离轴点信标非等晕误差的数值模拟
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摘要
采用数值模拟的方法分析了不同离轴角距离、不同大气湍流强度及激光出光口径下,信标的纯角度非等晕误差对激光发射自适应光学系统(AO)校正效果的影响。同时针对离轴点信标,提出了一种去除整体倾斜的准直方法。数值模拟结果表明,在其他条件不变的情况下,信标离轴角距离越大,口径越大湍流强度越强,点信标离轴引起的纯角度非等晕误差越大,但较(θ/θ0)5/3偏小,与理论分析符合较好。通过数据拟合得出,当出光口径一定时,纯角度非等晕误差仅与θ/θ0有关。给出了纯角度非等晕误差与θ/θ0的定量关系,为快速评价角度非等晕误差提供了模型支持。
With numerical simulation codes,the pure angular anisoplanatism effects on laser projection adaptive optics(AO)correction are studied for different offset angular displacement,turbulence strength,and laser projection diameter.For offset point beacon,a method of eliminating tip-tilt is presented for beam collimation.The simulation result,which agrees with theoretical analysis,shows that the pure angular anisoplanatic error increases with the increase of the offset angle,the turbulence strength and the projection diameter,and is smaller than the value(θ/θ0)5/3.In a certain laser projection diameter,the curve fitting indicates that angular anisoplanatic error is only depended on the ratio ofθ/θ0.The mathematical relationship is obtained,which provides model support for rapid evaluation of angular anisoplanatic error.
With numerical simulation codes,the pure angular anisoplanatism effects on laser projection adaptive optics(AO)correction are studied for different offset angular displacement,turbulence strength,and laser projection diameter.For offset point beacon,a method of eliminating tip-tilt is presented for beam collimation.The simulation result,which agrees with theoretical analysis,shows that the pure angular anisoplanatic error increases with the increase of the offset angle,the turbulence strength and the projection diameter,and is smaller than the value(θ/θ0)5/3.In a certain laser projection diameter,the curve fitting indicates that angular anisoplanatic error is only depended on the ratio ofθ/θ0.The mathematical relationship is obtained,which provides model support for rapid evaluation of angular anisoplanatic error.
引文
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[11]G A Tyler.Wave-front compensation for imaging with off-axis guide stars[J].JOSA A,1994,11(1):339-346.
[12]罗曦,李新阳.信标湍流探测中波前非等晕问题的研究Ⅰ:数值建模[J].中国激光,2014,(6):232-241.LUO Xi,LI Xin-yang.Investigation of anisoplanatic effect in atmospheric turbulence probing with beaconⅠ:Numerical modeling[J].Chinese J.Lasers,2014,(6):232-241.
[13]罗曦,李新阳,邵力,等.信标湍流探测中波前非等晕问题的研究Ⅱ实验测量[J].中国激光,2014,41(6):612003.LUO Xi,LI Xin-yang,DENG Li,et al.Investigation of anisoplanatic effect in atmospheric turbulence probing with beaconⅡ:experimental measurement[J].Chinese J.Lasers,2014,41(6):612003.
[14]J D Schmidt.Numerical simulation of optical wave propagation with examples in MATLAB[M].Washington:SPIE Press,2010:87-103.
[15]古德曼.傅里叶光学导论[M].秦克诚,译.北京:电子工业出版社,2006:58-60.J W Goodman.Introduction to fourieroptics[M].QIN Ke-cheng Transl.Beijing:Publishing house of electronics industry,2006:58-60.
[16]R J Sasiela.Electromagnetic wave propagation in turbulence,Evaluation and application of Mellin Transform[M].2nd ed.Bellingham:SPIE Press,2007.
[2]J W Hardy.Adaptive optics for astronomical telescopes[M].New York:Oxford University Press,1998:101-103.
[3]P D Stroud.Anisoplanatism in adaptive optics compensation of a focused beam with use of distributed beacons[J].JOSA A,1996,13(4):868-874.
[4]R J Sasiela.Strehl ratios with various types of anisoplanatism[J].JOSA A,1992,9(8):1398-1405.
[5]范承玉,宋正方.激光导引星非等晕性的限制[J].中国激光,1996,23(8):724-726.FAN Cheng-yu,SONG Zheng-fang.The limit of anisoplanatism to laser guide star[J].Chinese J.Lasers,1996,23(8):724-726.
[6]沈锋,姜文汉.激光导引星大气湍流波前非等晕误差的相差模式分解[J].光学学报,2003,23(3):348-355.SHEN Feng,JIANG Wen-han.Modal decomposition of anisoplanatic error of atmospheric turbulence for a laser guide star[J].Acta Optica Sinica,2003,23(3)348-355.
[7]周钰,熊耀恒.1.2m望远镜自适应光学系统中激光导引星聚焦非等晕性[J].强激光与粒子束,2008,20(4):529-532.ZHOU Yu,XIONG Yao-heng.Focus anisoplanatism for 1.2 mtelescope laser guide stars in adaptive optics system[J].High Power Laser and Particle Beams,2008,20(4):529-532.
[8]闫伟,陈志华,杜太焦,等.聚焦不等晕性对自适应光学位相补偿影响的数值模拟[J].现代应用物理,2013,(4):330-334.YAN Wei,CHEN Zhi-hua,DU Tai-jiao,et al.Numerical simulation of the focus anisoplanatism effects on adaptive optics wavefront compensation[J].Modern Applied Physics,2013,(4):330-334.
[9]M A van Dam,R J Sasiela,A H Bouchez,et al.Angular anisoplanatism in laser guide star adaptive optics[C].SPIE,2006,6272:627231-627238.
[10]张建柱,张飞舟,吴毅.激光导星角度与聚焦非等晕性综合分析[J].强激光与粒子束,2014,26(3):26031017.ZHANG Jian-zhu,ZHANG Fei-zhou,WU Yi.Comprehensive analysis of angle and focal anisoplanatism of turbulent atmosphere for laser guide star[J].High Power Laser and Particle Beams,2014,26(3):26031017.
[11]G A Tyler.Wave-front compensation for imaging with off-axis guide stars[J].JOSA A,1994,11(1):339-346.
[12]罗曦,李新阳.信标湍流探测中波前非等晕问题的研究Ⅰ:数值建模[J].中国激光,2014,(6):232-241.LUO Xi,LI Xin-yang.Investigation of anisoplanatic effect in atmospheric turbulence probing with beaconⅠ:Numerical modeling[J].Chinese J.Lasers,2014,(6):232-241.
[13]罗曦,李新阳,邵力,等.信标湍流探测中波前非等晕问题的研究Ⅱ实验测量[J].中国激光,2014,41(6):612003.LUO Xi,LI Xin-yang,DENG Li,et al.Investigation of anisoplanatic effect in atmospheric turbulence probing with beaconⅡ:experimental measurement[J].Chinese J.Lasers,2014,41(6):612003.
[14]J D Schmidt.Numerical simulation of optical wave propagation with examples in MATLAB[M].Washington:SPIE Press,2010:87-103.
[15]古德曼.傅里叶光学导论[M].秦克诚,译.北京:电子工业出版社,2006:58-60.J W Goodman.Introduction to fourieroptics[M].QIN Ke-cheng Transl.Beijing:Publishing house of electronics industry,2006:58-60.
[16]R J Sasiela.Electromagnetic wave propagation in turbulence,Evaluation and application of Mellin Transform[M].2nd ed.Bellingham:SPIE Press,2007.