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环形光束的锥形衍射效应对于微粒的操控具有重要的应用价值.本文建立了环状高斯光束的锥形衍射模型，并基于Berry理论给出了线偏振态下环形光束锥形衍射出射光场的计算公式.理论仿真了环状光锥形衍射出射光场的偏振特性，得出环光锥形衍射出射光场的内、外亮环具有相互正交的偏振分布特性.搭建了线偏振态下环状高斯光锥形衍射的实验系统，实验验证了出射光场的偏振特性.针对环形光束锥形衍射出射光场具备的偏振特性，设计了一种组合偏振片，理论和实验研究了该组合偏振片对环光锥形衍射出射光场的调控.结果表明，随着组合偏振片方位角的变化，锥形衍射出射光场的内、外环强度发生周期性的变化.Conical diffraction, a unique optical phenomenon in biaxial crystal, has important applications for the manipulation of particles. In this paper, a new model of annular Gaussian beam is constructed based on the Tovar's flat-topped multi-Gaussian laser beams. The conical diffraction of annular Gaussian beam is calculated using Belsky-Khapalyuk-Berry theory. The polarization characteristics of conical diffracted output beams under the annular Gaussian beam are theoretically calculated and experimentally demonstrated by means of the linearly polarized annular Gaussian beams with different polarization directions. It is found that the same azimuth angles of the inner and outer rings of the conical diffracted output beams have orthogonal polarization characteristics. A combined polarizer (CP) composed of eight polarizing segments with different specific pass axes of polarization is presented to simulate the polarization characteristic of the optical field of conical diffraction. Furthermore the calculations for output-field control of conical diffraction under the annular beam by using the proposed CP are compared with the experimental results. The results show that the intensities of both the inner and outer rings are periodically varied with CP azimuth angle. And when the azimuth angle of CP is 0, only the conical diffracted outer ring is remained, while only the inner ring of conical diffraction is remained for 180. This tunable conical diffracted field has important applications in optical tweezers and wavelength division multiplexing.
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Keywords:
- biaxial crystal /
- conical diffraction /
- annular Gaussian beam /
- combined polarizer
[1] Lloyd H 1831 Lond. Edinb. Phil. Mag. 2 112
[2] Born M, Wolf E 1999 Principles of Optics (seventh expanded edition) (Cambridge: Cambridge University Press) p904
[3] Lunney J G, Weaire D 2006 Europhys. News 37 26
[4] Belskii A M, Khapalyuk A P 1978 Opt. Spectrosc. 44 436
[5] Poggendorff J C 1839 Pogg. Ann. 48 461
[6] Voigt W 1905 Ann. Phys. Berlin 323 645
[7] Raman C V, Rajagopalan V S, Nedungadi T M K 1941 Proc. Math. Sci. 14 221
[8] Portigal D L, Burstein E 1969 J. Opt. Soc. Am. 59 1567
[9] Berry M V 2004 J. Opt. A: Pure Appl. Opt. 6 289
[10] Turpin A, Loiko Y V, Kalkandkiev T K, Tomizawa H, Mompart J 2014 Opt. Lett. 39 4349
[11] O'Dwyer D P, Phelan C F, Rakovich Y P, Eastham P R, Lunney J G, Donegan J F 2011 Opt. Express 19 2580
[12] Darcy R T, McCloskey D, Ballantine K E, Jennings B D, Lunney J G, Eastham P R, Donegan J F 2013 Opt. Express 21 20394
[13] Grant S D, Zolotovskaya S A, Gillespie W A, Kalkandjiev T K, Abdolvand A 2014 Opt. Lett. 39 1988
[14] Peet V 2014 J. Opt. 16 075702
[15] Turpin A, Loiko Y V, Kalkandjiev T K, Corbaln R, Mompart J 2015 Phys. Rev. A 92 013802
