Study of high-order nonlinear propagation characteristics of partially coherent beams

作     者：Liu, Zexu Zhao, Qian Xu, Lihailiang Wan, Yuan Cai, Yangjian Liang, Chunhao Wang, Hongzhen 

作者机构：Shandong Provincial Engineering and Technical Center of Light Manipulations Shandong Provincial Key Laboratory of Optics and Photonic Device School of Physics and Electronics Shandong Normal University Jinan250358 China Collaborative Innovation Center of Light Manipulations and Applications Shandong Normal University Jinan250358 China East China Normal University Joint Research Center of Light Manipulation Science and Photonic Integrated Chip East China Normal University Shandong Normal University Shanghai200241 China 

出 版 物：《Optics Express》 (Opt. Express)

年 卷 期：2025年第33卷第3期

页      面：6319-6330页

核心收录：

学科分类：070207[理学-光学] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 08[工学] 0714[理学-统计学（可授理学、经济学学位）] 0803[工学-光学工程] 0701[理学-数学] 0702[理学-物理学] 

基　　金：National Key Research and Development Program of China (2022YFA1404800) National Natural Science Foundation of China (12104269, 12374311, 92250304, 12192254, W2441005, 12104268) Taishan Scholars Program of Shandong Province (TSQN202312163) Natural Science Foundation of Shandong Province (ZR2023YQ006) 

主　　题：Optical depth 

摘      要：This study develops a numerical simulation method and investigates the propagation characteristics of partially coherent beams in nonlinear media, specifically addressing the research gaps related to the accuracy of numerical methods and higher-order nonlinear effects. Key findings include the validated of a new simulation method against the split-step Fourier method with analytical formulas, demonstrating enhanced accuracy. Our findings reveal that, under the higher-order nonlinear effect conditions, the focusing ability of Gaussian-Schell model (GSM) beams under nonlinear conditions is opposite to that when only considering the third-order nonlinear refractive index coefficient (n2). It is also shown that, at higher intensities, GSM beams exhibit a ring-like intensity distribution similar to Gaussian beams, significantly influenced by coherence levels. This distribution becomes more pronounced with higher-order nonlinear effects, highlighting the role of coherence in shaping beam intensity structures. Overall, this research introduces new methods and deeper insights into the behavior of partially coherent beams in nonlinear media, emphasizing the importance of coherence in controlling nonlinear optical phenomena. © 2025 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement.