小级数Ince-Gaussian光束光强模式分析
|
摘要
研究了因斯-高斯(IG)光束级数m较小时,分立光瓣模式的光强分布。通过数值模拟,对IG奇偶模式以及奇偶模式线性叠加生成的PIG分立光瓣模式的光强进行了分析。分析结果表明:m较小时,PIG分立光瓣模式光瓣的空间位置介于奇偶模式之间,但是光瓣的光强分布变化较为明显。同一模式光瓣角向椭圆变量越接近于椭圆长轴,其光强比重越大。在统一总光强后,相同阶数与级数的不同模式光瓣总光强与角向椭圆变量差为一个三次函数的关系。对于偶模椭圆长轴上的光瓣,随着该模式通过PIG~(π/2)模式转化为奇模,该光瓣上的光强分布逐渐由弥散向着逆时针方向集中。
The intensity distribution of discrete light petal mode was studied when series of m of Ince-Gaussian( IG) light beam was lower. By numerical simulation,odd and even modes of IG beam,and its linear superposition Ince-Gaussian beam with initial( PIG) mode was analyzed. The results show that the spatial position of light petal of the PIG mode is located at the center of the odd and even mode when the series of m is lower. However,the light intensity distribution of the PIG mode changes dramatically. For the same mode of the PIG beam,the intensity percent of one petal is higher when its angular elliptic variables are closer to the major axis of the ellipse. With uniform total light intensity,the relation between the petal total intensity and the difference of the angular elliptic variables is conformed to a cubic function for the same order and different series modes. The intensity distribution of the petal in the major axis of the even mode is changed from dispersion to focus in the anticlockwise direction when the mode is changed from PIG~(π/2) mode to odd mode.
The intensity distribution of discrete light petal mode was studied when series of m of Ince-Gaussian( IG) light beam was lower. By numerical simulation,odd and even modes of IG beam,and its linear superposition Ince-Gaussian beam with initial( PIG) mode was analyzed. The results show that the spatial position of light petal of the PIG mode is located at the center of the odd and even mode when the series of m is lower. However,the light intensity distribution of the PIG mode changes dramatically. For the same mode of the PIG beam,the intensity percent of one petal is higher when its angular elliptic variables are closer to the major axis of the ellipse. With uniform total light intensity,the relation between the petal total intensity and the difference of the angular elliptic variables is conformed to a cubic function for the same order and different series modes. The intensity distribution of the petal in the major axis of the even mode is changed from dispersion to focus in the anticlockwise direction when the mode is changed from PIG~(π/2) mode to odd mode.
引文
[1]BANDRES M A,GUTIERREZ-VEGA J C.Ince-Gaussian beams[J].Optics letters,2004,29(2):144-146.
[2]BANDRES M A,GUTIERREZ-VEGA J C.Elliptical beams[J].Optics express,2008,16(25):21087-21092.
[3]CHU S C,YANG C S,OTSUK A K.Vortex array laser beam generation from a Dove prism-embedded unbalanced MachZehnder interferometer[J].Optics express,2008,16(24):19934-19949.
[4]GUTIERREZ-VEGA J C.Characterization of elliptic dark hollow optical beams[C]//Digest of the Leos Summer Topical Meetings.2008:7-8.
[5]ALPMANN C,WOERDEMANN M,DENZ C.Tailored light fields:Ince Gaussian beams offer novel opportunities in optical micromanipulation[C]//Conference on Lasers&Electro-Optics Europe,IEEE.2011.
[6]BAI Z Y,DENG D M,GU O Q.Elegant Ince-Gaussian beams in a quadratic-index medium[J].Chinese physics b,2011,20(9):094202.
[7]WOERDEMANN M,ALPMANN C,DENZ C.Optical assembly of microparticles into highly ordered structures using InceGaussian beams[J].Applied physics letters,2011,98(11):111101.
[8]PARRA-HINOJOSA A,GUTIERREZ-VEGA J C.Fractional Ince equation with a Riemann-Liouville fractional derivative[J].Applied mathematics and computation,2013,219(22):10695-10705.
[9]LEI J,HU A,WANG Y,et al.A method for selective excitation of Ince-Gaussian modes in an end-pumped solid-state laser[J].Applied physics b(lasers and optics),2014,117(4):1129-1134.
[10]FORBES A,LIZOTTE T E,MELLADO-VILLASENOR G,et al.Experimental generation of Hermite-Gauss and Ince-Gauss beams through kinoform phase holograms[C]//SPIE Optical Engineering Applications,International Society for Optical Engineering.2015.
[11]HAN S,LIU Y,ZHANG F,et al.Direct generation of subnanosecond Ince-Gaussian modes in microchip laser[J].LEEE photonics journal,2015,7(1):4500206.
[12]REN Y X,FANG Z X,GONG L,et al.Dynamic generation of Ince-Gaussian modes with a digital micromirrordevice[J].Journal of applied physics,2015,117(13):133106.
[13]PENG Y,CHEN B,PENG X,et al.Self-accelerating Airy-Ince-Gaussian and Airy-helical-Ince-Gaussian light bullets in free space[J].Optics express,2016,24(17):18973-18985.
