基于电场不连续边界条件的层状介质电磁格林函数计算

给出了适用于全空间层状模型偶极子源格林函数的去奇异性广义描述技术。过源平行于层界面设置一个虚界面，使相邻层界面限制的区域中电磁矢量势函数可以分解为TE模式和TM模式标量势函的叠加，且它们都满足齐次Helmhlotz方程，相应的解可以通过叠加上行波和下行波函数得到。源的奇异性被耦合到切向电磁场所满足的不连续边界条件上，并通过反射系数所描述的振幅递推关系延拓到其他任意层中，实现了全空间任意位置格林函数的计算。该思路被应用到VED源激发的海洋电磁模型数值模拟中，计算结果很好地反映了电磁场在海洋模型中的传播过程，验证了该技术思路的正确性。

Compute Green’s Function from Discontinuity of Tangential Electrical Fields Inside Source Contained Boundary

The authors introduce a method to generalize the computation of Green’s functions from primary sources buried in stratified earths. A fictitious interface paralleling to layer interfaces through source is inserted. This new interface makes all the electromagnetic vector potentials, which can be split into TE and TM modes, satisfy homogeneous Helmholtz equations, with up-and down-going wave functions as the solutions. The amplitudes of wave functions in any layer could be recursively calculated from the initial amplitudes in the layers bounding the fictitious interface, while the initial amplitudes can be related with the discontinuity of tangential electric field and continuity of tangential magnetic fields on the fictitious interface.The Green’s function in standard Hankel transform, transformed from these potentials, can then be estimated. The methodology was applied to calculating the E and H field from VED source in marine electromagnetic exploration. Numerical results demonstrate the feasibility and accuracy of the formulation.