可调谐艾里光束及其传输特性
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摘要
艾里光束是一种新型无衍射光束,解决了激光在传播过程中的衍射效应。基于艾里变换技术,介绍一种可以通过椭圆平顶高斯光束产生的新型艾里光束,即可调谐艾里光束。通过理论计算,可以看出调节椭圆平顶高斯光束的束宽比可获得单尾艾里光束,同时,可调谐艾里光束的尾长可以通过调节入射椭圆平顶高斯光束的阶数来控制。通过研究,当束宽比p=1时,艾里光束的加速方向沿x轴45°方向;p=1/2时,加速方向沿x轴31°方向,p=1/3时,加速方向为沿x正方向,可见调节束宽比p的大小可以改变艾里光束的加速方向。
Having dealt with the diffraction effects of a propagating laser,the Airy beam is a new kind of beam with non-diffraction.In our paper,based on the Airy-transformation technique,we introduced a novel Airy beam with the tunable tail,which could be generated from the elliptical flat-topped Gaussian beam.Through calculation,the Airy beam with the single tail was obtained by adjusting the ration of the beam width of elliptical flat-topped Gaussian beam.And the tail length of Airy beam was controlled by the order N of incident beam.Research results show that the acceleration direction of Airy beam is 45°along xaxis with p=1,being 31°with p=1/2,and being xpositive direction with p=1/3.It can be seen that the acceleration direction of Airy beam could be adjusted by changing the values of p.
Having dealt with the diffraction effects of a propagating laser,the Airy beam is a new kind of beam with non-diffraction.In our paper,based on the Airy-transformation technique,we introduced a novel Airy beam with the tunable tail,which could be generated from the elliptical flat-topped Gaussian beam.Through calculation,the Airy beam with the single tail was obtained by adjusting the ration of the beam width of elliptical flat-topped Gaussian beam.And the tail length of Airy beam was controlled by the order N of incident beam.Research results show that the acceleration direction of Airy beam is 45°along xaxis with p=1,being 31°with p=1/2,and being xpositive direction with p=1/3.It can be seen that the acceleration direction of Airy beam could be adjusted by changing the values of p.
引文
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[15]Zhang Peng,Prakash Jai,Zhang Ze,et al.Trapping and guiding microparticles with morphing autofocusing Airy beams[J].Optics Letters,2011,36(15):2883-2885.
[16]Luo Dan,Dai H T,Sun X W,et al.Electrically switchable finite energy Airy beams generated by a liquid crystal cell with patterned electrode[J].Optics Communications,2010,283(20):3846-3849.
[17]Ellenbogen T,Voloch-Bloch N,Ganany-Padowicz A,et al.Nonlinear generation and manipulation of Airy beams[J].Nature Photonics,2009,3(7):395-398.
[18]Abramochkin E,Razueva E.Product of three Airy beams[J].Optics Letters,2011,36(19):3732-3734.
[19]Longhi S.Airy beams from a microchip laser[J].Optics Letters,2011,36(5):716-718.
[20]Yalizay B,Soylu B,Akturk S.Optical element for generation of accelerating Airy beams[J].Journal of the Optical Society of America A,2010,27(10):2344-2346.
[21]Jiang Yunfeng,Huang Kaikai,Lu Xuanhui.Airy-related beam generated from flat-topped Gaussian beams[J].Journal of the Optical Society of America A,2012,29(7):1412-1416.
[22]Morris J E,Mazilu M,Baumgartl J,et al.Propagation characteristics of Airy beams:dependence upon spatial coherence and wavelength[J].Optics Express,2009,17(15):13236-13245.
[23]Barwick S.Reduced side-lobe Airy beams[J].Optics Letters,2011,36(15):2827-2829.
[24]Collins S A.Lens-system diffraction integral written in terms of matrix optics[J].Journal of the Optical Society of America A,1970,60(9):1168-1177.
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[26]Vallée O,Soares M.Airy functions and applications to physics[M].London:Imperial College Press,2004.
[2]Durnin J.Exact solutions for nondiffracting beams.I.The scalar theory[J].Journal of the Optical Society of America A,1987,4(4):651-654.
