无衍射艾里光束的横向自加速特性
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摘要
无衍射艾里光束的横向自加速特性使得光束在自由空间沿弯曲路径进行传输成为可能。利用一维傍轴波动方程对新型无衍射艾里光束的横向自加速特性进行了仿真研究。研究表明,当入射波长一定时,艾里光束的横向加速度大小与传播距离呈正比关系,而与任意横向尺度的大小呈反比关系。同时,利用波印廷矢量对艾里光束横向自加速的内在机理进行了研究。最后,利用通用型液晶空间光调制器对二维艾里光束的产生和横向自加速特性进行了实验研究,所得结果与仿真计算结果取得了较好的一致性。
The transverse acceleration property of Airy beams makes it possible for beams to propagate along the curved trajectories in free space. The transverse acceleration propagation property of the new-type Airy beams was studied by utilizing the one-dimensional paraxial wave equation. The simulation results show that the transverse acceleration of Airy beam is relevant to the propagation distance and arbitrary transverse scale when the wavelength keeps constant. The transverse acceleration will become larger when the propagation distance becomes longer and the transverse scale becomes smaller. The Poynting vector was utilized to analyze the mechanism of accelerating property of Airy beams. Moreover,the two-dimensional finite Airy beam was generated by utilizing the universal liquid crystal spatial light modulator,and the experimental study on the transverse acceleration property of Airy beam was also carried out. The experimental results coincide well with the simulation results.
The transverse acceleration property of Airy beams makes it possible for beams to propagate along the curved trajectories in free space. The transverse acceleration propagation property of the new-type Airy beams was studied by utilizing the one-dimensional paraxial wave equation. The simulation results show that the transverse acceleration of Airy beam is relevant to the propagation distance and arbitrary transverse scale when the wavelength keeps constant. The transverse acceleration will become larger when the propagation distance becomes longer and the transverse scale becomes smaller. The Poynting vector was utilized to analyze the mechanism of accelerating property of Airy beams. Moreover,the two-dimensional finite Airy beam was generated by utilizing the universal liquid crystal spatial light modulator,and the experimental study on the transverse acceleration property of Airy beam was also carried out. The experimental results coincide well with the simulation results.
引文
[1] Berry M V,Balazs N L. Nonspreading wave packets[J].America Journal of Physics,1979,47(3):264-267.
[2] Siviloglou G A,Christodoulides D N. Accelerating finite energy Airy beams[J]. Optics Letters,2007,32(8):979-981.
[3] Siviloglou G A,Broky J,Dogariu A,et al. Observation of accelerating Airy beams[J]. Physical Review Letters,2007,99(21):213901.
[4]王晓章.基于相位空间光调制器的艾里光束产生和传输控制研究[D].哈尔滨:哈尔滨工业大学,2013.WANG Xiaozhang. Research on the generation of Airy beams and propagation controlled by using spatial light modulator[D].Harbin:Harbin Institute of Technology,2013.(in Chinese)
[5]程振,赵尚弘,楚兴春,等.艾里光束产生方法的研究进展[J].激光与光电子学进展,2015,52(3):70-79.CHENG Zhen,ZHAO Shanghong,CHU Xingchun,et al.Research progress of the generation methods of Airy beams[J]. Laser&Optoelectronics Progress,2015,52(3):70-79.(in Chinese)
[6] Voloch-Bloch N,Lereah Y,Lilach Y,et al. Generation of electron Airy beams[J]. Nature,2013,494(7437):331-335.
[7] Khilo N A,Belyi V N,Kazak N S,et al. Acoustooptic refraction-influenced generation of tunable incomplete Airy beams[J]. Journal of Optics,2014,16(8):085702.
[8] Ring J D,Howls C J,Dennis M R. Incomplete Airy beams:finite energy from a sharp spectral cutoff[J]. Optics Letters,2013,38(10):1639-1641.
[9] Peng Y L,Peng X,Chen B,et al. Interaction of AiryGaussian beams in Kerr media[J]. Optics Communications,2016,359:116-122.
[10] Chen P,Chen C D,Peng X,et al. Evolution of the ring Airy-Gaussian beams with a spiral phase in the Kerr medium[J]. Journal of Optics,2016,18(5):055504.
[11] Qian Y X,Zhang S T. Quasi-Airy beams along tunable propagation trajectories and directions[J]. Optics Express,2016,24(9):9489.
[12] Panagiotopoulos P,Couairon A,Kolesik M,et al. Nonlinear plasma-assisted collapse of ring-Airy wave packets[J].Physical Review A,2016,93(3):0338081.
[13] Chen B,Chen C D,Peng X,et al. Propagation of sharply autofocused ring Airy Gaussian vortex beams[J]. Optics Express,2015,23(15):19288-19298.
[14] Wang X Z,Li Q,Wang Q. Arbitrary scanning of the Airy beams using additional phase grating with cubic phase mask[J]. Applied Optics,2012,51(28):6726-6731.
