紧聚焦条件下相干反斯托克斯拉曼散射信号场的矢量分析

李亚晖; 梁闰富; 邱俊鹏; 林子扬; 屈军乐; 刘立新; 尹君; 牛憨笨

doi:10.7498/aps.63.233301

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摘要

在相干反斯托克斯拉曼散射(coherent anti-Stokes Raman scattering, CARS)显微镜中, 共线传输的紧聚焦高斯光束激发具有不同形状和尺寸的待测样品所产生的CARS信号场的空间分布决定了整体系统的结构特点. 建立了紧聚焦条件下球形样品产生CARS信号场的理论模型. 利用矢量波动方程分析了紧聚焦条件下线偏振的高斯光束的光场强度和相位分布. 利用格林函数求解该模型中CARS信号场的矢量波动方程, 模拟计算得到了不同直径球形样品的远场CARS信号场的空间分布. 理论分析和模拟计算结果表明, 对于小体积的球形样品, 前向和背向传输的CARS信号场强度接近, 因此采用大数值孔径物镜背向探测方式即可获得高对比度图像. 对于大体积球形样品, CARS 信号场的强度大幅增强, 且发射方向主要集中在前向的一定立体角内. 因此, 采用小数值孔径物镜即可有效收集前向传输的CARS信号.

关键词:

作者及机构信息

1.
深圳大学光电工程学院, 深圳 518060;

2.
光电子器件与系统(教育部/广东省)重点实验室, 深圳 518060;

3.
西安电子科技大学物理与光电工程学院, 西安 710071

基金项目: 国家重点基础研究发展计划(批准号:2012CB825802)、国家重大科学仪器设备开发专项(批准号:2012YQ150092)、国家自然科学基金重点项目(批准号:61235012)、国家自然科学基金青年科学基金(批准号:11204226)和陕西省自然科学基础研究计划(批准号:2014JM8324)资助的课题.

参考文献

[1]	Humecki H J 1995 Practical Spectroscopy (Vol. 19) (New York: Marcel Dekker, Inc) pp95-105
[2]	Turrell G, Corset J 1996 Raman Microscopy Development and Applications (San Diego: Academic Press) pp1-28
[3]	Wang M, Tian Y, Zhang J M, Guo C F, Zhang X Z, Liu Q 2014 Chin. Phys. B 23 087803
[4]	Duncan M D, Reijntjes J, Manuccia T J 1974 Opt. Lett. 25 387
[5]	Yin J, Yu F, Hou G H, Liang R F, Tian Y L, Lin Z Y, Niu H B 2014 Acta Phys. Sin. 63 073301 (in Chinese) [尹君, 余锋, 侯国辉, 梁闰富, 田宇亮, 林子扬, 牛憨笨 2014 物理学报 63 073301]
[6]	Yin J, Lin Z J, Qu J L, Yu L Y, Liu X, Wan H, Niu H B 2009 Chin. J. Lasers 36 2477 (in Chinese) [尹君, 林子扬, 屈军乐, 于凌尧, 刘星, 万辉, 牛憨笨 2009 中国激光 36 2477]
[7]	Shen Y R 1984 The Principles of Nonlinear Optics (New York: John Wiley and Sons Inc.) pp141-184
[8]	Robert W B 2010 Nonlinear Optics (New York: Academic Press) pp499-500
[9]	Youngworth K S, Brown T G 2000 Opt. Express 7 77
[10]	Richards B, Wolf E 1959 Proc. R. Soc. A 253 358
[11]	Novotny L, Hecht B 2006 Principles of Nano-Optics (New York: Cambridge University Press) pp53-61
[12]	Chew W C 1990 Waves and Fields in Inhomogeneous Media (New York: Van Nostrand Reinhold) pp33-36
[13]	Novotny L 1997 J. Opt. Soc. Am. A 14 105
[14]	Ye P X 2007 Nonlinear Optical Physics (Beijing: Peking University Press) pp20-42 (in Chinese) [叶佩弦 2007 非线性光学物理 (北京: 北京大学出版社)第20–42页]
[15]	Bjorklund G C 1975 IEEE J. Quant. Electron 11 287
[16]	Teets R E 1986 Appl. Opt. 25 855

