Effective Reflection Area of a Cube Corner Retroreflector

The effective reflection area of a cube corner retroreflector is defined. It is testified for a cube corner retroreflector (CCR) that the ray reflected from a CCR is not parallel with the ray incident on the CCR undersurface. The effective reflection area of CCR is calculated when the ray incident on the CCR undersurface vertically, and the effective reflection area of a CCR is two thirds of the CCR undersurface.     

立方角锥棱镜的有效反射区

定义了立方角锥棱镜的有效反射区 ,证明了立方角锥棱镜底面角部区域 (即非有效反射区 )入射光与出射光不平行 ,并且在入射光垂直棱镜底面入射情况下计算得有效反射区的面积为底面的三分之二。     

Calculation on diffraction aperture of cube corner retroreflector

On the basis of optical property of cube corner retroreflector （CCR）, a new perception and calculation approach for diffraction aperture of CCR in two different forms is presented. The relationship between diffraction apertures and incident light with six different combinations of reflection order and incident angle is established. Far-field diffraction patterns of CCR under various incident conditions are also provided.     

角锥后向反射器的数值模拟研究

鉴于实际应用的需要，考虑角锥反射器的二面角加工误差，采用矩阵光学和矢量运算方法，建立了一套适合于数值模拟的角锥反射器的后向反射数学模型，给出了角锥后向反射器光束变换及衍射传输的公式和数值模拟计算方法。分别针对理想角锥后向反射器和有二面角加工误差的角锥反射器，研究了反射光束的传输特性，分桥了入射角和传输距离对近场和远场能量分布的影响。根据卫星搭载角锥反射器的特殊要求，讨论了速差补偿方法和设计等问题，并针对卫星姿态控制的两种情况，分别提出了速差补偿的设计方案。     

机载角反射器阵列设计

 低轨目标目前流行的类半球状布阵方式的远程角偏小,测距盲区较大。对角锥棱镜进行研究分析,依据角反射器光束入射角度允许变化范围,合理分布角反射器,设计了一机载激光反射器装置,外形尺寸为119 mm×88.8 mm,共有15个角锥棱镜,底面切割成正六边形,底面边长为15.5 mm,底面对边距为26.87 mm,有效通光口径为25 mm,高为19 mm。考虑到角反射器的速差效应及其补偿要求,角锥棱镜最大角误差为5″,面形最大误差为5″。通过合理设计,比较单层角反射器,增加了入射光允许的角度范围,大大减小了低轨目标的测试盲区。     

折叠式角锥棱镜谐振腔的偏振特性理论与实验研究

建立了角锥棱镜的偏振模型,分析了角锥棱镜对入射线偏振光的偏振态的影响,分析表明角锥棱镜的单个入射区域存在特殊的偏振方向,该方向的线偏振光被角锥棱镜反射后仍然是线偏振光。利用角锥棱镜的该特性设计了腔内存在线偏振光振荡的角锥棱镜激光谐振腔,能够使用电光开关调Q,在振动环境中具有较好的抗失调稳定性。研制了激光器样机并进行了实验,在重复频率为10 Hz时,输出激光单脉冲能量大于300 mJ,光束质量因子β值在2左右,实验结果也表明角锥棱镜的棱和顶点并不影响输出激光的光束质量。     

折叠式角锥棱镜谐振腔的偏振特性理论与实验研究

建立了角锥棱镜的偏振模型,分析了角锥棱镜对入射线偏振光的偏振态的影响,分析表明角锥棱镜的单个入射区域存在特殊的偏振方向,该方向的线偏振光被角锥棱镜反射后仍然是线偏振光。利用角锥棱镜的该特性设计了腔内存在线偏振光振荡的角锥棱镜激光谐振腔,能够使用电光开关调Q,在振动环境中具有较好的抗失调稳定性。研制了激光器样机并进行了实验,在重复频率为10 Hz时,输出激光单脉冲能量大于300 mJ,光束质量因子β值在2左右,实验结果也表明角锥棱镜的棱和顶点并不影响输出激光的光束质量。     

Calculation of the light intensity distribution reflected by a planar corner-cube retroreflector array with the size of centimeter and above

The light intensity distribution (LID) reflected by a planar corner-cube retroreflector array with the size of centimeter and above (PCCRA) is calculated based on the Collins formula, coordinate transformation matrixes and vector algebra. The expression can be used for the PCCRAs with different parameters and different complex optical systems described by ABCD matrix. The expression indicates that the LID of a PCCRA is much different from a single corner-cube retroreflector (CCR) with equivalent aperture. Computer simulations are applied to explain the expression clearly. The results show that the LID of the PCCRA is more homogeneous than the single CCR with equivalent aperture under circumstances of both normal incident light and oblique incident light. In addition, the expression is proved by comparing the simulation result of the PCCRA only comprising a single CCR and the previous experimental result.     