[16] Wu F T, Jiang X G, Liu B, Qiu Z X 2009 Acta Phys. Sin. 58 2410 (in Chinese) [吴逢铁, 江新光, 刘彬, 邱振兴 2009 58 2410]
[17] Zhu Q C, Wu F T, Hu R, Feng C 2016 Acta Phys. Sin. 65 184101 (in Chinese) [朱清智, 吴逢铁, 胡润, 冯聪 2016 65 184101]
[18] Liu S, Li P, Zhang Y, Han L, Cheng H C, Zhao J L 2016 Acta Opt. Sin. 10 1026001 (in Chinese) [刘圣, 李鹏, 章毅, 韩磊, 程华超, 赵建林 2016 光学学报 10 1026001]
[19] O'Dwyer D P, Phelan C F, Ballantine K E, Rakovich Y P, Lunney J G, Donegan J F 2010 Opt. Express 18 27319
[20] Peinado A, Lizana A, Turpn A, Iemmi C, Kalkandjiev T K, Mompart J, Campos J 2015 Opt. Express 23 5636
[21] Turpin A, Kalkandjiev T K, Mompart J 2016 2016 15th Workshop on Information Optics Barcelona, Spain, July 11-15, 2016 p1
[22] Tovar A A 2001 J. Opt. Soc. Am. A 18 1897
[23] Turpin A, Loiko Y V, Peinado A, Lizana A, Kalkandjiev T K, Campos J, Mompart J 2015 Opt. Express 23 5704
[24] Loiko Y V, Turpin A, Kalkandjiev T K, Mompart J 2012 Proc. SPIE 8246 82460T
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[1] Lloyd H 1831 Lond. Edinb. Phil. Mag. 2 112
[2] Born M, Wolf E 1999 Principles of Optics (seventh expanded edition) (Cambridge: Cambridge University Press) p904
[3] Lunney J G, Weaire D 2006 Europhys. News 37 26
[4] Belskii A M, Khapalyuk A P 1978 Opt. Spectrosc. 44 436
[5] Poggendorff J C 1839 Pogg. Ann. 48 461
[6] Voigt W 1905 Ann. Phys. Berlin 323 645
[7] Raman C V, Rajagopalan V S, Nedungadi T M K 1941 Proc. Math. Sci. 14 221
[8] Portigal D L, Burstein E 1969 J. Opt. Soc. Am. 59 1567
[9] Berry M V 2004 J. Opt. A: Pure Appl. Opt. 6 289
[10] Turpin A, Loiko Y V, Kalkandkiev T K, Tomizawa H, Mompart J 2014 Opt. Lett. 39 4349
[11] O'Dwyer D P, Phelan C F, Rakovich Y P, Eastham P R, Lunney J G, Donegan J F 2011 Opt. Express 19 2580
[12] Darcy R T, McCloskey D, Ballantine K E, Jennings B D, Lunney J G, Eastham P R, Donegan J F 2013 Opt. Express 21 20394
[13] Grant S D, Zolotovskaya S A, Gillespie W A, Kalkandjiev T K, Abdolvand A 2014 Opt. Lett. 39 1988
[14] Peet V 2014 J. Opt. 16 075702
[15] Turpin A, Loiko Y V, Kalkandjiev T K, Corbaln R, Mompart J 2015 Phys. Rev. A 92 013802
[16] Wu F T, Jiang X G, Liu B, Qiu Z X 2009 Acta Phys. Sin. 58 2410 (in Chinese) [吴逢铁, 江新光, 刘彬, 邱振兴 2009 58 2410]
[17] Zhu Q C, Wu F T, Hu R, Feng C 2016 Acta Phys. Sin. 65 184101 (in Chinese) [朱清智, 吴逢铁, 胡润, 冯聪 2016 65 184101]
[18] Liu S, Li P, Zhang Y, Han L, Cheng H C, Zhao J L 2016 Acta Opt. Sin. 10 1026001 (in Chinese) [刘圣, 李鹏, 章毅, 韩磊, 程华超, 赵建林 2016 光学学报 10 1026001]
[19] O'Dwyer D P, Phelan C F, Ballantine K E, Rakovich Y P, Lunney J G, Donegan J F 2010 Opt. Express 18 27319
[20] Peinado A, Lizana A, Turpn A, Iemmi C, Kalkandjiev T K, Mompart J, Campos J 2015 Opt. Express 23 5636
[21] Turpin A, Kalkandjiev T K, Mompart J 2016 2016 15th Workshop on Information Optics Barcelona, Spain, July 11-15, 2016 p1
[22] Tovar A A 2001 J. Opt. Soc. Am. A 18 1897
[23] Turpin A, Loiko Y V, Peinado A, Lizana A, Kalkandjiev T K, Campos J, Mompart J 2015 Opt. Express 23 5704
[24] Loiko Y V, Turpin A, Kalkandjiev T K, Mompart J 2012 Proc. SPIE 8246 82460T
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