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Analysis of electromagnetic scattering by arbitrary shaped anisotropic objects using combined field surface integral equation formulation.

机译:利用组合场表面积分方程公式分析任意形状的各向异性物体的电磁散射。

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摘要

An electromagnetic problem of scattering by anisotropic material objects is considered. The theoretical formulation is facilitated by field representation in terms of the vector and scalar potentials. Independent differential equations satisfied by the potentials are derived through the use of the Lorentz type gauge conditions. The superposition type integral solutions to the aforementioned equations are obtained, and eventually utilized to represent both the electric and the magnetic fields.;Finally, the formulation for completely arbitrary shaped three-dimensional anisotropic objects is presented. Integral equations are explicitly derived for a particular case of the anisotropic medium for which the constitutive tensor elements obey a specific relationship.;The resulting integral forms of the fields are applied to the solution of the boundary-value problem of an arbitrary shaped anisotropic body placed in a surrounding isotropic medium, which contains the sources of the external excitation. The enforcement of electromagnetic boundary conditions at the surface of the anisotropic scattering body leads to a set of two coupled combined-field surface integral equations in terms of unknown induced surface electric and magnetic currents. The solution of the integral equations is formulated numerically, employing the well known method of moments. The techniques developed here for the scattering problems involving arbitrary shaped anisotropic objects has an advantage over the volumetric methods in that it is simpler and more economical to implement numerically.
机译:考虑了各向异性材料物体散射的电磁问题。通过矢量和标量势的场表示法可以简化理论公式。电位满足的独立微分方程是通过使用Lorentz型规范条件得出的。得到了上述方程的叠加型积分解,并最终用于表示电场和磁场。最后,给出了完全任意形状的三维各向异性物体的公式。对于本构张量元素服从特定关系的各向异性介质的特定情况,明确推导了积分方程;所得的场积分形式应用于求解任意形状的各向异性物体的边值问题的解在周围的各向同性介质中,其中包含外部激发源。各向异性散射体表面上电磁边界条件的实施导致了一组两个未知的感应表面电流和磁流耦合的组合场表面积分方程。积分方程的解采用众所周知的矩量法以数字形式表示。这里针对涉及任意形状的各向异性物体的散射问题开发的技术具有优于体积方法的优势,因为在数值上实现起来更简单,更经济。

著录项

  • 作者

    Beker, Benjamin.;

  • 作者单位

    University of Illinois at Chicago.;

  • 授予单位 University of Illinois at Chicago.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 1988
  • 页码 164 p.
  • 总页数 164
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 遥感技术;
  • 关键词

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