Analysis of retroreflector-introduced spectrum distortion in birefringent crystal-based interleaver filters

Spectrum distortion in a birefringent crystal-based interleaver filter introduced by the right-angle total internal reflection retroreflector is studied. The phase shift between two perpendicularly polarized components of the polarized light incident onto the retroreflector is calculated. The sensitivity of the phase shift to the incident angle for different materials from which the retroreflector is made is also considered. This study indicates that the phase shift is less sensitive to the incident angle for retroreflectors having a higher index of refraction, suggesting a fixed-phase compensator that can be used to cancel out the phase shift introduced by the retroreflector to recover the interleaver filter's spectrum. The fold-back 50 GHz channel spacing birefringent crystal interleaver filter is fabricated to demonstrate that the spectrum distortion due to the phase shift introduced by retroreflector can be eliminated by a phase compensator.     

角锥棱镜的直角面面形问题

从一个侧面论述了角锥棱镜直角面面形误差所导致的出射波面像差及两面直角误差之间的定量关系 ,因而可以分别从后两者的精度要求提出对面形误差的要求。对于高精度的角锥棱镜 ,直角面面形问题应如同两面直角误差一样受到重视和关注     

The phase mode of reflected beam from laser retroreflector with dihedral angle and flatness error

The phase mode of reflected beam (PMRB) is the most important factor for determining the far field diffraction pattern (FFDP) with laser retroreflector (LR). Based on the structure of LR and ray tracing method, the additional optical path difference of the light beam with various incident angle passed through no ideal LR is induced. Combined with the expression of incident beam, the mathematical PMRB is established for LR with dihedral angle and flatness error under different incident beam conditions. The FFDP with the phase mode is simulated for Champ laser retroreflector, which validates the correctness of PMRB.     

New method for calculating reflected wave fronts of acute retroreflectors with tuned dihedral angle

An acute retroreflector having dihedral angles of 45, 60 and 90 deg exactly reflects incident rays in the opposite direction. Beam pattern or wave front of the reflected light of the acute retroreflector can be controlled by tuning dihedral angles. We present here a new method for calculating the reflected wave front of the acute retroreflector, in which the wave front is calculated with high accuracy and in a shorter calculation time than by the conventional ray trace method.     

利用含二面角误差的角锥棱镜阵列实现反射光束均匀发散的方法

角锥棱镜常应用于光电跟踪、卫星通信、干涉仪等领域.在一些特殊应用场合中,要求经角锥棱镜反射的光束具有一定的发散角,以实现对距离激光器较远位置处探测器的覆盖.由于标准角锥棱镜不具备对光束发散的功能,本文利用含二面角误差的角锥棱镜对反射光束的不均匀发散特性,提出利用角锥棱镜阵列实现对反射光束均匀发散的方法和设计原则.采用衍射光学理论分析了所提方法及其设计原则的可行性,并依此设计了一个发散半角为0.5 mrad的角锥棱镜阵列.分析了光束参数、结构参数对反射光束远场衍射特性的影响,结果表明,入射光斑强度分布对反射光束发散半角没有影响,当角锥阵列满足点光源条件时,传输距离对反射光斑的角向均匀性没有影响;当阵元数超过一定值时,均匀性不再显著变化,但反射光斑的强度将进一步增加.在工程应用中,角锥棱镜阵列安装方位角误差对反射特性影响不显著,但角锥棱镜二面角的加工精度对反射特性影响较大,可通过进一步增加阵元数加以解决.     

角锥阵列改善固体热容激光器光束质量

 为改善光束远场质量,探索研究了角锥反射器的应用,利用角锥棱镜的准相位共轭特性,将角锥棱镜阵列作为热容激光器的后腔镜,抑制腔内波前畸变,并通过数值模拟计算对角锥阵列的单元边长进行优化设计。实验结果表明:角锥阵列对光束远场质量有明显的改善,当角锥阵列的单元边长为4 mm时,实现光束远场7倍衍射极限输出。     

Experimental demonstration of coherent beam combining over a 7 km propagation path

We demonstrate coherent combining (phase locking) of seven laser beams emerging from an adaptive fiber-collimator array over a 7 km atmospheric propagation path using a target-in-the-loop (TIL) setting. Adaptive control of the piston and the tip and tilt wavefront phase at each fiber-collimator subaperture resulted in automatic focusing of the combined beam onto an unresolved retroreflector target (corner cube) with precompensation of quasi-static and atmospheric turbulence-induced phase aberrations. Both phase locking (piston) and tip-tilt control were performed by maximizing the target-return optical power using iterative stochastic parallel gradient descent (SPGD) techniques. The performance of TIL coherent beam combining and atmospheric mitigation was significantly increased by using an SPGD control variation that accounts for the round-trip propagation delay (delayed SPGD).     