施引文献

[1]	Humecki H J 1995 Practical Spectroscopy (Vol. 19) (New York: Marcel Dekker, Inc) pp95-105
[2]	Turrell G, Corset J 1996 Raman Microscopy Development and Applications (San Diego: Academic Press) pp1-28
[3]	Wang M, Tian Y, Zhang J M, Guo C F, Zhang X Z, Liu Q 2014 Chin. Phys. B 23 087803
[4]	Duncan M D, Reijntjes J, Manuccia T J 1974 Opt. Lett. 25 387
[5]	Yin J, Yu F, Hou G H, Liang R F, Tian Y L, Lin Z Y, Niu H B 2014 Acta Phys. Sin. 63 073301 (in Chinese) [尹君, 余锋, 侯国辉, 梁闰富, 田宇亮, 林子扬, 牛憨笨 2014 物理学报 63 073301]
[6]	Yin J, Lin Z J, Qu J L, Yu L Y, Liu X, Wan H, Niu H B 2009 Chin. J. Lasers 36 2477 (in Chinese) [尹君, 林子扬, 屈军乐, 于凌尧, 刘星, 万辉, 牛憨笨 2009 中国激光 36 2477]
[7]	Shen Y R 1984 The Principles of Nonlinear Optics (New York: John Wiley and Sons Inc.) pp141-184
[8]	Robert W B 2010 Nonlinear Optics (New York: Academic Press) pp499-500
[9]	Youngworth K S, Brown T G 2000 Opt. Express 7 77
[10]	Richards B, Wolf E 1959 Proc. R. Soc. A 253 358
[11]	Novotny L, Hecht B 2006 Principles of Nano-Optics (New York: Cambridge University Press) pp53-61
[12]	Chew W C 1990 Waves and Fields in Inhomogeneous Media (New York: Van Nostrand Reinhold) pp33-36
[13]	Novotny L 1997 J. Opt. Soc. Am. A 14 105
[14]	Ye P X 2007 Nonlinear Optical Physics (Beijing: Peking University Press) pp20-42 (in Chinese) [叶佩弦 2007 非线性光学物理 (北京: 北京大学出版社)第20–42页]
[15]	Bjorklund G C 1975 IEEE J. Quant. Electron 11 287
[16]	Teets R E 1986 Appl. Opt. 25 855

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紧聚焦条件下相干反斯托克斯拉曼散射信号场的矢量分析

1. 深圳大学光电工程学院, 深圳 518060;

2. 光电子器件与系统(教育部/广东省)重点实验室, 深圳 518060;

3. 西安电子科技大学物理与光电工程学院, 西安 710071

基金项目:

国家重点基础研究发展计划(批准号:2012CB825802)、国家重大科学仪器设备开发专项(批准号:2012YQ150092)、国家自然科学基金重点项目(批准号:61235012)、国家自然科学基金青年科学基金(批准号:11204226)和陕西省自然科学基础研究计划(批准号:2014JM8324)资助的课题.

收稿日期: 2014-06-20

修回日期: 2014-07-26

刊出日期: 2014-12-05

摘要: 在相干反斯托克斯拉曼散射(coherent anti-Stokes Raman scattering, CARS)显微镜中, 共线传输的紧聚焦高斯光束激发具有不同形状和尺寸的待测样品所产生的CARS信号场的空间分布决定了整体系统的结构特点. 建立了紧聚焦条件下球形样品产生CARS信号场的理论模型. 利用矢量波动方程分析了紧聚焦条件下线偏振的高斯光束的光场强度和相位分布. 利用格林函数求解该模型中CARS信号场的矢量波动方程, 模拟计算得到了不同直径球形样品的远场CARS信号场的空间分布. 理论分析和模拟计算结果表明, 对于小体积的球形样品, 前向和背向传输的CARS信号场强度接近, 因此采用大数值孔径物镜背向探测方式即可获得高对比度图像. 对于大体积球形样品, CARS 信号场的强度大幅增强, 且发射方向主要集中在前向的一定立体角内. 因此, 采用小数值孔径物镜即可有效收集前向传输的CARS信号.

关键词:

Vector analysis of the coherent anti-Stokes Raman scattering signals generated under the tightly focused condition

1.
College of Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China;

2.
Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, Shenzhen 518060, China;

3.
School of Physics and Optoelectronic Engineering, Xidian University, Xi'an 710071, China

Fund Project:

Project supported by the National Basic Research Program of China (Grant No. 2012CB825802), the Special Funds of the Major Scientific Instruments Equipment Development of China (Grant No. 2012YQ150092), the Key Program of the National Natural Science Foundation of China (Grant No. 61235012), the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11204226), and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2014JM8324).

Received Date: 20 June 2014

Accepted Date: 26 July 2014

Published Online: 05 December 2014

Abstract: In a coherent anti-Stokes Raman scattering (CARS) microscope, when samples with different shapes and dimensions are excitated by collinearly introduced and tightly focused Gaussian beams, the microscopic structure will be determined by the spatial distributions of generated CARS signals. Therefore, we build a theoretical model for CARS signals from spherical sample under the tightly focused condition. The intensity and phase distributions of tightly focused linear polarization Gaussian beams are analyzed with vector wave equations. The vector wave equation of CARS signals is derived from Green's function. The far-field CARS radiation patterns of spherical scatters with different diameters are simulatively calculated. Theoretical analysis and simulative calculation results show that the intensities of forward and backward CARS signals from the small spherical sampler are similar. The images with high contrast can be obtained by backward detection method from an objective with a high numerical aperture. For big spherical samplers, intensities of CARS signals are greatly increased. The emission direction is mainly concentrated in a spatial angle. The forward CARS signals can be effectively collected by an objective with low numerical aperture.

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