论文标题
部分连贯的锥形折射
Partially coherent conical refraction
论文作者
论文摘要
在本文中，我们使用统一的光学相干理论将近后圆锥形折射模型扩展到部分相干光的情况。我们证明了锥形折射相关函数的分解为高斯Schell模型源的众所周知的锥形折射模式。假设输入光束的电场阶段随机性，我们重新制定并显着简化了严格的锥形折射理论。这种方法使我们能够以与经典的相干辐射情况完全相同的方式来考虑通过锥形折射晶体传播光。在手头上，我们在分析局部和远场中分析了锥体折射强度，这使我们能够解释并严格地证明早期的实验发现并预测新现象。最后一个包括锥形折射环宽度狭窄的违反直觉效果，劳埃德（Lloyd）平面中黑暗poggendorff环的消失以及低相位圆锥形折射光的拉曼斑点的偏移。我们还证明了锥形折射锥相干性度的普遍幂律依赖性对远场低相关锥体折射光的输入相关长度和无衍射传播。
In this paper, we extend the paraxial conical refraction model to the case of the partially coherent light using the unified optical coherence theory. We demonstrate the decomposition of conical refraction correlation functions into well-known conical refraction coherent modes for a Gaussian Schell-model source. Assuming randomness of the electrical field phase of the input beam, we reformulated and significantly simplified the rigorous conical refraction theory. This approach allows us to consider the propagation of light through a conical refraction crystal in exactly the same way as in the classical case of coherent radiation. Having this in hand, we derive analytically the conical refraction intensity both in the focal plane and in the far field, which allows us to explain and rigorously justify earlier experimental findings and predict new phenomena. The last include the counterintuitive effect of narrowing of the conical refraction ring width, disappearance of the dark Poggendorff's ring in the Lloyd's plane, and shift of Raman spots for the low-coherent conical refraction light. We also demonstrate a universal power-law dependence of conical refraction cones coherence degree on the input correlation length and diffraction-free propagation of the low-coherent conical refraction light in the far field.
