cylindrically multilayered media

机译:圆柱多层介质中的电磁二进格林函数

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A spectral-domain dyadic Green's function for electromagnetic fields in cylindrically multilayered media with circular cross section is derived in terms of matrices of the cylindrical vector wave functions. Some useful concepts, such as the effective plane wave reflection and transmission coefficients, are extended in the present spectral domain eigenfunction expansion. The coupling coefficient matrices of the scattering dyadic Green's functions are given by applying the principle of scattering superposition. The general solution has been applied to the case of axial symmetry (n=0, n is eigenvalue parameter in /spl phi/ direction) where the scattering coefficients are decoupled between TM and TE waves. Two specific geometries, i.e., two- and three-layered media that are frequently employed to model the practical problems are considered in detail, and the coupling coefficient matrices of their dyadic Green's functions are given, respectively.
机译:根据圆柱矢量波函数的矩阵,推导了具有圆形横截面的圆柱多层介质中电磁场的频谱域二进格林函数。在当前的谱域特征函数扩展中,扩展了一些有用的概念,例如有效的平面波反射和透射系数。应用散射叠加原理给出了散射二进格林函数的耦合系数矩阵。通用解决方案已应用于轴向对称的情况(n = 0,n是沿/ spl phi /方向的特征值参数),其中散射系数在TM波和TE波之间解耦。详细考虑了两个特定的几何形状,即经常用于对实际问题进行建模的两层和三层介质,并分别给出了其二进格林函数的耦合系数矩阵。

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