Partially coherent sources with radial coherence are proposed. They present a circularly symmetric intensity profile and a degree of coherence whose absolute value only depends on the angular difference between the two considered points. In particular, the source is completely coherent at pairs of points belonging to the same radius. The modal structure of such sources is determined in the general case, and conditions are derived under which the field propagated in paraxial approximation remains radially coherent at any transverse plane. In such cases, the angular dependence of the correlation function is preserved upon propagation, although the intensity profile generally changes. An example of this kind of source has been experimentally synthesized by means of a simple setup, and its coherence characteristics have been tested by means of a Young interferometer.

中文翻译：

---

径向相干的部分相干源

提出了具有径向相干性的部分相干源。它们呈现出圆形对称的强度分布和相干程度，其绝对值仅取决于两个考虑点之间的角度差。特别地，源在属于相同半径的成对点上是完全相干的。在一般情况下，将确定此类源的模态结构，并推导出条件，在该条件下，以近轴近似传播的场在任何横向平面上都保持径向相干。在这种情况下，尽管强度分布通常会改变，但是相关函数的角度依赖性在传播时得以保留。通过简单的设置，实验性地合成了这种来源的一个例子，