[3]Durnin J,Miceli J J,Eberly J H.Diffraction-free beams[J].Physical Review Letters,1987,58(15):1499-1501.
[4]Gutiérrez-Vega J C,Iturbe-Castillo M D,ChávezCerda S.Alternative formulation for invariant optical fields:Mathieu beam[J].Optics Letters,2000,25(20):1493-1495.
[5]Bandres M A,Gutiérrez-Vega J C,Chávez-Cerda S.Parabolic nondiffracting optical wave fields[J].Optics Letters,2004,29(1):44-46.
[6]Siviloglou G A,Christodoulides D N.Accelerating finite energy Airy beams[J].Optics Letters,2007,32(8):979-981.
[7]Siviloglou G A,Broky J,Dogariu A,et al.Observation of accelerating Airy beams[J].Physical Review Letters,2007,99(21):213901-213901.
[8]Besieris I M,Shaarawi A M.A note on an accelerating finite energy Airy beam[J].Optics Letters,2007,32(16):2447-2449.
[9]Siviloglou G A,Broky J,Dogariu A,et al.Ballistic dynamics of Airy beams[J].Optics Letters,2008,33(3):207-209.
[10]Broky J,Siviloglou G A,Dogariu A,et al.Selfhealing properties of optical Airy beams[J].Optics Express,2008,16(17):12880-12891.
[11]Polynkin P,Kolesik M,Moloney J V,et al.Curved plasma channel generation using ultraintense Airy beams[J].Science,2009,324(5924):229-232.
[12]Baumgartl J,Mazilu M,Dholakia K.Optically mediated particle clearing using Airy wavepackets[J].Nature Photonics,2008,2(11):675-678.
[13]Li Jianxing,Zang Weiping,Tian Jianguo.Analysis of electron capture acceleration channel in an Airy beam[J].Optics Letters,2010,35(19):3258-3260.
[14]Li Jianxing,Fan Xiaolong,Zang W P,et al.Vacuum electron acceleration driven by two crossed Airy beams[J].Optics Letters,2011,36(5):648-650.
[15]Zhang Peng,Prakash Jai,Zhang Ze,et al.Trapping and guiding microparticles with morphing autofocusing Airy beams[J].Optics Letters,2011,36(15):2883-2885.
[16]Luo Dan,Dai H T,Sun X W,et al.Electrically switchable finite energy Airy beams generated by a liquid crystal cell with patterned electrode[J].Optics Communications,2010,283(20):3846-3849.
[17]Ellenbogen T,Voloch-Bloch N,Ganany-Padowicz A,et al.Nonlinear generation and manipulation of Airy beams[J].Nature Photonics,2009,3(7):395-398.
[18]Abramochkin E,Razueva E.Product of three Airy beams[J].Optics Letters,2011,36(19):3732-3734.
[19]Longhi S.Airy beams from a microchip laser[J].Optics Letters,2011,36(5):716-718.
[20]Yalizay B,Soylu B,Akturk S.Optical element for generation of accelerating Airy beams[J].Journal of the Optical Society of America A,2010,27(10):2344-2346.
[21]Jiang Yunfeng,Huang Kaikai,Lu Xuanhui.Airy-related beam generated from flat-topped Gaussian beams[J].Journal of the Optical Society of America A,2012,29(7):1412-1416.
[22]Morris J E,Mazilu M,Baumgartl J,et al.Propagation characteristics of Airy beams:dependence upon spatial coherence and wavelength[J].Optics Express,2009,17(15):13236-13245.
[23]Barwick S.Reduced side-lobe Airy beams[J].Optics Letters,2011,36(15):2827-2829.
[24]Collins S A.Lens-system diffraction integral written in terms of matrix optics[J].Journal of the Optical Society of America A,1970,60(9):1168-1177.
[25]Siegman A E,Hilborn R C.Lasers[J].American Journal of Physics,1987,55(151):862-863.
[26]Vallée O,Soares M.Airy functions and applications to physics[M].London:Imperial College Press,2004.