HL-2M 装置CO2 色散干涉仪的金属角锥反射镜特性研究

针对金属角锥反射镜的加工装配误差对传输光路的影响,研究了金属角锥反射镜二面角误差与反射光束的关系。详细分析了金属角锥反射镜表面面型及形态对反射特性的影响,并对不同角锥反射镜各个区域的反射率进行测量对比,对金属角锥反射镜的偏振特性也进行分析。研究结果表明,应用于HL-2M 装置CO₂ 色散干涉仪中金属角锥反射镜的表面面形加工精度应在0.3μm 之内,二面角的装调误差宜为正公差且控制在30'内,且表面镀膜的膜层牢固不易脱落。     

HL-2M װ��CO2 ɫɢ�����ǵĽ����׶���侵�����о�

For the influence of the mental retroreflector processing and installation error on the optical propagation, the relationship between the dihedral angle error of the retroreflector and the reflected beam was studied. The impacts of the surface and morphology of retroreflector on reflection properties was analyzed, and the reflectivity of different retroreflector cone was measured and compared. The polarization characteristics of retroreflector was also analyzed. According to the study results, for the retroreflector in CO₂ dispersion interferometer on HL-2M tokamak, the surface machining accuracy should be within 0.3μm, the dihedral angle error should be a positive tolerance and controlled within 30', the surface coating is firm and uneasy to fall off.     

Rayleigh wave scattering from a vertical edge of isotropic substrates

The paper numerically studies the harmonic Rayleigh wave scattering at the 90-degree corner of isotropic substrate. The finite element method is used. The main attention is paid to two cases. The first one is the apex of the substrate corner is rounded off. The second one consists in that a layer of foreign material is deposited on the face which scatters the Rayleigh wave. The dependence of the reflection and the transmission coefficients on the Poisson ratio, the angle of incidence, the fillet radius, and the layer thickness are obtained. It is found that if the Rayleigh wave is incident perpendicularly to the substrate border, then the fillet of small radius as compared to the wavelength increases the reflection coefficient and decreases the transmission coefficient by factors 1.3–1.8. At normal incidence, the Poisson ratio does not change qualitatively the dependence of the reflection and transmission coefficients on the fillet radius. But the Poisson ratio can substantially affect the angle dependence of these coefficients if the wave is incident obliquely on the corner rounded off. It is also found out that a layer can modify the conditions of scattering such that the incident wave is totally reflected without transmission and conversion into bulk waves in a wide interval of angle of incidence, although, in principle, the bulk wave generation is allowed within a part of this angle interval.     

Fabrication of corner cube array retro-reflective structure with DLP-based 3D printing technology

In this article, the fabrication of a corner cube array retro-reflective structure is presented by using DLP-based 3D printing technology. In this additive manufacturing technology a pattern of a cube corner array is designed in a computer and sliced with specific software. The image of each slice is then projected from the bottom side of a reservoir, containing UV cure resin, utilizing a DLP video projector. The projected area is cured and attached to a base plate. This process is repeated until the entire part is made. The best orientation of the printing process and the effect of layer thicknesses on the surface finish of the cube has been investigated. The thermal reflow surface finishing and replication with soft molding has also been presented in this article.     

Study on Optimum Incident Angles of Cross Polarized Four-Wave Mixing with a Photorefractive Crystal

We consider the optimum incident angles of cross polarized four-wave mixing with a photorefractive crystal. First, the phase matching angles are obtained for two operation modes: one in which the writing beams are ordinary rays and the reading beam is an extraordinary ray, we call this Mode 1. The other in which the writing beams are extraordinary rays and the reading beam is an ordinary ray, Mode 2. Next, practicable ranges of the incident angles are calculated considering of the total internal reflection of the phase conjugate beam in cases where the two writing beams illuminate the same surface of the BaTiO₃ crystal and where they illuminate the neighboring right-angled surfaces, respectively. Then, the coupling coefficient is determined as a function of the incident angle, and the optimum incident angles for effective beam interaction in Mode 1 and Mode 2 are estimated.