Solimene Raffaele, Maisto Maria Antonia, Pierri Rocco
J Opt Soc Am A Opt Image Sci Vis. 2013 Nov 1;30(11):2266-72. doi: 10.1364/JOSAA.30.002266.
The singular value decomposition of the far-zone scattering operator for weak strip-like scattering objects is studied under multiple view and/or multiple frequency illuminations. The aim is to highlight how such diversities impact the number of degrees of freedom (NDF) of the scattering problem. When the angles of incidence and/or frequencies vary within discrete finite sets, the singular values are analytically determined. It is shown that they exhibit a multistep behavior. For the continuous case, upper and lower bounds are found, which allows us to obtain estimations for the NDF dependending on the parameters of the configuration.
研究了在多视角和/或多频率照明下，弱带状散射体远场散射算子的奇异值分解。目的是突出这些多样性如何影响散射问题的自由度数量（NDF）。当入射角和/或频率在离散有限集内变化时，奇异值可以通过解析方法确定。结果表明，它们呈现出多步行为。对于连续情况，找到了上下界，这使我们能够根据配置参数获得NDF的估计值。
