A New Resonator With A Non─misaligned FourMirorReflectorAndItsEfectOnBeamQualityImprovementOfHighAveragePowerNd：YAGLasers

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猫眼谐振腔氦氖激光器理论分析

猫眼逆向器作为谐振腔镜与一个凹面镜构成猫眼激光谐振腔.精确计算了三种猫眼逆向器(即理想猫眼逆向器和两种存在误差的猫眼逆向器)的逆向平行反射性，并对应用这三种猫眼逆向器的谐振腔中高斯光束的各项参数进行了深入分析，得出结论：对于高斯光束，凸透镜的焦距、凹面镜曲率半径、凸透镜与凹面镜间距三者相等的猫眼逆向器为理想逆向器，其逆向平行反射性最好，此时猫眼谐振腔处于理想状态，基模模体积最大，远场发散角最小，稳定性最好；在猫眼谐振腔的设计中，要尽量减小猫眼逆向器中凸透镜的焦距，增大凹面输出镜的曲率半径；猫眼逆向器存在误差时谐振腔的各项性能将受到影响.为猫眼谐振腔激光器的设计提供了理论依据.     

射频激励相移阵列谐振腔波导CO2激光器输出特性研究

为保持器件结构紧凑型的同时获得稳定的高功率、高光束质量激光输出,将相移光学阵列谐振腔技术用于射频激励扩散型冷却板条波导CO₂激光器．实验发现,该设计方案虽然波导结构为矩形宽波导,但是由于采用了具有相移阵列结构的全反射镜,获得的激光束输出空间分布具有阵列输出光束的基本特征．在波导截面为1mm×20mm、增益介质长度为20cm的波导结构条件下,获得了46W的激光功率输出和11.3%的电光转换效率．激光束输出的远场空间分布呈空间压缩的极锐单峰．由于该结构具有的选模特性,远场为单峰空间分布特 关键词：     

射频激励相移阵列谐振腔波导CO2 激光器输出特性研究

In this paper, an optical array resonator with phase-shifting end mirror has been combined with the RF-excited diffusively cooled slab waveguide CO₂ lasers to obtain a desirable output laser beam with single-peaked far-field intensity distribution, which is highly spatially suppressed with the merits of high brightness and good characteristics of propagation. In the experiments, a maximum output power of 46 W and highest conversion efficiency of 11.3% have been obtained from a 200-mm-gain-length device. The laser beam intensity distribution acquired has similar characteristics to the ouptut beam from laser arrays due to the periodical structure of the phase-shifting total reflector, and has an excellent stability due to the mode-selection capability of this type of resonator. In this paper, theoretical analysis is also given, based on which corresponding theoretical model is established, the practical feasibility is shown, and the laser beam output with characteristics of in-phase array mode is predicted. The systematical experimental investigation indicates the prominent influence of the parameters of the phase-shifting array end mirror on the property of the output beam. Furthermore, the manufacturing errors of the phase-shifted array resonator are analyzed and the analysis provides a theoretical guide to the design of this type of lasers.     

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。     

A Novel Smith-Purcell FEL

A novel Smith-Purcell FEL with a relativistic electron beam of middle energy and a quasi-optical resonator composed of diffraction grating and three mirror reflector is described in this paper. Coherent radiation with peak power of tens of KW at 3 mm waveband is successfully detected from an experimental facility characterized by beam energy of 400-500 KeV, pulse length of 70 ns, pulse beam current of 0.2 KA, and pulse guide magnetic field of up to 1.2 T.     

High beam quality in a HyBrID copper laser operating with an unstable resonator made of a concave mirror and a plano-convex BK7 lens

This paper presents a very simple unstable resonator, made of a concave mirror (total reflector) and a bare plane–convex BK7 lens working as a convex coupling mirror, which is quite efficient for HyBrID copper laser. In addition to a good quality factor (M²=4.9), experimental results showed that it is possible to control the laser output power by introducing a variable aperture iris inside the cavity, close to the coupling lens, without spoiling beam quality. A rough theoretical model helped to explain these results as a combined effect of unstable resonator plus radial gain distribution.     

Folded diffractive laser resonators with user-defined fundamental mode

The adjustment effort required for the alignment of laser resonators with arbitrarily shaped end mirrors can be significantly reduced by folding the resonator path half-way between the two end mirrors and by slightly tilting the resonator axis. Thus the resulting resonator consists only of one diffractive mirror and a plane mirror, and the separate alignment of both diffractive end mirrors with respect to each other can be avoided. This principle is demonstrated by a Nd:YAG laser with super-Gaussian output beam. Furthermore, it is shown theoretically that the influence of phase quantization effects on the beam quality can be strongly reduced as a consequence of the tilted resonator axis.     

