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无衍射光束(如贝塞尔光束、艾里光束)因具有无衍射、自愈合的特性, 在很多领域都有广泛的应用. 本文提出使用纯相位型空间光调制器对光场的复振幅进行调控, 从而可以产生多种复杂模式的无衍射光束, 如强度可独立调控的多个零阶贝塞尔光束, 两个高阶贝塞尔光束干涉生成的花瓣状无衍射光束, 具有多个主瓣的加速光束等特殊的无衍射光束. 通过在待测焦场附近放置一个平面反射镜, 使其沿光轴快速扫描光场, 并由数字相机同步拍摄反射回来的一系列二维光场强度分布信息, 可实现对无衍射光束三维光场强度分布的快速测量和表征. 本实验方法和技术可以快速产生各种复杂的特殊光场并获得其精确的三维可视化重建效果, 在光学显微、光学俘获、光学微加工等领域有潜在的应用价值.Nondiffracting optical beams play an important role in contemporary optics due to their special propagation characteristics, i.e., nondiffracting in a diffraction-free zone, shape recovering behind obstacles or self-healing property. Liquid crystal spatial light modulators (LC-SLM) are widely used for generating nondiffracting optical beams in virtue of programmable and dynamic features. In this paper, we propose a complex amplitude modulation technique that can encode any scalar complex fields for generating the complex nondiffracting beams. Before experiment, the phase modulation curve of the phase-only LC-SLM is optimized into being linear in a range of 0-2πby gamma correction in the way of variable binary phase gratings. Then, we experimentally generate the nonaccelerating beams, e.g., two zero-order Bessel beams with variable intensity distributions, and the nondiffracting petal-like beams generated by interfering with two coaxial Bessel beams. By scanning a reflection mirror near the focal region along the optical axis, a stack of two-dimensional images is acquired, and then a three-dimensional intensity profile of the beam is reconstructed with a software. We also experimentally demonstrate a new kind of multi-main-lobe accelerating beam with parabolic accelerating trajectory by modifying the spatial spectrum of classical Airy beam. Compared with the so-called vectorial accelerating beam with multiple main lobes in spheroidal coordinates, our generated two-main-lobe accelerating beam has a very high energy efficiency. The self-healing property of the two-main-lobe accelerating beam is also demonstrated. The presented technique can generate a variety of complex nondiffracting optical beams rapidly and obtain their three-dimensional intensity distributions accurately, which has potential applications in the fields of optical microscope, optical date storage, optical trapping, optical micromachining, etc.
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Keywords:
- modulation of complex amplitude /
- nondiffracting optical beams /
- 3D reconstruction of optical beams
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[1] Durnin J, Miceli J, Eberly H 1987 Phys. Rev. Lett. 58 1499
[2] Siviloglou G A, Christodoulides D N 2007 Opt. Lett. 32 979
[3] Siviloglou G A, Broky J, Dogariu A, Christodoulides D N 2007 Phys. Rev. Lett. 99 213901
[4] Grier D G 2003 Nature 424 810
[5] Baumgartl J, Mazilu M, Dholakia K 2008 Nat. Photon. 2 675
[6] Ran L L, Guo Z Y, Qu S L 2012 Chin. Phys. B 21 104206
[7] Zhao M, Zhang H, Li Y, Ashok A, Liang R, Zhou W, Peng L 2014 Biomed. Opt. Express 5 1296
[8] Jia S, Vaughan J C, Zhuang X 2014 Nat. Photon. 8 302
[9] Faccio D, Rubino E, Lotti A, Couairon A, Dubietis A, Tamosauskas G, Papazoglou D G, Tzortzakis S 2012 Phys. Rev. A 85 033829
[10] Polynkin P, Kolesik M, Moloney J V, Siviloglou G A, Christodoulides D N 2009 Science 324 229
[11] Yu X, Yao B, Lei M, Hampp N, Liang Y, Dan D, Yang Y, Yan S, Gao P, Ye T 2014 Appl. Phys. B 115 365
[12] Mathis A, Courvoisier F, Froehly L, Furfaro L, Jacquot M, Lacourt P A, Dudley J M 2012 Appl. Phys. Lett. 101 071110
[13] Chattrapiban N, Rogers E A, Cofield D, Hill T W, Roy R 2003 Opt. Lett. 28 2183
[14] Zhang P, Hu Y, Li T, Cannan D, Yin X, Morandotti R, Chen Z, Zhang X 2012 Phys. Rev. Lett. 109 193901
[15] Yu X H, Yao B L, Li X Y, Liu S L, Lei M, Li R Z, Liang Y S, Zhou X, Wu D, Dan D, Min J W, Yan S H 2015 Acta Phys. Sin. 64 024218 (in Chinese) [于湘华, 姚保利, 李新宇, 刘石磊, 雷铭, 李润泽, 梁言生, 周兴, 吴迪, 但旦, 闵俊伟, 严绍辉 2015 64 024218]
[16] Davis J A, Cottrell D M, Campos J, Yzuel M J, Moreno I 1999 Appl. Opt. 38 5004
[17] Arrizon V, Ruiz U, Carrada R, Gonzalez L A 2007 J. Opt. Soc. Am. A 24 3500
[18] Zhu L, Wang J 2014 Sci. Rep. 4 7441
[19] Theisen M J, Head S T, Brown T G, Cillmer S R, Ellis J D 2014 Proc. SPIE 8949 8949x
[20] Ando T, Ohtake Y, Matsumoto N, Inoue T, Fukuchi N 2009 Opt. Lett. 34 34
[21] Han W, Yang Y, Cheng W, Zhan Q 2013 Opt. Express 21 20692
[22] Suzaki Y, Tachibana A 1975 Appl. Opt. 14 2809
[23] Bauer T, Orlov S, Peschel U, Banzer P, Leuchs G 2014 Nat. Photon. 8 23
[24] Radwell N, Boukhet M A, Franke-Arnold S 2013 Opt. Express 21 22215
[25] Roichman Y, Cholis I, Grier D G 2006 Opt. Express 14 10907
[26] Shanblatt E R, Grier D G 2011 Opt. Express 19 5833
[27] Engstrom D, Persson M, Bengtsson J, Goksor M 2013 Opt. Express 21 16086
[28] Lei M, Yao B, Rupp R A 2006 Opt. Express 14 5803
[29] Yan S, Li M, Yao B, Yu X, Lei M, Dan D, Yang Y, Min J, Peng T 2015 Phys. Lett. A 379 983
[30] Aleahmad P, Miri M A, Mills M S, Kaminer I 2012 Phys. Rev. Lett. 109 203902
[31] Alonso M A, Bandres M A 2012 Opt. Lett. 37 5175
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