[15] Wang X Z,Li Q,Zhi P X,et al. Generation and scanning of Airy beams array by combining multiphase patterns[J].Applied Optics,2013,52(13):3039-3047.
[16] Hu Y,Zhang P,Lou C,et al. Optimal control of the ballistic motion of Airy beams[J]. Optics Letters,2010,35(13):2260-2262.
[17] Bleckmann F,Minovich M,Moloney J V,et al. Manipulation of Airy surface plasmon beams[J]. Optics Letters,2013,38(9):1443-1445.
[18] Panagiotopoulos P,Papazoglou D G,Couairon A,et al.Sharply autofocused ring-Airy beams transforming into nonlinear intense light bullets[J]. Nature Communications,2013(4):2622.
[19] Abdollahpour D, Suntsov S, Papazoglou D G, et al.Spatiotemporal Airy light bullets in the linear and nonlinear regimes[J]. Physical Review Letters, 2010, 105(25):253901.
[20] Sztul H I,Alfano R R. The Poynting vector and angular momentum of Airy beams[J]. Optics Express, 2008,16(13):9411-9416.
[2] Siviloglou G A,Christodoulides D N. Accelerating finite energy Airy beams[J]. Optics Letters,2007,32(8):979-981.
[3] Siviloglou G A,Broky J,Dogariu A,et al. Observation of accelerating Airy beams[J]. Physical Review Letters,2007,99(21):213901.
[4]王晓章.基于相位空间光调制器的艾里光束产生和传输控制研究[D].哈尔滨:哈尔滨工业大学,2013.WANG Xiaozhang. Research on the generation of Airy beams and propagation controlled by using spatial light modulator[D].Harbin:Harbin Institute of Technology,2013.(in Chinese)
[5]程振,赵尚弘,楚兴春,等.艾里光束产生方法的研究进展[J].激光与光电子学进展,2015,52(3):70-79.CHENG Zhen,ZHAO Shanghong,CHU Xingchun,et al.Research progress of the generation methods of Airy beams[J]. Laser&Optoelectronics Progress,2015,52(3):70-79.(in Chinese)
[6] Voloch-Bloch N,Lereah Y,Lilach Y,et al. Generation of electron Airy beams[J]. Nature,2013,494(7437):331-335.
[7] Khilo N A,Belyi V N,Kazak N S,et al. Acoustooptic refraction-influenced generation of tunable incomplete Airy beams[J]. Journal of Optics,2014,16(8):085702.
[8] Ring J D,Howls C J,Dennis M R. Incomplete Airy beams:finite energy from a sharp spectral cutoff[J]. Optics Letters,2013,38(10):1639-1641.
[9] Peng Y L,Peng X,Chen B,et al. Interaction of AiryGaussian beams in Kerr media[J]. Optics Communications,2016,359:116-122.
[10] Chen P,Chen C D,Peng X,et al. Evolution of the ring Airy-Gaussian beams with a spiral phase in the Kerr medium[J]. Journal of Optics,2016,18(5):055504.
[11] Qian Y X,Zhang S T. Quasi-Airy beams along tunable propagation trajectories and directions[J]. Optics Express,2016,24(9):9489.
[12] Panagiotopoulos P,Couairon A,Kolesik M,et al. Nonlinear plasma-assisted collapse of ring-Airy wave packets[J].Physical Review A,2016,93(3):0338081.
[13] Chen B,Chen C D,Peng X,et al. Propagation of sharply autofocused ring Airy Gaussian vortex beams[J]. Optics Express,2015,23(15):19288-19298.
[14] Wang X Z,Li Q,Wang Q. Arbitrary scanning of the Airy beams using additional phase grating with cubic phase mask[J]. Applied Optics,2012,51(28):6726-6731.
[15] Wang X Z,Li Q,Zhi P X,et al. Generation and scanning of Airy beams array by combining multiphase patterns[J].Applied Optics,2013,52(13):3039-3047.
[16] Hu Y,Zhang P,Lou C,et al. Optimal control of the ballistic motion of Airy beams[J]. Optics Letters,2010,35(13):2260-2262.
[17] Bleckmann F,Minovich M,Moloney J V,et al. Manipulation of Airy surface plasmon beams[J]. Optics Letters,2013,38(9):1443-1445.
[18] Panagiotopoulos P,Papazoglou D G,Couairon A,et al.Sharply autofocused ring-Airy beams transforming into nonlinear intense light bullets[J]. Nature Communications,2013(4):2622.
[19] Abdollahpour D, Suntsov S, Papazoglou D G, et al.Spatiotemporal Airy light bullets in the linear and nonlinear regimes[J]. Physical Review Letters, 2010, 105(25):253901.
[20] Sztul H I,Alfano R R. The Poynting vector and angular momentum of Airy beams[J]. Optics Express, 2008,16(13):9411-9416.