摘要
偏心介质柱的电磁散射是电磁探测过程中经常碰见的问题,传统上采用数值方法进行求解,为此,求取了其在线电流源激励下的解析解。通过采用模式匹配法,将模型的边界条件转化为矩阵方程,再由矩阵方程进一步得到偏心介质柱的电磁散射解析解。该解在实际模型计算中速度快,较传统方法提高了求解效率。通过与有限差分法得到的数值结果对比,得到的解析解与数值解高度一致,较前人文献结果更准确。该解析解不仅可用于线电流源激励下偏心介质柱电磁散射的快速计算,对半空间内柱状物体的电磁散射特性研究也有重要意义。
The electromagnetic scattering of eccentric dielectric cylinder is a common problem in electromagnetic detection.Conventionally the numerical method is used to solve it. This paper finds the analytic solution of electromagnetic scattering of eccentric dielectric cylinder under electric line source and improves computation efficiency. Utilizing mode-matching method,the boundary conditionsis reduced to a matrix equation,and the analytical solution can be obtained by solving it. In practice,this analytical solution improves the calculation efficiency than traditional methods,Compared to finite difference time domain( FDTD),this analytical solution has higher agreement with the numerical solution and more accurate than reported before. Not only can this analytical solution be used for fast compute of the electromagnetic scattering of eccentric dielectric cylinder with electric line source,but also has significance in study of scattering characteristics of the semi-space cylindrical object.
出处
《电子测量与仪器学报》
CSCD
北大核心
2018年第3期52-59,共8页
Journal of Electronic Measurement and Instrumentation
基金
安徽省公益性地质(科技)项目(皖国土资[2013]242))资助
关键词
线电流源
偏心介质柱
电磁散射
Graf加法定理
探地雷达
electric line source
eccentric dielectric cylinder
electromagnetic scattering
graf addition theorem
ground penetrating radar