空间谐振式陀螺谐振腔的失调分析

为了克服平面谐振腔调节精度高、损耗大的困难,提出了一种新型空间谐振式陀螺的谐振腔结构。并利用光学变换矩阵和菲涅尔-基尔霍夫衍射积分公式建立数学模型,通过MATLAB仿真计算谐振腔各腔镜因失调引起的衍射损耗。计算结果表明当谐振腔边长为4cm,入射光束束腰半径为0.25mm时,凹面镜的曲率半径为0.397m,反射镜失调引起的衍射损耗近似为0,即失调对陀螺的性能没有影响。得到陀螺的极限灵敏度为1.54°/h。     

大口径薄片激光器失调输出特性

对大口径的薄片激光器的失调输出特性进行了理论和实验研究,V-型腔由平面输出耦合镜和凹面反射镜及孔径光阑组成。基于矩阵光学和失调衍射积分方程得到了激光器的功率失调曲线。实验测量了在200 Hz泵浦频率下加入不同孔径光阑后谐振腔失调对输出功率的影响和谐振腔失调对光束质量的影响,以及在300 Hz泵浦频率下输出功率分别与平面输出耦合镜和凹面反射镜失调的关系。实验结果表明:失调输出功率和失调角度成二次函数关系,失调容限和腔镜口径成正比,光束质量因子随失调角度的增大而变小。     

Spatially coherent radiation from a coaxial free-electron laser with a resonator composed of one-dimensional and two-dimensional Bragg mirrors

It is shown that the application of a resonator composed of one-dimensional and two-dimensional coaxial Bragg mirrors provides a spatially coherent radiation from a hollow electron beam with a transverse size several orders of magnitude larger than the wavelength. The two-dimensional Bragg mirror placed at the cathodic end of the resonator synchronizes the radiation across the hollow electron beam. The standard one-dimensional Bragg mirror placed at the collector end closes the feedback loop and reduces ohmic losses to as low as 5–10% of the lasing power.     

非稳腔中调腔孔对光束质量的影响

在中、远红外波段的激光器中，组成谐振腔的反射镜基底材料多数是对可见光不透明的，采用在腔镜上开一小孔输入调腔光方法是最简便的。本文用Ｆｏｘ－Ｌｉ迭代法计算了无开孔及有开孔时正支非稳共焦腔空腔的模式，结果表明当调腔光开孔直径小于３ｍｍ时，对光束质量基本没有影响。     

Hybrid optical resonator type laser proposed for direct coupling into optical fiber

Combining one stable resonator with a concave mirror and a coupling-hole plane mirror, and another unstable resonator having a concave mirror and a convex mirror, a new hybrid optical resonator type laser has been proposed by overlapping the concave mirror as a common one and fitting the convex mirror exactly to the coupling-hole. Using theABCD law, the so-called g-parameters are first found for beam confinement. Then, based on the eigen-equation, the field distribution on the plano-convex mirror is obtained with the g-parameters above. Knowing this field distribution results in an effective transmittanceG _{e e}. Finally, the ratio of the inner convex to outer plane mirror radii can be determined for an optimum coupling in both the limiting cases of homogeneously and inhomogeneously broadened gain media. Some numerical examples will also be given for a CO₂ laser having the proposed hybrid resonator.     

猫眼激光谐振腔横模选择特性研究

将猫眼逆向器作为激光谐振腔的一个腔镜组成猫眼谐振腔。介绍了猫眼逆向器的结构,阐述了猫眼逆向器中凸透镜和凹面镜的间距改变时猫眼曲率半径的相应变化,并通过有效地控制该间距来选择激光横模,从而保证基横模输出。在激光谐振腔衍射积分方程的基础上,运用牛顿柯特斯数学方法,对不同参量下的猫眼激光谐振腔的横模状况进行分析,得出了各阶横模对应的特征值和功率损耗,计算出保证基横模输出的参量,并与实验对比,得到了一致的结论,为激光器的横模选择和控制提供了一种简便易行的新方法。     

200兆赫高功率CW锁模YAG激光泵浦源研究

本文报导一台200MHz 12W平均功率的CW锁模Nd:YAG激光泵浦源,输出脉宽约100ps,能够可靠地长期稳定运转。     

Study on the possibilities of controlling the laser output beam properties by an intracavity deformable mirror

