Spectral-domain asymptotics for electromagnetic scattering from a point-source excitation target coated with a uniaxial electric anisotropic medium based on physical optics

Jingjing He, Siyuan He, G. Zhu
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Abstract

By combining the spectral-domain method and asymptotic technique, we developed a physical optics (PO) algorithm to determine the scattered electromagnetic field from the uniaxial electric anisotropic medium (UEAM) coating under point-source excitation. To realize the proposed algorithm, first, the spectral-domain solution of an infinite PEC plane coated with a UEAM layer under point-source incidence, such as a magnetic dipole, is computed. Simultaneously, the reflected, transmitted, and secondary scattered fields generated in this planar multilayer structure are analyzed in detail, describing the physical image of propagation process concerning varied modes of electromagnetic wave inside and outside the dielectric layer innovatively. Second, using the saddle point evaluation, the asymptotic calculation of the scattering for the infinite medium-coated plate is realized in the spatial domain. Third, based on the tangent plane approximation employed in the PO method, any discretized surface patch of the scatterer can be estimated as an infinite UEAM-coated PEC plate. Subsequently, we depict the outer surface of any scattered target as the constitution of countless tiny triangular facets to match this proposed method. Finally, the total scattered fields are obtained by the field superposition of the overall illuminated facets under point-source excitation. Compared with reference solution, the proposed method is validated, and the simulation results of the representative shapes coated with the UEAM layer from a point source are presented .
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基于物理光学的单轴电各向异性介质包覆点源激励目标电磁散射的谱域渐近性
将谱域法与渐近法相结合,提出了一种确定单轴电各向异性介质(UEAM)涂层在点源激励下散射电磁场的物理光学算法。为了实现所提出的算法,首先计算了点源入射(如磁偶极子)下包裹有UEAM层的无限PEC平面的谱域解。同时,对该平面多层结构中产生的反射场、透射场和二次散射场进行了详细分析,创新地描述了电磁波在介质层内外不同模式下传播过程的物理图像。其次,利用鞍点计算方法,在空间域内实现了无限介质涂覆板散射的渐近计算。第三,基于PO方法中采用的切平面近似,任意离散的散射体表面斑块都可以被估计为一个无限大的ueam涂层PEC板。随后,我们将任意散射目标的外表面描述为无数微小三角形面的组成,以匹配所提出的方法。最后,在点源激励下,对全照面进行场叠加,得到总散射场。通过与参考方案的比较,验证了所提方法的有效性,并给出了具有代表性的点源UEAM涂层形状的仿真结果。
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