The scope of scattering theory was expanded such that a novel polychromatic partially coherent radially polarized twisted beam was, for the first time to our knowledge, introduced to investigate the scattering upon a deterministic medium. Analytical expressions were derived, and spectral changes were numerically demonstrated. Results showed that the vector scattering fields would present much more abundant features than the scalar scattering fields. For instance, seen along the incident direction ($\theta = {0}$), the vector scattered spectrum would present a slight blueshift compared with the incident spectrum in the case of the polychromatic partially coherent radially polarized twisted beam (a kind of vector beam) scattered from a deterministic medium; however, the scalar scattered spectrum would demonstrate a significant blueshift in the case of scalar beam scattered from a deterministic medium. Moreover, for a vector incidence, with increasing correlation the central frequency of the scattered spectrum would remain unchanged; however, for a scalar incidence, the central frequency of the scattered spectrum gets higher with increasing correlation. Results obtained here would further enrich the research content of the weak scattering of the vector light beam and provide theoretical support for obtaining the structure information of the scattering media.

中文翻译：

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确定性介质上多色部分相干径向偏振扭曲光束的散射

散射理论的范围得到了扩展，以至于我们首次了解到一种新颖的多色部分相干的径向偏振扭曲光束，以研究确定性介质上的散射。推导了解析表达式，并数值证明了光谱变化。结果表明，矢量散射场比标量散射场具有更多的特征。例如，沿入射方向看（$ \ theta = {0} $），与从确定性介质散射的多色部分相干径向偏振扭曲光束（一种矢量光束）相比，矢量散射光谱与入射光谱相比会出现轻微的蓝移; 然而，在标量束从确定性介质散射的情况下，标量散射光谱将显示出显着的蓝移。此外，对于矢量入射，随着相关性的增加，散射频谱的中心频率将保持不变；然而，对于标量入射，散射光谱的中心频率随着相关性的增加而变高。这里获得的结果将进一步丰富矢量光束弱散射的研究内容，为获得散射介质的结构信息提供理论支持。