Mei Zhangrong, Korotkova Olga
Opt Express. 2016 Mar 7;24(5):5572-5583. doi: 10.1364/OE.24.005572.
A class of electromagnetic sources with multi-cosine Gaussian Schell-model correlation function is introduced. The realizability conditions for such sources and the beam conditions for the beams generated by them are established. Analytical formulas for the cross-spectral density matrix of such beams propagating in free space are derived and used to examine their statistical properties by numerical simulations. The results demonstrate that such beams possess invariant far-field concentric rings-like intensity patterns, uniform polarization state on all rings, and generally different degree of polarization values on different rings. By changing the summation index and other source parameters, the number of rings along with the behavior of various beam characteristics can be tuned at will.
介绍了一类具有多余弦高斯谢尔模型相关函数的电磁源。建立了此类源的可实现条件以及由它们产生的光束的光束条件。推导了此类光束在自由空间中传播时的交叉谱密度矩阵的解析公式，并通过数值模拟用于研究其统计特性。结果表明，此类光束具有不变的远场同心环状强度图案、所有环上均匀的偏振态以及不同环上通常不同的偏振度值。通过改变求和指标和其他源参数，可以随意调整环的数量以及各种光束特性的行为。
