Design of solar concentrated uniform linear light source of composite ellipsoid cavity
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摘要:
为了实现太阳光直接泵浦板条高功率激光器，对均匀线形高功率密度泵浦源进行研究。本文提出由一级聚光系统与7个共焦点椭球叠加形成二级聚光系统（复合椭球腔），组合实现高功率密度均匀线光源的设计方法。每个椭球可对圆形第一焦斑进行等辐射通量分割，镜像成像特点使得峰值功率密度未明显下降，分解后镜像光斑在第二焦点处形成均匀线光源。通过坐标变化给出等辐射通量数学模型，利用退火算法求解出每个椭球旋转平移参量。由半径为30 mm，焦距为70 mm菲涅尔透镜和
a =3.4 mm，c =3.15 mm单椭球腔组成一级系统，附带二级复合椭球腔聚光系统，可实现有效长度为12 mm，峰值功率密度为1.09×106 W/m2，均匀度为95.46%线光源。对比每个椭球参量对均匀度贡献，中间椭球旋转参量θ 为1.4°，均匀度改善明显，边缘椭球参量Δ 改变对线光源有效长度影响显著，其最佳值为0.53 mm。Abstract:In order to implement a solar direct pumping slab high power laser, a linear uniform high-power density pump source is studied. In this paper, we propose a design method of a high-power density uniform linear light source by combining the first-order concentrating system with seven confocal ellipsoids to form a composite ellipsoid cavity. The equal radiation flux segmentation of the circular first focal spot is realized by each ellipsoid. The mirror imaging characteristics do not significantly decrease the peak power density. After decomposition, the mirror spot forms a uniform linear light source at the second point of focus. The mathematical model of equal radiation flux is given by coordinate transform, and the rotation and translation parameters of each ellipsoid are solved by the annealing algorithm. The first-order system is composed of a Fresnel lens with a radius of 30 mm, a focal length of 70 mm and a single ellipsoidal cavity with
a of 3.4 mm,c of 3.15 mm, The second-order composite ellipsoidal cavity concentrating system is attached. The line source is realized with effective length of 12 mm, the peak power density of 1.09 × 106 W/m2, and the uniformity of 95.46 %. Compared with the contribution of each ellipsoid parameter to the uniformity, the uniformity effect is significantly improved when the rotation parameterθ of the middle ellipsoid is 1.4°. The change of the edge ellipsoid parameterΔ has a significant influence on the effective length of the linear light source, and its optimal value is 0.53 mm. -
图 2 三复合椭球形成的线光源示意图
Figure 2. Schematic diagram of linear light source through three composite ellipsoids
图 8 优化后均匀线光源辐射照度图
Figure 8. Illumination distribution of uniform line light after optimization
表 1 复合椭球腔α、θ、Δ计算结果
Table 1. Results of α, θ, Δ of composite ellipsoid cavities
L3 L2 L1 M R1 R2 R3 θ /° 1.24 1.27 1.25 1.20 1.25 1.27 1.24 α /° −7.50 −5.42 −2.51 0 2.51 5.42 7.50 Δ /mm 0.621 0.300 0.075 0 0.075 0.300 0.621 
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表 2 优化后复合椭球腔α、θ、Δ值
Table 2. Optimized α, θ, Δ of composite ellipsoid cavities
L3 L2 L1 M R1 R2 R3 θ /° 1.45 1.40 1.28 1.45 1.28 1.40 1.45 α /° −7.50 −5.40 −2.30 0 2.30 5.40 7.50 Δ /mm 0.53 0.30 0.08 0 0.08 0.30 0.53
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