光学微腔中高阶色散对图灵环光场的影响  

Influence of High-order Dispersion on Turing Patterns in Microresonators

作　　者：徐昕 叶回春[2] 金雪莹 高浩然 陈东[1] 陆洋[3] 于连栋 XU Xin;YE Huichun;JIN Xueying;GAO Haoran;CHEN Dong;LU Yang;YU Liandong(Anhui Province Key Laboratory of Measuring Theory and Precision Instrument,School of Instrument Science and Optoelectronics Engineering,Hefei University of Technology,Hefei 230009,China;Department of Precision Machinery and Precision Instrumentation,University of Science and Technology of China,Hefei 230027,China;College of Control Science and Engineering,China University of Petroleum(UPC),Shandong 266555,China)

机构地区：[1]合肥工业大学仪器科学与光电工程学院测量理论与精密仪器安徽省重点实验室,合肥230009 [2]中国科学技术大学精密机械与精密仪器系,合肥230027 [3]中国石油大学(华东)控制科学与工程学院,山东青岛266555

出　　处：《光子学报》2022年第11期186-192,共7页Acta Photonica Sinica

基　　金：国家自然科学基金(Nos.52175503,52005147);国家重点研发计划(No.2019YFE0107400)。

摘　　要：光学微腔中高阶色散会对腔内的图灵环光场产生重要的影响,基于Lugiato-Lefever方程,采用分步傅立叶法对方程求解,分析光场在腔内的演化过程。研究发现,微腔中的奇次高阶色散会导致图灵环光场以恒定的速度发生时间漂移,色散系数的正负会导致漂移方向不同,且色散值越大,漂移速度也越大;偶次高阶色散不会对腔中的图灵光场产生影响。此外,高阶色散会引起图灵光场中的高阶模式产生较强的色散波。Microresonator-based optical frequency combs have attracted extensive interest due to their compactness,flexibility,low power consumption,and compatibility with complementary metal-oxidesemiconductor integration.When modulation instability dominates in nonlinear microresonators,a particular field of dissipative Turing patterns is demonstrated.Turing patterns exhibit wider frequency comb intervals than a soliton field in the spectral domain.Owing to their robustness against perturbations and optimal spectral purity,Turing patterns provide a creative platform for high-capacity communication,on-chip optical squeezing,and other applications.At present,the effect of high order dispersion on Turing patterns is generally ignored.However,this effect is particularly important for microresonators with a large amount of high order dispersion.Therefore,the influence of high order dispersion on Turing patterns is investigated in this study.The step-Fourier is used to solve the theoretical model of Lugiato-Lefever Equation,the evolutions of the field inside the microresonators are investigated,and the influences of higher order dispersion on Turing ring optical field are also analyzed.The theoretical analysis and numerical calculation prove that the third-order dispersion coefficient β_(3)causes a time shift in Turing patterns at a uniform speed.The fifth-order dispersion coefficientβ_(3),which is smaller than the third-order dispersion coefficient β_(3),has a weak effect on the time shift of the field,the time shift speed is relatively low.Moreover,high odd order dispersion also affects the direction and speed of the time shift.In the third-order dispersion example,the positive and negative values correspond to the opposite directions of time shift.The larger the third-order dispersion is,the faster the time shift is.On the other hand,high even order dispersion is added into the theoretical simulation,which indicates no change in the number or position of the pulses.Therefore,the high even order dispersion does not affect

关 键 词：超快光学 光学微腔 图灵环 高阶色散 色散波 

分 类 号：O437[机械工程—光学工程]