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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 物理学报 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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