焦明印. 光学系统实现热补偿的通用条件[J]. 应用光学, 2006, 27(3): 195-197.
引用本文: 焦明印. 光学系统实现热补偿的通用条件[J]. 应用光学, 2006, 27(3): 195-197.
JIAO Ming-yin. General conditions for thermal compensation in optical systems[J]. Journal of Applied Optics, 2006, 27(3): 195-197.
Citation: JIAO Ming-yin. General conditions for thermal compensation in optical systems[J]. Journal of Applied Optics, 2006, 27(3): 195-197.

光学系统实现热补偿的通用条件

General conditions for thermal compensation in optical systems

  • 摘要: 运用光学系统的近轴成像公式,推导出微分形式的物面位于任意位置时热补偿的通用条件,包括薄单透镜、密接薄透镜组和分离薄透镜组等不同情况。推导过程中假设物面位置不随温度发生变化,并且忽略分离薄透镜组中各组分上光线入射高度随温度的变化。利用推导的条件建立了像距的归一化温度变化率与各透镜光热膨胀系数之间的关系,指出所得到的条件具有更加普遍的意义,能够指导机械和伺服控制系统的工程设计,并且在物面位于无穷远时与目前普遍采用的热补偿条件相吻合,即光学系统的光热膨胀系数等于壳体的热膨胀系数。

     

    Abstract: Based on the paraxial imaging formula, the differential conditions of thermal compensation for optical systems with the object planes at random distance are derived in the cases of single lens, touched multilens system and separated multilens system. It is assumed that the object distance and the incident height of each lens do not change with temperature. The relationship between the normalized temperature variation of image distance and the optothermal expansion coefficient of each lens is established with the derived conditions, which is very useful in the design of mechanical and servo systems for an athermalized optical system. The conditions obtained for single lens and touched multilens system are coincided with the regular conditions of thermal compensation when the object plane is at infinity, i.e., the optothermal expansion coefficient of the optical system is equal to the housing expansion coefficient.

     

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