不同编码方法生成圆对称艾里光束的实验研究及其特性比较
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摘要
研究了傅里叶空间不同纯相位编码方法对产生圆对称艾里光束的影响,详细分析了目前常用的编码方法,并引入了另一种已有的编码方法与常用方法进行比较,研究发现这两种方法都能产生高质量的圆对称艾里光束。其中常用方法产生的光束理论上质量相对较高,且受光束参数影响较小,适应性广,但衍射效率低;另一种编码方法产生的光束质量理论上相对较差,且对光束参数的选择有一定要求,但优点是衍射效率高,约为原方法的2.4倍,对于激光加工、非线性激发等应用有较大的优势。使用两种方法实验产生了圆对称艾里光束,发现常用的编码方法衍射效率低使得实际光束的质量受噪音影响较大,而另一种编码方法产生的光束与理论结果吻合较好,实验验证了此种编码方法的可用性。
The influence of phase-only encoding method on the generation of circular Airy beams is investigated and the commonly used coding method is discussed in detail, which is compared with the other introduced encoding method. The results show that both methods can be used to produce high quality circular Airy beams. The beam generated by the commonly used method has a good quality, little affected by beam parameters, and has a wide application. Although, the quality of the beam generated by the other method is relatively poor, which is also dependent on beam parameters, the diffraction efficiency is high, 2.4 times that by the original method, which indicating that there exist many advantages on the applications of laser processing, nonlinear excitation, and so on. The circular Airy beams are generated experimentally by both methods. The experimental results show that the quality of the beam generated by the commonly used method is affected seriously by the background noise due to its low diffraction efficiency, while the beam generated by the other coding method is well consistent with the theoretical result and its feasibility is experimentally confirmed.
The influence of phase-only encoding method on the generation of circular Airy beams is investigated and the commonly used coding method is discussed in detail, which is compared with the other introduced encoding method. The results show that both methods can be used to produce high quality circular Airy beams. The beam generated by the commonly used method has a good quality, little affected by beam parameters, and has a wide application. Although, the quality of the beam generated by the other method is relatively poor, which is also dependent on beam parameters, the diffraction efficiency is high, 2.4 times that by the original method, which indicating that there exist many advantages on the applications of laser processing, nonlinear excitation, and so on. The circular Airy beams are generated experimentally by both methods. The experimental results show that the quality of the beam generated by the commonly used method is affected seriously by the background noise due to its low diffraction efficiency, while the beam generated by the other coding method is well consistent with the theoretical result and its feasibility is experimentally confirmed.
引文
[1] Siviloglou G A, Broky J, Dogariu A, et al. Observation of accelerating Airy beams[J]. Physical Review Letters, 2007, 99(21): 213901.
[2] Siviloglou G A, Christodoulides D N. Accelerating finite energy Airy beams[J]. Optics Letters, 2007, 32(8): 979-981.
[3] Minovich A E, Klein A E, Neshev D N, et al. Airy plasmons: non-diffracting optical surface waves[J]. Laser & Photonics Reviews, 2014, 8(2): 221-232.
[4] Qian J, Liu B Y, Sun H X,et al. Broadband acoustic focusing by symmetric Airy beams with phased arrays comprised of different numbers of cavity structures[J]. Chinese Physics B, 2017, 26(11): 114304.
[5] Li S Z, Shen X J, Wang L. Generation and control of self-accelerating Airy beams[J]. Chinese Journal of Lasers, 2018, 45(5): 0505003. 李绍祖, 沈学举, 王龙. 自加速艾里光束的生成及控制[J]. 中国激光, 2018, 45(5): 0505003.
[6] Wang Y Q, Ren Z J, Li X D. Poynting vector and angular momentum of accelerating quad Airy beams[J]. Acta Optica Sinica, 2015, 35(12): 1226001. 王雅倩, 任志君, 李晓东. 加速四艾里光束的坡印亭矢量及角动量研究[J]. 光学学报, 2015, 35(12): 1226001.
[7] Papazoglou D G, Efremidis N K, Christodoulides D N, et al. Observation of abruptly autofocusing waves[J]. Optics Letters, 2011, 36(10): 1842-1844.
[8] Efremidis N K, Christodoulides D N. Abruptly autofocusing waves[J]. Optics Letters, 2010, 35(23): 4045-4047.
[9] Koulouklidis A D, Papazoglou D G, Fedorov V Y, et al. Phase memory preserving harmonics from abruptly autofocusing beams[J]. Physical Review Letters, 2017, 119(22): 223901.
[10] Liu K, Koulouklidis A D, Papazoglou D G, et al. Enhanced terahertz wave emission from air-plasma tailored by abruptly autofocusing laser beams[J]. Optica, 2016, 3(6): 605-608.
[11] Panagiotopoulos P, Papazoglou D G, Couairon A, et al. Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets[J]. Nature Communications, 2013, 4: 2622.
[12] Huang L, Guo H L, Li J F, et al. Optical trapping of gold nanoparticles by cylindrical vector beam[J]. Optics Letters, 2012, 37(10): 1694-1696.
