Zhang Rong, Wang Xiangzhao, Cheng Xin, Qiu Zicheng
Laboratory of Information Optics and Opto-Electronic Technology, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Jiading, Shanghai 201800, China.
J Opt Soc Am A Opt Image Sci Vis. 2010 Nov 1;27(11):2496-505. doi: 10.1364/JOSAA.27.002496.
When propagating in free space, the transversal distribution of the degree of polarization of an anisotropic electromagnetic Gaussian-Schell model (AEGSM) beam will generally undergo a complex evolution process. We find that this transversal distribution of the degree of polarization of an AEGSM beam can be controlled by exploiting the partial correlation properties of the source. The main research of our paper falls into two parts. First, the concept of analogical propagation of the transversal distribution of the degree of polarization is proposed, and the condition for an AEGSM beam having an analogical propagation is obtained. When an AEGSM beam is on analogical propagation, the distribution of the degree of polarization on any cross section of the beam is always similar to that on the source plane, except that the size of the distribution pattern will expand continuously as the propagation distance increases. Second, the far-field transversal distribution of the degree of polarization is considered, and the condition for the far-field transversal polarization distribution of an AEGSM beam to be always of circularly symmetric shape, no matter how complicated it is on the source, is obtained. Our research is expected to find applications in areas that make use of the polarization properties of random electromagnetic beams.
在自由空间中传播时，各向异性电磁高斯 - 谢尔模型（AEGSM）光束的偏振度横向分布通常会经历一个复杂的演化过程。我们发现，利用源的部分相关特性可以控制AEGSM光束的偏振度横向分布。本文的主要研究分为两部分。第一，提出了偏振度横向分布的类比传播概念，并得到了AEGSM光束具有类比传播的条件。当AEGSM光束进行类比传播时，光束任意横截面上的偏振度分布始终与源平面上的相似，只是分布图案的尺寸会随着传播距离的增加而不断扩大。第二，考虑了偏振度的远场横向分布，得到了无论源上的情况多么复杂，AEGSM光束的远场横向偏振分布始终呈圆对称形状的条件。我们的研究有望在利用随机电磁光束偏振特性的领域找到应用。
