温度变化会导致光学系统最佳焦面发生偏离，使得光学系统成像质量下降，为了使得光学系统成像质量保持稳定，对光学系统无热化设计进行研究。从温度变化导致像面位移的角度来研究，推导出像面位移公式，以像面位移公式来指导无热化补偿设计。以一个常温下达到衍射极限的光学系统为例，在-40 ℃~60 ℃ 的温度范围内，发现更改其中的4 个参数都可以使像面位移减小或者为零，从而使系统成像质量提高，达到无热化设计目的。像面位移公式能够指导光学系统的无热化设计。

The changes of temperature may lead to the divergence of best focal plane of its optical system, which will make the imaging quality of optical system decline. In order to maintain the optical system imaging quality stable, we study the athermalization of the optical system. A new way of athermalization what is divergence of the best focal plane is studied. The surface displacement formula is studied, then the surface displacement formula is used to guide the design of athermalization compensation. For example, we study the system that reaches diffraction limit in normal temperature. When the temperature ranges from -40 ℃ to 60 ℃ , it is found that modify the four parameters in the surface displacement formula will make the surface displacement decrease or go to zero. So the optical system imaging quality gets improvement and achieves athermalization. The conclusion is that the surface displacement formula can guide the design of athermalization.