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本文基于积分方程法研究并建立了一种模拟横向同性介质中任意各向异性异常体三维电磁响应的高阶广义扩展Born近似(Ho-GEBA)算法.首先利用逐次迭代技术给出积分方程的广义级数展开解,为保证其收敛性,引入一种各向异性条件下满足压缩映射的迭代算子.然后利用异常体区域分解技术,并结合扩展Born近似原理,得到各向异性介质三维电磁响应的Ho-GEBA解.为提高效率,计算过程中采用并矢Green函数的解析表达式.最后通过数值计算实例对比验证了本文算法的有效性.
Based on the integral equation method, a high-order generalized extended Born approximation (Ho-GEBA) algorithm for simulating the three-dimensional electromagnetic response of an isotropic anisotropic body in a transversely isotropic medium is studied and established. Firstly, the generalized definition of the integral equation In order to ensure its convergence, an iterative operator that satisfies the contraction mapping under anisotropic conditions is introduced.And then, using the decomposition of the anomaly body and the extended Born approximation principle, the three-dimensional electromagnetic response of the anisotropic medium Ho-GEBA solution.In order to improve the efficiency, the analytical expression using the dyadic Green’s function in the calculation process is given.Finally, numerical examples are compared to verify the effectiveness of the proposed algorithm.