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A pseudospectral method for time-domain computation of electromagnetic scattering by bodies of revolution

机译:旋转体电磁散射时域计算的伪谱方法

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We present a multidomain pseudospectral method for the accurate and efficient time-domain computation of scattering by body-of-revolution (BOR) perfectly electrically conducting objects. In the BOR formulation of the Maxwell equations, the azimuthal dependence of the fields is accounted for analytically through a Fourier series. The numerical scheme in the (r,z) plane is developed in general curvilinear coordinates and the method of characteristics is applied for patching field values in the individual subdomains to obtain the global solution. A modified matched-layer method is used for terminating the computational domain and special attention is given to proper treatment of the coordinate singularity in the scattered field formulation and correct time-domain boundary conditions along edges. Numerical results for monochromatic plane wave scattering by smooth and nonsmooth axis-symmetric objects, including spheres, cone-spheres, and finite cylinders, is compared with results from the literature, illustrating the accuracy and computational efficiency associated with the use of properly constructed spectral methods. To emphasize the versatility of the presented framework, we compute plane wave scattering by a missile and find satisfactory agreement with method-of-moment (MoM) computations.
机译:我们提出了一种多域伪谱方法,用于通过旋转体(BOR)完美导电物体的散射进行准确,高效的时域计算。在麦克斯韦方程的BOR公式中,通过傅立叶级数解析地说明了磁场的方位角依赖性。 (r,z)平面中的数值方案是在一般曲线坐标系中开发的,并且采用特征方法对各个子域中的字段值进行修补以获得全局解。改进的匹配层方法用于终止计算域,并特别注意散射场公式中坐标奇异性的正确处理以及沿边缘的正确时域边界条件。将光滑和不光滑的轴对称对象(包括球体,圆锥球体和有限圆柱体)的单色平面波散射的数值结果与文献结果进行了比较,说明了使用正确构建的光谱方法所带来的准确性和计算效率。为了强调所提出框架的多功能性,我们计算了导弹的平面波散射,并与矩量法(MoM)计算找到了令人满意的一致性。

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