导体球涂覆各向异性铁氧体介质电磁散射的解析解
The Analytical Solution to the Electromagnetic Scattering by an Anisotropic Ferrite-Coated Conducting Sphere
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摘要: 该文用球矢量波函数对各向异性铁氧体介质涂覆导体球的电磁散射解析解开展研究。各向异性铁氧体介质中电磁场的球矢量波函数解可表示成第一、二、三、四类球矢量波函数之和。根据球Bessel函数的性质，可以得出导体球涂覆各向异性铁氧体介质的球矢量波函数解析解。应用铁氧体与自由空间分界面上电磁场切向连续和在导体球面上切向电场等于零的边界条件以及球矢量波函数切向正交性质，可分别得出铁氧体介质中电磁场和散射场的展开系数。给出了平面波入射情况下的数值计算结果。该文的结果可应用于有关微波器件、天线以及目标特征的分析和计算。
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关键词:
- 球矢量波函数; 铁氧体; 各向异性
Abstract: The analytical solution of electromagnetic scattering to an anisotropic ferrite-coated conducting sphere by a plane wave is discussed in this paper. It is well known that the electromagnetic fields in three-dimensional ferrite medium and free space can be expressed into spherical vector wave functions of the first, second, third and fourth in ferrite anisotropic medium and isotropic medium. Applying the continue boundary condition of tangential component of electromagnetic fields in the interface between the ferrite anisotropic medium and free space, and the tangential electric field vanishing in the interface of the conducting sphere, the expansion coefficients of electromagnetic fields with spherical vector wave function in ferrite medium and the scattering fields in free space can be derived. The theoretic analysis and numerical result show that when the radius of conducting sphere approaches zero, the present method can be reduced to that of the homogeneous ferrite anisotropic medium. The present method can be applied to the analyses of related microwave devices, antennas and the character of radar targets. -
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