The possibilities of controlling the laser beam properties by a deformable mirror introduced into the laser optical cavity were studied theoretically and experimentally. The experiments were performed under conditions of an industrial high power transverse flow cw CO₂ laser operating with a stable resonator of a folded configuration. A deformable bimorph mirror of a surface profile controlled by the voltage applied to the mirror electrodes is implemented to the laser system as a back cavity mirror or as a one of the inner folding mirrors. The near-and far-field characteristics of the laser beam versus the resonator configuration controlled by the changes of the focal length of the deformable mirror are discussed in the paper. The analysis reveals that the resonator with an inner deformable mirror is much more sensitive to the mirror curvature variations than the resonator in which the deformable mirror is used as a back cavity mirror. The presented results show that dynamic and controllable changes in the resonator properties result in the controlled modification and optimisation of the laser output power and spatial parameters of the laser radiation.     

Modeling of vertical external cavity semiconductor laser with MQW resonant structure

Numerical model is developed for modeling pulsed operation of a vertical external cavity semiconductor laser (VECSEL) with a resonant gain structure. Properties of optical modes for compound resonator formed by Bragg reflector, chip boundary and external spherical mirror were studied. For above threshold operation carrier density in each of quantum wells (QW) obeys non-linear diffusion equation with a source supplied by electron-hole pairs generated in barrier layers by pump radiation or fast electron beam. A new iteration procedure for round-trip operator evaluation was developed, which provides linear growth of computation time with the number of QWs. Results of numerical simulations are reported for a VECSEL comprising 25 QW in resonant configuration and the output spherical mirror with curvature radius 3 cm. Variation of distance to the external mirror is found to result in notable changes in power and optical quality of the output beam. The decisive role of gain and index non-linearity in these changes is identified. A range of values of distance to external mirror is found where iterative procedure does not converge. In another range, the resulting solution depends on the initial conditions for the iteration procedure.     

磁致伸缩换能器辐射板形状对声场分布的影响

磁致伸缩换能器可作为热声制冷机的声源装置,辐射板的形状直接影响声压输出效率,从而影响制冷效果。为提高换能器工作效率、减小换能器体积,辐射板需在Terfenol-D棒的激励下产生大振幅、高频率的活塞振型。针对这一问题,应用ATILA软件分析了磁致伸缩换能器辐射板形状对谐振腔振动幅频特性的影响以及对谐振腔内声场分布的影响。结果表明:相同激励条件下,凹球面辐射板出现活塞振型时振幅最大,对应谐振腔中声压幅值最高;谐振腔端面形状为凹球面时,具有聚焦声压幅值的作用;端面形状为凹发射端-凸反射端组合的谐振腔内声压幅值最高。以上结论为合理设计辐射板、谐振腔两端面组合形状提供了参考。     

Misalignment sensitivity of the cat’s eye cavity He-Ne laser

A concave mirror and a cat’s eye reflector acting as a resonator mirror form the cat’s eye cavity. Misalignment sensitivities of the cat’s eye cavity and conventional resonator are both analyzed in geometric method and matrix optics with misalignment sensitivity parameter. Valuable conclusions are drawn: in full-external He-Ne laser, cat’s eye cavity can improve the laser stability up to about 60 times better than the conventional one; diffraction loss introduced by the misalignment of the cat’s eye cavity attributes to the straight-line displacement vertical to the laser bore of the cat’s eye reflector; and with the convex lens center of the cat’s eye reflector secured immobile, the ultra-stable and adjustment-free cat’s eye cavity He-Ne laser is obtained. The analysis matches the experiment results very well. Cavities with three kinds of dimension errors are also calculated. This paper could be used as theoretic foundation for the design and application of cat’s eye cavity lasers.     

Analysis of a right-angle conical reflector resonator by the transfer matrix method

A resonator with a right-angle conical reflector has been proposed to produce high-power CO₂ laser beams. To analyze eigenfields of the right-angle conical reflector resonator, this paper adopts and demonstrates the transfer matrix method. In this paper, the mode-fields and corresponding losses are described as eigenvectors and eigenvalues of a transfer matrix according to the self-reproducing principle of laser field. By solving the transfer matrix for eigenvectors and eigenvalues, we obtain field distributions and losses of the dominant eigenmodes. The calculation results reveal that the right-angle conical reflector resonator could be used for a high-power CO₂ laser to achieve low-order modes. However, the beam quality is reduced due to the residual blind-hole, which is in accord with the experimental result.