[14]BANDRES M A,GUTIERREZ-VEGA J C.Ince-Gaussian modes of the paraxial wave equation and stable resonators[J].Journal of the optical society of america a,2004,21(5):873-880.
[15]SCHWARZ U T,BANDRES M A,GUTIERREZ-VEGA J C.Observation of Ince-Gaussian modes in stable resonators[J].Optics letters,2004,29(16):1870-1872.
[16]BENTLEY J B,DAVIS J A,BANDRES M A,et al.Generation of helical Ince-Gaussian beams with a liquid-crystal display[J].Optics letters,2006,31(5):649-651.
[17]KENJU O,SHU-CHUN C.Generation of vortex array beams from a thin-slice solid-state laser with shaped wide-aperture laser-diode pumping[J].Optics letters,2009,34(1):10-12.
[18]CHUN-FU K,SHU-CHUN C.Numerical study of the properties of optical vortex array laser tweezers[J].Optics express,2013,21(22):281-288.
[19]马海祥,李新忠,李贺贺,等.相位差因子调控的Ince-Gaussian光束空间模式分布研究[J].光学学报,2017,37(6):0626002.
[20]WOERDEMANN M,ALPMANN C,ESSELING M,et al.Advanced optical trapping by complex beam shaping[J].Laser&photonics reviews,2013,7(6):839-854.
[2]BANDRES M A,GUTIERREZ-VEGA J C.Elliptical beams[J].Optics express,2008,16(25):21087-21092.
[3]CHU S C,YANG C S,OTSUK A K.Vortex array laser beam generation from a Dove prism-embedded unbalanced MachZehnder interferometer[J].Optics express,2008,16(24):19934-19949.
[4]GUTIERREZ-VEGA J C.Characterization of elliptic dark hollow optical beams[C]//Digest of the Leos Summer Topical Meetings.2008:7-8.
[5]ALPMANN C,WOERDEMANN M,DENZ C.Tailored light fields:Ince Gaussian beams offer novel opportunities in optical micromanipulation[C]//Conference on Lasers&Electro-Optics Europe,IEEE.2011.
[6]BAI Z Y,DENG D M,GU O Q.Elegant Ince-Gaussian beams in a quadratic-index medium[J].Chinese physics b,2011,20(9):094202.
[7]WOERDEMANN M,ALPMANN C,DENZ C.Optical assembly of microparticles into highly ordered structures using InceGaussian beams[J].Applied physics letters,2011,98(11):111101.
[8]PARRA-HINOJOSA A,GUTIERREZ-VEGA J C.Fractional Ince equation with a Riemann-Liouville fractional derivative[J].Applied mathematics and computation,2013,219(22):10695-10705.
[9]LEI J,HU A,WANG Y,et al.A method for selective excitation of Ince-Gaussian modes in an end-pumped solid-state laser[J].Applied physics b(lasers and optics),2014,117(4):1129-1134.
[10]FORBES A,LIZOTTE T E,MELLADO-VILLASENOR G,et al.Experimental generation of Hermite-Gauss and Ince-Gauss beams through kinoform phase holograms[C]//SPIE Optical Engineering Applications,International Society for Optical Engineering.2015.
[11]HAN S,LIU Y,ZHANG F,et al.Direct generation of subnanosecond Ince-Gaussian modes in microchip laser[J].LEEE photonics journal,2015,7(1):4500206.
[12]REN Y X,FANG Z X,GONG L,et al.Dynamic generation of Ince-Gaussian modes with a digital micromirrordevice[J].Journal of applied physics,2015,117(13):133106.
[13]PENG Y,CHEN B,PENG X,et al.Self-accelerating Airy-Ince-Gaussian and Airy-helical-Ince-Gaussian light bullets in free space[J].Optics express,2016,24(17):18973-18985.
[14]BANDRES M A,GUTIERREZ-VEGA J C.Ince-Gaussian modes of the paraxial wave equation and stable resonators[J].Journal of the optical society of america a,2004,21(5):873-880.
[15]SCHWARZ U T,BANDRES M A,GUTIERREZ-VEGA J C.Observation of Ince-Gaussian modes in stable resonators[J].Optics letters,2004,29(16):1870-1872.
[16]BENTLEY J B,DAVIS J A,BANDRES M A,et al.Generation of helical Ince-Gaussian beams with a liquid-crystal display[J].Optics letters,2006,31(5):649-651.
[17]KENJU O,SHU-CHUN C.Generation of vortex array beams from a thin-slice solid-state laser with shaped wide-aperture laser-diode pumping[J].Optics letters,2009,34(1):10-12.
[18]CHUN-FU K,SHU-CHUN C.Numerical study of the properties of optical vortex array laser tweezers[J].Optics express,2013,21(22):281-288.
[19]马海祥,李新忠,李贺贺,等.相位差因子调控的Ince-Gaussian光束空间模式分布研究[J].光学学报,2017,37(6):0626002.
[20]WOERDEMANN M,ALPMANN C,ESSELING M,et al.Advanced optical trapping by complex beam shaping[J].Laser&photonics reviews,2013,7(6):839-854.