Far-zone spectral isotropy in weak scattering on spatially random media
Far-zone spectral isotropy in weak scattering on spatially random media
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DOI：
10.1364/josaa.14.002820
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发表时间：
1997-10
影响因子：
1.9
通讯作者：
E. Wolf
中科院分区：
文献类型：
--
作者：
E. Wolf
研究的问题是多色平面波在空间随机物体上散射时产生的远场频谱是否在每个散射方向上都相同。结果表明，在第一玻恩近似的精度范围内，其充分条件是散射体介电磁化率的两点相关函数服从一定的标度律。此外，进一步表明，如果各向同性远区频谱与入射场的频谱相同，则散射体介电磁化率的二阶矩必定具有 1/f 噪声的形式，这在分形理论中是众所周知的。
The question is examined as to whether the spectrum of the far field produced on scattering of a polychromatic plane wave on a spatially random object can be the same in every direction of scattering. It is shown that within the accuracy of the first Born approximation a sufficiency condition for this to be so is that the two-point correlation function of the dielectric susceptibility of the scatterer obey a certain scaling law. It is further shown that if, in addition, the isotropic far-zone spectrum is the same as the spectrum of the incident field, the second moment of the dielectric susceptibility of the scatterer must have the form of a 1/f noise, well known in the theory of fractals.