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Spherical vector wave functions solution of electromagnetic scattering by a two-layered uniaxial anisotropic sphere

机译:两层单轴各向异性球的电磁散射的球面矢量波函数解

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摘要

The electromagnetic fields in spherical uniaxial anisotropic objects can be expressed as the sum of spherical vector wave functions of the first and second kind in uniaxial anisotropic media. Applying the tangential boundary conditions of electromagnetic fields at the interface between different uniaxial anisotropic media, the expansion coefficients of electromagnetic fields in a two-layered uniaxial anisotropic sphere and free space can be derived in terms of spherical vector wave functions. Then, the radar cross section (RCS) by a twolayered uniaxial anisotropic sphere can be obtained. Numerical results for some special cases are shown, and compared to those of the classical Mie theory, the method of moments (MoM) accelerated with the conjugategradient fast-Fourier-transform (CG-FFT) approach and finite-difference time-domain (FDTD) method.
机译:球面单轴各向异性物体中的电磁场可以表示为单轴各向异性介质中第一类和第二类球面矢量波函数之和。将电磁场的切向边界条件应用于不同的单轴各向异性介质之间的界面,可以根据球面矢量波函数推导两层单轴各向异性球体和自由空间中电磁场的膨胀系数。然后,可以获得由两层单轴各向异性球构成的雷达截面(RCS)。显示了一些特殊情况的数值结果,并且与经典Mie理论的数值结果相比,采用共轭梯度快速傅里叶变换(CG-FFT)方法和时域有限差分(FDTD)加速了矩量法(MoM) ) 方法。

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