拉盖尔-高斯光束在凸台周围的气动光学效应
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摘要
为研究拉盖尔-高斯(LG)光束在经过凸台周围流场后的气动光学效应,采用二阶紧致差分和四阶龙格库塔积分对抛物型的复振幅方程进行求解,比较了具有不同拓扑荷数的LG光束在同一流场环境下的光强分布、同一光束在同一流场中数值仿真的光程差(OPD)分布与沿光束路径积分的OPD分布,以及不同拓扑荷数的LG光束与高斯光束在不同马赫数、不同攻角、不同海拔下的Strehl比(SR)以及成像偏移。仿真结果表明,在同一流场中,LG光束的拓扑荷数越大,振幅形态保持越好,但光强衰减越大,成像偏移越大。而同一流场下拓扑荷数对LG光束的SR数值几乎无影响,LG光束的相位稳定性均优于高斯光束。在振幅稳定性方面,与高斯光束相比,LG光束受海拔和攻角变化的影响更大。
To study the aero-optical effect of Laguerre-Gaussian(LG)beams passing through the flow field around a turret,we solve parabolic beam equations of complex amplitude by second-order compact differences and fourthorder Runge-Kutta integration.In the same flow field,light intensity distributions of LG beams with different topological charges,optical path differences(OPD)of the same beam calculated by numerical simulations and integrated along optical path are both compared.Strehl ratio(SR)and imaging displacement are calculated at different Mach numbers,different angles of attack,and different altitudes,and compared among Gaussian beam and LG beams with different topological charges.The simulation results show that in the same flow field,the larger topological charge the LG beam has,the better the shape of amplitude keeps,but the larger the attenuation and imaging displacement are.In the same flow field,the topological charges have nearly no impact on SR of LG beams,and the phase stability of LG beams is always better than Gaussian beam.Changes of altitude and angle of attack have bigger impact on the imaging displacement of LG beams compared with that of Gaussian beams.
To study the aero-optical effect of Laguerre-Gaussian(LG)beams passing through the flow field around a turret,we solve parabolic beam equations of complex amplitude by second-order compact differences and fourthorder Runge-Kutta integration.In the same flow field,light intensity distributions of LG beams with different topological charges,optical path differences(OPD)of the same beam calculated by numerical simulations and integrated along optical path are both compared.Strehl ratio(SR)and imaging displacement are calculated at different Mach numbers,different angles of attack,and different altitudes,and compared among Gaussian beam and LG beams with different topological charges.The simulation results show that in the same flow field,the larger topological charge the LG beam has,the better the shape of amplitude keeps,but the larger the attenuation and imaging displacement are.In the same flow field,the topological charges have nearly no impact on SR of LG beams,and the phase stability of LG beams is always better than Gaussian beam.Changes of altitude and angle of attack have bigger impact on the imaging displacement of LG beams compared with that of Gaussian beams.
引文
[1]Lucca N D,Gordeyev S,Jumper E J.The improvement of the aero-optical environment of a hemisphere-on-cylinder turret using vortex generators[C].44th AIAA Plasmadynamics and Lasers Conference,2013:3132-3147.
[2]Lucca N D,Gordeyev S,Jumper E J.Comparison of aero-optical Measurements from the flight test of full and hemispherical turrets on the airborne aero-optics laboratory[C].43rd AIAA Plasmadynamics and Lasers Conference,2012:2985-2997.
[3]Guo G M,Liu H,Zhang B.Aero-optical effects of an optical seeker with a supersonic jet for hypersonic vehicles in near space[J].Applied Optics,2016,55(17):4741-4751.
[4]Xu L F,Zhou Z C,Ren T R.Study of a weak scattering model in aero-optic simulations and its computation[J].Journal of the Optical Society of America A,2017,34(4):594-601.
[5]Porter C,Gordeyev S,Zenk M,et al.Flight measurements of aero-optical distortions from a flatwindowed turret on the airborne aero-optics laboratory(AAOL)[C].42nd AIAA Plasmadynamics and Lasers Conference,2011:3280-3296.
[6]Mani A,Wang M,Moin P.Statistical description of the free-space propagation of highly aberrated optical beams[J].Journal of the Optical Society of America A,2006,23(12):3027-3035.
[7]Feng D H,Li H,Xiao F,et al.Study on optical transmission effect of optical window′s cavity flow[J].Acta Optica Sinica,2012,32(4):0401004.冯定华,李烨,肖飞,等.光学窗口凹腔流场的光学传输效应研究[J].光学学报,2012,32(4):0401004.
[8]Zheng Y H,Sun H Y,Zhao Y Z,et al.Aerodynamic distortion propagation calculation in application of high-speed target detection by laser[J].Chinese Journal of Lasers,2015,42(8):0814004.郑勇辉,孙华燕,赵延仲,等.高速目标激光探测气动光畸变传输计算[J].中国激光,2015,42(8):0814004.
[9]Coullet P,Gil L,Rocca F.Optical vortices[J].Optics Communications,1989,73(5):403-408.
[10]Baumann S M,Kalb D M,MacMillan L H,et al.Propagation dynamics of optical vortices due to Gouy phase[J].Optics Express,2009,17(12):9818-9827.
[11]Lochab P,Senthilkumaran P,Khare K.Near-core structure of a propagating optical vortex[J].Journal of the Optical Society of America A,2016,33(12):2485-2490.
