微弧度量级远场发散角光束发射系统的设计与实现
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摘要
建立了发射光束通过带有波像差的望远镜系统后的远场光斑分布数学模型,采用数值计算,结合Monte Carlo方法分析了波像差方均根(RMS)值对发射光束远场发散角的影响,据此确定望远镜波像差的容差,以实现特定发射光束的远场发散角。结果表明:对于采用偏轴发射方案的激光通信系统,当望远镜的波像差RMS值优于0.13λ(λ为光束的波长)时,发射光束远场发散角小于10μrad,当RMS值小于0.2λ时,发射光束远场发散角小于16.2μrad,且仍有60%的概率小于10μrad。在实验室中,不同温度下望远镜波像差及其对应的发射光束远场发散角的测试结果很好地验证了以上分析结果。
A mathematical model of the far-field beam distribution is built after the transmitted beam passes through the telescope with wave-front error.The effect of root mean square(RMS)value of wave-front error on the divergence angle of the transmitted beam is analyzed by numerical calculation combined with Monte Carlo method.Based on this,the tolerance of the telescope wave-front error required by the far-field divergence angle of the transmitted beam is determined.The analysis results show that for the laser communication system which the transmitted beam is off-axis on the telescope pupil,the far-field divergence angle is smaller than 10μrad when the RMS of wave-front error is smaller than 0.13λ(λis the light wavelength).The far-field divergence angle is smaller than 16.2μrad when the RMS is smaller than 0.2λand the probability of the divergence angle smaller than 10μrad is 60%.The testing results of the wave-front errors of the telescope at different temperatures and the corresponding far-field divergence angles of the transmitted beams are well coincided with the analysis results.
A mathematical model of the far-field beam distribution is built after the transmitted beam passes through the telescope with wave-front error.The effect of root mean square(RMS)value of wave-front error on the divergence angle of the transmitted beam is analyzed by numerical calculation combined with Monte Carlo method.Based on this,the tolerance of the telescope wave-front error required by the far-field divergence angle of the transmitted beam is determined.The analysis results show that for the laser communication system which the transmitted beam is off-axis on the telescope pupil,the far-field divergence angle is smaller than 10μrad when the RMS of wave-front error is smaller than 0.13λ(λis the light wavelength).The far-field divergence angle is smaller than 16.2μrad when the RMS is smaller than 0.2λand the probability of the divergence angle smaller than 10μrad is 60%.The testing results of the wave-front errors of the telescope at different temperatures and the corresponding far-field divergence angles of the transmitted beams are well coincided with the analysis results.
引文
[1]Romba J,Sodnik Z,Reyes M,et al.ESA′s bidirectional space-to-ground laser communication experiments[C].SPIE,2004,5550:287-299.
[2]Toyoshima M,Takizawa K,Kuri T,et al.Groundto-OICETS laser communication experiments[C].SPIE,2006,6304:63040B.
[3]Biswas A,Kovalik J M,Wright M W,et al.LLCD operations using the optical communications telescope laboratory(OCTL)[C].SPIE,2014,8971:89710X.
[4]Yu S,Ma Z,Wu F,et al.Overview and trend of steady tracking in free-space optical communication links[C].SPIE,2015,9521:95210N.
[5]Yao C,Wang H,Zhang Z,et al.Wave front error modeling and control method for large aperture optical unit in high power solid-state laser[J].Acta Optica Sinica,2017,37(7):0714003.姚超,王辉,张政,等.高功率固体激光器中大口径光学器件波前误差的建模及控制方法[J].光学学报,2017,37(7):0714003.
[6]Morio T,Nobuhiro T,Takashi J,et al.Mutual alignment errors due to the variation of wave-front aberrations in a free-space laser communication link[J].Optics Express,2001,9(11):593-602.
[7]Sun J F,Liu L R,Yun M J,et al.Mutual alignment errors due to wave-front aberrations in intersatellite laser communications[J].Applied Optics,2005,44(23):4953-4958.
[8]Tan L Y,Yang Y Q,Ma J,et al.Pointing and tracking errors due to localized deformation in intersatellite laser communication links[J].Optics Express,2008,16(17):13372-13380.
[9]Mu J,Zhou K N,Wang X,et al.Effect of wavefront distortion on beam pointing detection in coherent combination of large aperture beams[J].Chinese Journal of Lasers,2017,44(6):0605001.母杰,周凯南,王逍,等.波前畸变对大口径光束相干合成中光束指向探测的影响[J].中国激光,2017,44(6):0605001.
[10]Liu H Z,Huang X G.Analysis of far-field divergence of a Gaussian beam with phase variation under circular aperture diffraction[J].Acta Photonica Sinica,2007,36(11):2138-2141.刘宏展,黄旭光.圆孔限制下有相位变化的高斯光束远场发散度的理论分析[J].光子学报,2007,36(11):2138-2141.
[2]Toyoshima M,Takizawa K,Kuri T,et al.Groundto-OICETS laser communication experiments[C].SPIE,2006,6304:63040B.
[3]Biswas A,Kovalik J M,Wright M W,et al.LLCD operations using the optical communications telescope laboratory(OCTL)[C].SPIE,2014,8971:89710X.
[4]Yu S,Ma Z,Wu F,et al.Overview and trend of steady tracking in free-space optical communication links[C].SPIE,2015,9521:95210N.
[5]Yao C,Wang H,Zhang Z,et al.Wave front error modeling and control method for large aperture optical unit in high power solid-state laser[J].Acta Optica Sinica,2017,37(7):0714003.姚超,王辉,张政,等.高功率固体激光器中大口径光学器件波前误差的建模及控制方法[J].光学学报,2017,37(7):0714003.
[6]Morio T,Nobuhiro T,Takashi J,et al.Mutual alignment errors due to the variation of wave-front aberrations in a free-space laser communication link[J].Optics Express,2001,9(11):593-602.
[7]Sun J F,Liu L R,Yun M J,et al.Mutual alignment errors due to wave-front aberrations in intersatellite laser communications[J].Applied Optics,2005,44(23):4953-4958.
[8]Tan L Y,Yang Y Q,Ma J,et al.Pointing and tracking errors due to localized deformation in intersatellite laser communication links[J].Optics Express,2008,16(17):13372-13380.
[9]Mu J,Zhou K N,Wang X,et al.Effect of wavefront distortion on beam pointing detection in coherent combination of large aperture beams[J].Chinese Journal of Lasers,2017,44(6):0605001.母杰,周凯南,王逍,等.波前畸变对大口径光束相干合成中光束指向探测的影响[J].中国激光,2017,44(6):0605001.
[10]Liu H Z,Huang X G.Analysis of far-field divergence of a Gaussian beam with phase variation under circular aperture diffraction[J].Acta Photonica Sinica,2007,36(11):2138-2141.刘宏展,黄旭光.圆孔限制下有相位变化的高斯光束远场发散度的理论分析[J].光子学报,2007,36(11):2138-2141.