高效双螺旋点扩展函数相位片的设计与实验研究

李恒; 于斌; 陈丹妮; 牛憨笨

doi:10.7498/aps.62.124201

摘要

双螺旋点扩展函数具有随离焦连续旋转变化的特性, 结合单分子定位方法可用于厚样品三维超分辨成像及分子定位追踪研究. 但双螺旋点扩展函数不足之处是光能利用率低, 对于光子数受限的荧光显微成像而言其应用受限. 本文通过对双螺旋点扩展函数在空域、频域和拉盖尔-高斯模式面等三个不同域中进行约束优化. 模拟结果表明, 优化后的双螺旋点扩展函数的光能效率提高了30多倍. 同时, 基于最优设计方案制备了相位片, 并实验验证了该设计的正确性. 与文献报道相比较, 本文结果在成像深度和光能利用率方面都有所改善.

关键词:

Abstract

Double helix point spread function possesses continuously rotating invariant features with defocus, and it can be used for performing nano-resolution image of thick samples and for studying singleparticle tracking by combining the single-molecule localization method. However, the inadequacy of the original double helix point spread function is that the transfer function efficiency is very low, so it is difficult to achieve photon limited applications for the bio-imaging. The double-helix point spread function is optimized by introducing an iterative algorithm so that the constraints of the point spread function can be optimized best in three different domains: the Laguerre-Gauss modal plane, the spatial domain, and the Fourier domain. The simulation results show that the peak intensity of high efficiency double helix point spread function is 30 times higher than the original one. The design and fabrication of the phase plate are also proposed. The experimental results are in good agreement with the theoretical predictions, thus proving the feasibility of this method.

Keywords:

作者及机构信息

1.
深圳大学光电工程学院, 光电子器件与系统(教育部/广东省)重点实验室, 深圳 518060

基金项目: 国家重点基础研究发展计划(批准号: 2012CB825802)、国家自然科学基金(批准号: 61235012, 61178080, 11004136, 60878053)、国家重大科学仪器设备开发专项(批准号: 2012YQ15009203)和深圳市科技计划(批准号: JCYJ20120613173049560, GJHS20120621155433884)资助的课题.

Authors and contacts

1.
Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering,Shenzhen University, Shenzhen 518060, China

Funds: Project supported by the National Basic Research Program of China (Grant No. 2012CB825802), the National Natural Science Foundation of China (Grant Nos. 61235012, 61178080, 11004136, 60878053), the Special Funds of the Major Scientific Instruments Equipment Development of China (Grant No. 2012YQ15009203), and the Science and Technology Planning of Shenzhen, China (Grant Nos. JCYJ20120613173049560, GJHS20120621155433884).

参考文献

[1]	Betzig E, Patterson G H, Sougrat R, Lindwasser O W, Olenych S, Bonifacino J S, Davidson M W, Lippincott-Schwartz J, Hess H F 2006 Science 313 1642
[2]	Rust M J, Bates M, Zhuang X 2006 Nat. Methods 3 793
[3]	Hess S T, Girirajan T P K, Mason M D 2006 Biophys. J. 91 4258
[4]	Xie X S, Yu J, Yang W Y 2006 Science 312 228
[5]	Chen D N, Liu L, Yu B, Niu H B 2010 Acta Phys. Sin. 59 6948 (in Chinese) [陈丹妮, 刘磊, 于斌, 牛憨笨 2010 物理学报 59 6948]
[6]	Herbert S, Soares H, Zimmer C, Henriques R 2012 Microsc. Microanal. 18 1419
[7]	Jones S A, Shim S H, He J, Zhuang X 2011 Nat. Methods 8 499
[8]	Ober R J, Ram S, Ward E S 2004 Biophys. J. 86 1185
[9]	Huang B, Wang W, Bates M, Zhuang X 2008 Science 319 810
[10]	Ram S, Prabhat P, Ward E S, Ober R J 2009 Opt. Express 17 6881
[11]	Shtengel G, Galbraith J A, Galbraith C G, Lippincott-Schwartz J, Gillette J M, Manley S, Sougrat R, Waterman C M, Kanchanawong P, Davidson M W 2009 PNAS 106 3125
[12]	Pavani S R P, Piestun R 2008 Opt. Express 16 3484
[13]	Pavani S R P, Piestun R 2008 Opt. Express 16 3484
[14]	Piestun R, Shamir J 2002 Proc. IEEE 90 222
[15]	Levy U, Mendlovic D, Zalevsky Z, Shabtay G, Marom E 1999 Appl. Opt. 38 6732
[16]	Piestun R, Schechner Y Y, Shamir J 2000 JOSA A 17 294
[17]	Greengard A, Schechner Y Y, Piestun R 2006 Opt. Lett. 31 181
[18]	Grover G, Quirin S, Fiedler C, Piestun R 2011 Biomed. Opt. Express 2 3010

施引文献

[1]	Betzig E, Patterson G H, Sougrat R, Lindwasser O W, Olenych S, Bonifacino J S, Davidson M W, Lippincott-Schwartz J, Hess H F 2006 Science 313 1642
[2]	Rust M J, Bates M, Zhuang X 2006 Nat. Methods 3 793
[3]	Hess S T, Girirajan T P K, Mason M D 2006 Biophys. J. 91 4258
[4]	Xie X S, Yu J, Yang W Y 2006 Science 312 228
[5]	Chen D N, Liu L, Yu B, Niu H B 2010 Acta Phys. Sin. 59 6948 (in Chinese) [陈丹妮, 刘磊, 于斌, 牛憨笨 2010 物理学报 59 6948]
[6]	Herbert S, Soares H, Zimmer C, Henriques R 2012 Microsc. Microanal. 18 1419
[7]	Jones S A, Shim S H, He J, Zhuang X 2011 Nat. Methods 8 499
[8]	Ober R J, Ram S, Ward E S 2004 Biophys. J. 86 1185
[9]	Huang B, Wang W, Bates M, Zhuang X 2008 Science 319 810
[10]	Ram S, Prabhat P, Ward E S, Ober R J 2009 Opt. Express 17 6881
[11]	Shtengel G, Galbraith J A, Galbraith C G, Lippincott-Schwartz J, Gillette J M, Manley S, Sougrat R, Waterman C M, Kanchanawong P, Davidson M W 2009 PNAS 106 3125
[12]	Pavani S R P, Piestun R 2008 Opt. Express 16 3484
[13]	Pavani S R P, Piestun R 2008 Opt. Express 16 3484
[14]	Piestun R, Shamir J 2002 Proc. IEEE 90 222
[15]	Levy U, Mendlovic D, Zalevsky Z, Shabtay G, Marom E 1999 Appl. Opt. 38 6732
[16]	Piestun R, Schechner Y Y, Shamir J 2000 JOSA A 17 294
[17]	Greengard A, Schechner Y Y, Piestun R 2006 Opt. Lett. 31 181
[18]	Grover G, Quirin S, Fiedler C, Piestun R 2011 Biomed. Opt. Express 2 3010

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