离轴两反无焦系统镜面结构选择及优化

Selection and optimization of mirror structure of off-axis two-mirror afocal system

  • 摘要: 根据非球面离轴两反光学系统的结构特征,利用初级像差理论对其成像特性进行分析,结合不同非球面的面形特征,推导了离轴系统像差的矢量表达式,利用赛德尔系数将系统的初级波像差进行展开,并具体计算了不同非球面面形组合下的系统像差值。确定了离轴两反结构的评价指标后,对不同面形组合的成像质量进行了比较。利用定量比较结果对最优面形选择方法进行分析,结果表明:相比其他镜面组合方式,离轴双抛物面系统的球差、彗差、像散均为0,波前RMS远优于λ/14(λ=0.587 6 μm),斯托列尔比大于0.8。根据计算结果可知,离轴双抛物面系统结构不仅具有更强的多种初级像差的抑制能力,而且还能有效压缩系统的体积。

     

    Abstract: According to the structural characteristics of aspheric off-axis two-mirror optical system, the imaging characteristics of the system were analyzed by using primary aberration theory. Based on the characteristics of different aspheric surfaces, the vector expression of system aberrations was derived. Using the Seidel coefficients, the primary wave aberration of systems were expanded and values of system aberration for different aspheric surface shapes were specifically calculated. After the evaluation index of the off-axis structure was determined, the imaging qualities of different surface shape combinations were compared. Then the optimal surface shape selection method was analyzed by quantitative comparison results. The results show that compared with other reflector combination methods, the spherical aberration, coma and astigmatism of the off-axis double paraboloid system are all 0, the wavefront RMS is much better than λ/14 (λ=0.587 6 μm), and the Strehl ratio is greater than 0.8. According to the calculation results, it not only has a stronger ability to suppress multiple primary aberrations, but also can effectively compress the volume of the system.

     

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