具有面形误差的角反射器反射特性研究
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摘要
通过采用矢量光学和光线追迹算法来建立具有面形误差角反射器的几何光路模型,可以得到各种面形误差、不同入射角和不同底面切割形状的有效反射面积;通过蒙特卡洛法对夫琅禾费衍射进行模拟,可以得到角反射器的远场衍射能量分布模型。针对三角形切割的球面面形误差的角反射器,介绍了角反射器内部光线路径和蒙特卡洛衍射,给出了具有不同球面面形误差的有效反射面积和衍射分布。以上分析手段可以为特殊用途角反射器、相位补偿和光行差角补偿等方案提供结构设计、优化和校验。
Vector optics and ray tracing method is used to build geometric optical path model for the Corner Cube Reflector( CCR) with non-flatness.And the effective reflection area for different surface errors,angle of incidence and bottom-cutting shape is obtained. Also,the far-field diffraction pattern of the CCR is obtained with the aid of the Monte-Carlo based Fraunhofer diffraction. For the triangle-cutting CCR with curved surfaces,we firstly presents the inside optical path and the method of the Fraunhofer diffraction based on Monte-Carlo simulation. Then,the effective reflection area and diffraction pattern for different curved surface errors are provided.The proposed analytical approach benefits the design,optimization and validation of some special CCRs,phase compensation and aberration angle compensation.
Vector optics and ray tracing method is used to build geometric optical path model for the Corner Cube Reflector( CCR) with non-flatness.And the effective reflection area for different surface errors,angle of incidence and bottom-cutting shape is obtained. Also,the far-field diffraction pattern of the CCR is obtained with the aid of the Monte-Carlo based Fraunhofer diffraction. For the triangle-cutting CCR with curved surfaces,we firstly presents the inside optical path and the method of the Fraunhofer diffraction based on Monte-Carlo simulation. Then,the effective reflection area and diffraction pattern for different curved surface errors are provided.The proposed analytical approach benefits the design,optimization and validation of some special CCRs,phase compensation and aberration angle compensation.
引文
[1]周斌,六秉琦,张瑜.斜入射下条件下角锥棱镜光学特性分析[J].激光与红外,2011,41(11):1231-1234.
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[11]LI Song,TANG Bei,ZHOU Hui.Calculation on Diffraction Aperture of Cube Corner Retroreflector[J].Chinese Optics Letters,2008,6(11):833-836.
[12]FUSS P,MOUSSU C,DA CUNHA P,et al.Study of the Diffraction by the Corner Cube[J].Proceedings of SPIE,2014,7100:710015-1-10.
[13]聂辉,翁兴涛,李松.角锥棱镜的远场衍射特性[J].光子学报,2003,23(12):1470-1474.
[14]李松,周辉,郑国兴,等.卫星角反射器有效衍射区域的研究[J].光子学报,2008,38(8):1920-1925.
[2]黄健,鲜浩,姜文汉,等.角锥棱镜的误差引起的反射光束相位误差分析[J].光子学报,2009,29(7):1951-1955.
[3]叶一东,彭勇,陈夭江,等.角锥后向反射器的数值模拟研究[J].光子学报,2003,23(4):485-490.
[4]周辉,李松,郑国兴,等.卫星角反射器精度对远场衍射模式的影响[J].光子学报,2009,29(1):60-66.
[5]袁礼海,李钊,葛家龙,等.利用点目标进行SAR辐射定标的方法研究[J].无线电工程,2009,39(1):25-28.
[6]莫锦军,袁乃昌.SAR校准常用参考目标分析与比较[J].无线电工程,1999,29(5):1-4.
[7]李福先.角锥棱镜误差检测数学建模分析[J].数值计算与计算机应用,2013,34(2):123-134.
[8]ECKHARDT H D.Simple Model of Corner Reflector Phenomena[J].Applied Optics,1970,10(7):1559-1566.
[9]石岩,李松,周辉,等.MATLAB在处理角锥棱镜菲涅尔衍射问题中的应用[J].光电子技术与信息,2005,18(3):85-88.
[10]DEMENT’EV V A,LAMEKIN P L,CHERNOV S M.Fraunhofer Diffraction at a Nonidealcorner with Flat Faces[J].Journal of Optical Technology,2005,72(11):837-842.
[11]LI Song,TANG Bei,ZHOU Hui.Calculation on Diffraction Aperture of Cube Corner Retroreflector[J].Chinese Optics Letters,2008,6(11):833-836.
[12]FUSS P,MOUSSU C,DA CUNHA P,et al.Study of the Diffraction by the Corner Cube[J].Proceedings of SPIE,2014,7100:710015-1-10.
[13]聂辉,翁兴涛,李松.角锥棱镜的远场衍射特性[J].光子学报,2003,23(12):1470-1474.
[14]李松,周辉,郑国兴,等.卫星角反射器有效衍射区域的研究[J].光子学报,2008,38(8):1920-1925.