部分相干圆刃型位错光束在生物组织中的动态演化  

Dynamic Evolution of the Patically Coherent Circular Edge Dislocation Beams Propagating in Biological Tissues

作　　者：段美玲[1] 杜娇 赵志国[2] 黄小东 高燕琴[1] 丁超亮[2] DUAN Meiling;DU Jiao;ZHAO Zhiguo;HUANG Xiaodong;GAO Yanqin;DING Chaoliang(School of Science,North University of China,Taiyuan 030051,China;Henan Key Laboratory of Electromagnetic Transformation and Detection,Luoyang Normal University,Luoyang,Henan 471934,China)

机构地区：[1]中北大学理学院,太原030051 [2]洛阳师范学院河南省电磁变换与探测重点实验室,河南洛阳471934

出　　处：《光子学报》2021年第9期324-337,共14页Acta Photonica Sinica

基　　金：国家自然科学基金(No.11904329);山西省应用基础研究项目(No.201701D121011);河南省电磁变换与探测重点实验室开放课题(No.KLETD2003)。

摘　　要：以广义惠更斯-菲涅耳原理为基础,利用推导的部分相干圆刃型位错光束在小鼠真皮组织传输中的交叉谱密度函数解析表达式,研究了光束初始参量(光束波长λ和圆刃型位错数目n)和传输距离z对光束归一化光强分布、相位演化和传输轨迹的影响。结果表明,位错数为n的部分相干圆刃型位错光束,源平面内中心光强最大,两侧对称分布着2n个次峰。随传输距离增加,光强分布由多峰状逐渐演化为单峰状,波长越长,n值越小,光强分布演化越快。位错数目越多,光束稳定性越好。源平面内n个圆刃型位错最内侧的环半径随位错数目增加而减小。受到生物组织湍流诱导和衍射效应的综合作用,自传输开始,圆刃型位错分裂为n对拓扑荷分别为“+1”和“-1”的相干涡旋。随传输距离增加,又新生n对拓扑荷为“+1”和“-1”的相干涡旋。波长越长,n值越大,光束相位演化越快,相干涡旋的位置分布由分散趋于集中,最终全部湮灭。相干涡旋对间距越小,湮灭越早。波长越长,位错数目越多,起始相干涡旋对越早开始湮灭,全部湮灭的传输距离越长;波长越短,位错数目越多,新生相干涡旋对越早开始湮灭,全部湮灭经历的传输距离越长。The analytical expression for the cross spectral density function of partially coherent circular edge dislocation beams propagating in the deep dermis of mouse tissue is derived based on the generalized Huygens-Fresnel principle,the effects of the initial beam parameters(the beam wavelengthλand the number of circular edge dislocations n)and the propagation distance z on the normalized intensity distribution,phase evolution and propagation trajectory of the beam are investigated.The results show that the central intensity of the partially coherent circular edge dislocation beam with n dislocation number is the largest in the source plane,and 2n secondary peaks symmetrically distribute on both sides.With the increment of propagation distance,the intensity distribution gradually evolves from multi-peak to singlepeak,the longer the wavelength is,the smaller the n is,the faster the intensity distribution evolution is.The more the number of dislocations is,the better the beam stability is.Additionally,in the source plane the radius of the innermost ring of n circular edge dislocations decreases as the number of dislocations increases.Owing to the combination of the biological tissue turbulence induction and diffraction effect,the n circular edge dislocation has split into n sets of coherent vortices whose topological charges are"+1"and"-1"from the beginning of the propagation,respectively.As the propagation proceeds,n sets of coherent vortices with topological charges of"+1"and"-1"will be generated.The bigger the wavelength is,the more the n is,the faster the evolution of the beam phase,the more the distribution of the coherent vortices tends to be concentrated,and finally all the coherent vortices are annihilated.The smaller the distance between the coherent vortices,the earlier the annihilation.The longer the wavelength is,the larger the value of n is,the earlier the annihilation of the initial coherent vortices pairs is,and the longer the propagation distance to the total annihilation is.The smaller the wavelength

关 键 词：相位演化 生物组织 光强分布 传输轨迹 圆刃型位错光束 

分 类 号：O436[机械工程—光学工程]