[13] Davis J A, Cottrell D M, Zinn J M. Direct generation of abruptly focusing vortex beams using a 3/2 radial phase-only pattern[J]. Applied Optics, 2013, 52(9): 1888-1891.
[14] Davis J A, Cottrell D M, Sand D. Abruptly autofocusing vortex beams[J]. Optics Express, 2012, 20(12): 13302-13310.
[15] Li N, Jiang Y F, Huang K K, et al. Abruptly autofocusing property of blocked circular Airy beams[J]. Optics Express, 2014, 22(19): 22847-22853.
[16] Manousidaki M, Papazoglou D G, Farsari M, et al. Abruptly autofocusing beams enable advanced multiscale photo-polymerization[J]. Optica, 2016, 3(5): 525-530.
[17] Davis J A, Cottrell D M, Campos J, et al. Encoding amplitude information onto phase-only filters[J]. Applied Optics, 1999, 38(23): 5004-5013.
[18] Davis J A, Smith D A, McNamara D E, et al. Fractional derivatives: analysis and experimental implementation[J]. Applied Optics, 2001, 40(32): 5943-5948.
[19] Wang Z, Bovik A C, Sheikh H R, et al. Image quality assessment: from error visibility to structural similarity[J]. IEEE Transactions on Image Processing, 2004, 13(4): 600-612.
[2] Siviloglou G A, Christodoulides D N. Accelerating finite energy Airy beams[J]. Optics Letters, 2007, 32(8): 979-981.
[3] Minovich A E, Klein A E, Neshev D N, et al. Airy plasmons: non-diffracting optical surface waves[J]. Laser & Photonics Reviews, 2014, 8(2): 221-232.
[4] Qian J, Liu B Y, Sun H X,et al. Broadband acoustic focusing by symmetric Airy beams with phased arrays comprised of different numbers of cavity structures[J]. Chinese Physics B, 2017, 26(11): 114304.
[5] Li S Z, Shen X J, Wang L. Generation and control of self-accelerating Airy beams[J]. Chinese Journal of Lasers, 2018, 45(5): 0505003. 李绍祖, 沈学举, 王龙. 自加速艾里光束的生成及控制[J]. 中国激光, 2018, 45(5): 0505003.
[6] Wang Y Q, Ren Z J, Li X D. Poynting vector and angular momentum of accelerating quad Airy beams[J]. Acta Optica Sinica, 2015, 35(12): 1226001. 王雅倩, 任志君, 李晓东. 加速四艾里光束的坡印亭矢量及角动量研究[J]. 光学学报, 2015, 35(12): 1226001.
[7] Papazoglou D G, Efremidis N K, Christodoulides D N, et al. Observation of abruptly autofocusing waves[J]. Optics Letters, 2011, 36(10): 1842-1844.
[8] Efremidis N K, Christodoulides D N. Abruptly autofocusing waves[J]. Optics Letters, 2010, 35(23): 4045-4047.
[9] Koulouklidis A D, Papazoglou D G, Fedorov V Y, et al. Phase memory preserving harmonics from abruptly autofocusing beams[J]. Physical Review Letters, 2017, 119(22): 223901.
[10] Liu K, Koulouklidis A D, Papazoglou D G, et al. Enhanced terahertz wave emission from air-plasma tailored by abruptly autofocusing laser beams[J]. Optica, 2016, 3(6): 605-608.
[11] Panagiotopoulos P, Papazoglou D G, Couairon A, et al. Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets[J]. Nature Communications, 2013, 4: 2622.
[12] Huang L, Guo H L, Li J F, et al. Optical trapping of gold nanoparticles by cylindrical vector beam[J]. Optics Letters, 2012, 37(10): 1694-1696.
[13] Davis J A, Cottrell D M, Zinn J M. Direct generation of abruptly focusing vortex beams using a 3/2 radial phase-only pattern[J]. Applied Optics, 2013, 52(9): 1888-1891.
[14] Davis J A, Cottrell D M, Sand D. Abruptly autofocusing vortex beams[J]. Optics Express, 2012, 20(12): 13302-13310.
[15] Li N, Jiang Y F, Huang K K, et al. Abruptly autofocusing property of blocked circular Airy beams[J]. Optics Express, 2014, 22(19): 22847-22853.
[16] Manousidaki M, Papazoglou D G, Farsari M, et al. Abruptly autofocusing beams enable advanced multiscale photo-polymerization[J]. Optica, 2016, 3(5): 525-530.
[17] Davis J A, Cottrell D M, Campos J, et al. Encoding amplitude information onto phase-only filters[J]. Applied Optics, 1999, 38(23): 5004-5013.
[18] Davis J A, Smith D A, McNamara D E, et al. Fractional derivatives: analysis and experimental implementation[J]. Applied Optics, 2001, 40(32): 5943-5948.
[19] Wang Z, Bovik A C, Sheikh H R, et al. Image quality assessment: from error visibility to structural similarity[J]. IEEE Transactions on Image Processing, 2004, 13(4): 600-612.