[12]Zhang Y Q,Djordjevic I B,Gao X.On the quantumchannel capacity for orbital angular momentum-based free-space optical communications[J].Optics Letters,2012,37(15):3267-3269.
[13]Aksenov V P,Kolosov V V,Pogutsa C E.Random wandering of laser beams with orbital angular momentum during propagation through atmospheric turbulence[J].Applied Optics,2014,53(17):3607-3614.
[14]Tang M M,Zhao D M.Propagation of multiGaussian Schell-model vortex beams in isotropic random media[J].Optics Express,2015,23(25):32766-32776.
[15]Willner A E,Huang H,Yan Y,et al.Optical communications using orbital angular momentum beams[J].Advances in Optics and Photonics,2015,7(1):66-106.
[16]Gordeyev S,Post M L,Mclaughlin T,et al.Aerooptical environment around a conformal-window turret[J].AIAA Journal,2007,45(7):1514-1524.
[17]Gordeyev S,Jumper E.Fluid dynamics and aerooptics of turrets[J].Progress in Aerospace Sciences,2010,46(8):388-400.
[18]Levy U,Derevyanko S,Silberberg Y.Light modes of free space[J].Progress in Optics,2016,61:237-281.
[19]White M D.High-order parabolic beam approximation for aero-optics[J].Journal of Computational Physics,2010,229(15):5465-5485.
[20]Mahajan V N.Strehl ratio forprimary aberration in terms of their aberration variance[J].Journal of the Optical Society of America A,1983,73(6):860-861.
[2]Lucca N D,Gordeyev S,Jumper E J.Comparison of aero-optical Measurements from the flight test of full and hemispherical turrets on the airborne aero-optics laboratory[C].43rd AIAA Plasmadynamics and Lasers Conference,2012:2985-2997.
[3]Guo G M,Liu H,Zhang B.Aero-optical effects of an optical seeker with a supersonic jet for hypersonic vehicles in near space[J].Applied Optics,2016,55(17):4741-4751.
[4]Xu L F,Zhou Z C,Ren T R.Study of a weak scattering model in aero-optic simulations and its computation[J].Journal of the Optical Society of America A,2017,34(4):594-601.
[5]Porter C,Gordeyev S,Zenk M,et al.Flight measurements of aero-optical distortions from a flatwindowed turret on the airborne aero-optics laboratory(AAOL)[C].42nd AIAA Plasmadynamics and Lasers Conference,2011:3280-3296.
[6]Mani A,Wang M,Moin P.Statistical description of the free-space propagation of highly aberrated optical beams[J].Journal of the Optical Society of America A,2006,23(12):3027-3035.
[7]Feng D H,Li H,Xiao F,et al.Study on optical transmission effect of optical window′s cavity flow[J].Acta Optica Sinica,2012,32(4):0401004.冯定华,李烨,肖飞,等.光学窗口凹腔流场的光学传输效应研究[J].光学学报,2012,32(4):0401004.
[8]Zheng Y H,Sun H Y,Zhao Y Z,et al.Aerodynamic distortion propagation calculation in application of high-speed target detection by laser[J].Chinese Journal of Lasers,2015,42(8):0814004.郑勇辉,孙华燕,赵延仲,等.高速目标激光探测气动光畸变传输计算[J].中国激光,2015,42(8):0814004.
[9]Coullet P,Gil L,Rocca F.Optical vortices[J].Optics Communications,1989,73(5):403-408.
[10]Baumann S M,Kalb D M,MacMillan L H,et al.Propagation dynamics of optical vortices due to Gouy phase[J].Optics Express,2009,17(12):9818-9827.
[11]Lochab P,Senthilkumaran P,Khare K.Near-core structure of a propagating optical vortex[J].Journal of the Optical Society of America A,2016,33(12):2485-2490.
[12]Zhang Y Q,Djordjevic I B,Gao X.On the quantumchannel capacity for orbital angular momentum-based free-space optical communications[J].Optics Letters,2012,37(15):3267-3269.
[13]Aksenov V P,Kolosov V V,Pogutsa C E.Random wandering of laser beams with orbital angular momentum during propagation through atmospheric turbulence[J].Applied Optics,2014,53(17):3607-3614.
[14]Tang M M,Zhao D M.Propagation of multiGaussian Schell-model vortex beams in isotropic random media[J].Optics Express,2015,23(25):32766-32776.
[15]Willner A E,Huang H,Yan Y,et al.Optical communications using orbital angular momentum beams[J].Advances in Optics and Photonics,2015,7(1):66-106.
[16]Gordeyev S,Post M L,Mclaughlin T,et al.Aerooptical environment around a conformal-window turret[J].AIAA Journal,2007,45(7):1514-1524.
[17]Gordeyev S,Jumper E.Fluid dynamics and aerooptics of turrets[J].Progress in Aerospace Sciences,2010,46(8):388-400.
[18]Levy U,Derevyanko S,Silberberg Y.Light modes of free space[J].Progress in Optics,2016,61:237-281.
[19]White M D.High-order parabolic beam approximation for aero-optics[J].Journal of Computational Physics,2010,229(15):5465-5485.
[20]Mahajan V N.Strehl ratio forprimary aberration in terms of their aberration variance[J].Journal of the Optical Society of America A,1983,73(6):860-861.