Efficient and Accurate Computation of Electric Field Dyadic Green’s Function in Layered Media
Efficient and Accurate Computation of Electric Field Dyadic Green’s Function in Layered Media
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层状介质中电场并进格林函数的高效准确计算
DOI：
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发表时间：
2016
影响因子：
2.5
通讯作者：
W. Cai
中科院分区：
文献类型：
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作者：
M. H. Cho;W. Cai
本文导出了表示层状介质中偶极子源电场和磁场的并矢绿色函数的简明公式。首先，在频谱域的电场和磁场的半空间表示使用菲涅耳反射和透射系数。电场在谱域中的各个分量构成分层介质中的谱绿色函数。空间域中的绿色函数，然后恢复涉及索末菲积分的每个组件在光谱域中。通过使用贝塞尔恒等式，索末菲积分的数量减少，从而导致更简单和更有效的数值实现公式相比，以前的结果。将这种方法推广到三层绿色函数。此外，奇异部分的绿色的功能是自然分离出来，使自由空间绿色的功能开发的积分方程方法可以使用最小的修改。数值结果表明，所推导的公式的效率和准确性。
Concise and explicit formulas for dyadic Green’s functions, representing the electric and magnetic fields due to a dipole source placed in layered media, are derived in this paper. First, the electric and magnetic fields in the spectral domain for the half space are expressed using Fresnel reflection and transmission coefficients. Each component of electric field in the spectral domain constitutes the spectral Green’s function in layered media. The Green’s function in the spatial domain is then recovered involving Sommerfeld integrals for each component in the spectral domain. By using Bessel identities, the number of Sommerfeld integrals are reduced, resulting in much simpler and more efficient formulas for numerical implementation compared with previous results. This approach is extended to the three-layer Green’s function. In addition, the singular part of the Green’s function is naturally separated out so that integral equation methods developed for free space Green’s functions can be used with minimal modification. Numerical results are included to show efficiency and accuracy of the derived formulas.