超分辨显微成像环形光瞳的结构设计
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摘要
将径向偏振光束与环形光瞳滤波技术相结合是实现超分辨显微成像的有效途径之一,而环形光瞳的结构设计是其中的关键技术。基于径向偏振光束的聚焦模型,引入环形光瞳调制入射光束的相位分布,利用遗传算法对光瞳环形半径及调制相位因子进行优化设计,获得了3环、5环和7环结构的光瞳滤波器结构,分别实现了横向、轴向以及三维超分辨。设计的7环形光瞳滤波器可使横向分辨率提升9%且轴向分辨率提升10.76%;在只关心横向或轴向分辨率的情况下,设计的光瞳滤波器可使横向分辨率提升27.67%、轴向分辨率提升16.42%。该光瞳设计方法对于超分辨显微成像的理论分析和应用有一定的指导意义。
It is an effective way to achieve super-resolution microscopy imaging by combination of the radially polarized beam and annular pupil filtering techniques,where the structural design of the annular pupil is one of the key technologies. Based on the focusing system model of radially polarized beams,an annular pupil to modulate incident beam phase distributions is introduced,and its annular radii and phase modulator factors are designed using genetic algorithm. Then,pupil filters with three,five and seven rings are obtained to achieve lateral,axial or three-dimensional super-resolution. The pupil filter with 7 rings can enhance the lateral resolution by 9% and the axial resolution by10. 76%. Only concerning the lateral resolution individually,the lateral resolution can increase by 27. 67%,and concerning the axial resolution individually,the axial resolution can increase by 16. 42%. The pupil design method has significant effect in the theoretical analysis and application of super-resolution imaging.
It is an effective way to achieve super-resolution microscopy imaging by combination of the radially polarized beam and annular pupil filtering techniques,where the structural design of the annular pupil is one of the key technologies. Based on the focusing system model of radially polarized beams,an annular pupil to modulate incident beam phase distributions is introduced,and its annular radii and phase modulator factors are designed using genetic algorithm. Then,pupil filters with three,five and seven rings are obtained to achieve lateral,axial or three-dimensional super-resolution. The pupil filter with 7 rings can enhance the lateral resolution by 9% and the axial resolution by10. 76%. Only concerning the lateral resolution individually,the lateral resolution can increase by 27. 67%,and concerning the axial resolution individually,the axial resolution can increase by 16. 42%. The pupil design method has significant effect in the theoretical analysis and application of super-resolution imaging.
引文
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[3]Xu Y,Singh J,Sheppard C J R,et al.Ultra long high resolution beam by multi-zone rotationally symmetrical complex pupil filters[J].Optics Express,2007,15(10):6409-6413.
[4]Tan Q,Chen K,Zhou Z,et al.Diffractive superresolution elements for radially polarized light[J].Journal of the Optical Society of America A,2010,27(6):1355-1360.
[5]程侃,谭峭峰,周哲海,等.径向偏振光三维超分辨衍射光学元件设计[J].光学学报,2010,30(11):3295-3299.
[6]Wang H,Shi L,Lukyanchuk B,et al.Creation of a needle of longitudinally polarized light in vacuum using binary optics[J].Nature Photonics,2008,2:501-505.
[7]Huang K,Shi P,Kang X,et al.Design of DOE for a needle of a strong longitudinally polarized field[J].Optics Letters,2010,35(7):975-967.
[8]刘涛.矢量衍射远场超分辨聚焦相关理论及共焦显微成像研究[D].哈尔滨:哈尔滨工业大学,2014.
[9]Tang F,Wang Y,Qiu L,et al.Super-resolution radially polarized-light pupil-filtering confocal sensing technology[J].Applied optics,2014,53(31):7407-7414.
[10]周哲海.轴对称偏振光束的生成、特性及应用[J].北京:清华大学,2010.
[11]金国藩.二元光学[M].北京:国防工业出版社,1998.
[12]Zha Y,Wei J,Gan F.Optimized design of four-zone phase pupil filter for nanoscale phase transition optical lithography[C].2012 International Workshop on Information Data Storage and Ninth International Symposium on Optical Storage.International Society for Optics and Photonics,2013:878206.
[13]Liu H,Yan Y,and Jin G.Design theories and performance limits of diffractive superresolution elements with the highest sidelobe suppressed[J].Journal of the Optical Society of America A,2005,22(5):828-838.
[14]高飞.MATLAB智能算法超级学习手册[M].北京:人民邮电出版社,2014.
[15]雷英杰.MATLAB遗传算法工具箱及应用[M].西安:西安电子科技大学出版社,2005.