Partially coherent Pearcey-Gauss source of the spatial spectrum with hyperbolic sine correlation

• JingHuan Huang, Yanghong Li, Yejin Liu, jingyi shi, YingJun Luo, Yongzheng Yang, Peiwen Peng, Shigen Ouyang, and Dongmei Deng
• received 01/18/2024; accepted 03/25/2024; posted 03/26/2024; Doc. ID 519074
• Abstract: By designing the intricate coherence structure, we are able to create a desired beam profile and trajectory with exceptional beam quality and flexible propagation characteristics even in different conditions. Our research focus lies on the Fourier plane, specifically emphasizing the coherence of spatial frequencies, and we find it can be seen as a constant system response. A theoretical framework is developed and experimental studies are conducted to generate a light field of the spatial spectrum with a complex correlation model using the pseudo-modes superposition method. We successfully produce partially coherent Pearcey-Gauss beams whose spatial spectrum is hyperbolic sine correlational. Interestingly, these beams maintain the distinctive propagation properties of the Pearcey pattern while simultaneously exhibiting the remarkable ability to split the mainlobe into two separate lobes.