Solving inverse scattering problems by numerical methods requires investigating the number of independent pieces of information that can be reconstructed stably. To this end, we address the evaluation of the Number of Degrees of Freedom (NDF) of far-zone scattered fields for some strip geometries under the first-order Born approximation. The analysis is performed by employing the Singular Value Decomposition (SVD) of the scattering operator in the two-dimensional scalar geometry of one or more strips illuminated by a TM polarized plane wave. It is known that investigating the scattering scene at different incident plane waves (multi-view configuration) enhances the NDF. Therefore we mean to examine the minimum number of incident plane waves providing the NDF of the scattered fields both by theoretical estimations and numerical verifications.

中文翻译：

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条形几何的散射场的NDF

用数值方法解决逆散射问题需要研究可以稳定重构的独立信息的数量。为此，我们针对一阶Born近似对某些带几何形状的远区散射场的自由度（NDF）进行了评估。通过在由TM偏振平面波照射的一个或多个带的二维标量几何中采用散射算子的奇异值分解（SVD）进行分析。众所周知，研究不同入射平面波（多视图配置）下的散射场景会增强NDF。因此，我们的意思是通过理论估计和数值验证来检查提供散射场NDF的最小入射平面波数。