導(dǎo)體球涂覆各向異性鐵氧體介質(zhì)電磁散射的解析解
The Analytical Solution to the Electromagnetic Scattering by an Anisotropic Ferrite-Coated Conducting Sphere
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摘要: 該文用球矢量波函數(shù)對各向異性鐵氧體介質(zhì)涂覆導(dǎo)體球的電磁散射解析解開展研究。各向異性鐵氧體介質(zhì)中電磁場的球矢量波函數(shù)解可表示成第一、二、三、四類球矢量波函數(shù)之和。根據(jù)球Bessel函數(shù)的性質(zhì)，可以得出導(dǎo)體球涂覆各向異性鐵氧體介質(zhì)的球矢量波函數(shù)解析解。應(yīng)用鐵氧體與自由空間分界面上電磁場切向連續(xù)和在導(dǎo)體球面上切向電場等于零的邊界條件以及球矢量波函數(shù)切向正交性質(zhì)，可分別得出鐵氧體介質(zhì)中電磁場和散射場的展開系數(shù)。給出了平面波入射情況下的數(shù)值計算結(jié)果。該文的結(jié)果可應(yīng)用于有關(guān)微波器件、天線以及目標(biāo)特征的分析和計算。
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關(guān)鍵詞:
- 球矢量波函數(shù); 鐵氧體; 各向異性
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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