Precision glass molding is the most appropriate method for batch production of glass lenses with high surface accuracy and qualified optical performance. However, the form error caused by material expansion and contraction is the main factor affecting the precision of the molded lenses, thus the mold must be pre-compensated. In this paper, an effective method of mold pre-compensation based on mathematical analysis is established. Based on the thermal expansion curve of D-ZK3 glass, the freezing fictive temperature of the glass under the actual cooling rate is measured, and the mold pre-compensation factor can be quickly calculated. Experimental results show that the peak valley (PV) value of the surface form error of molded aspheric lens with an aperture of 5.3 mm is effectively reduced from 2.04 μm to 0.31 μm after the pre-compensation, thus meeting the geometric evaluation criterion.

中文翻译：

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基于数学分析的精密玻璃成型模具预补偿

精密玻璃成型是批量生产具有高表面精度和合格光学性能的玻璃镜片的最合适方法。然而，由材料膨胀和收缩引起的形状误差是影响模制镜片的精度的主要因素，因此必须对模具进行预补偿。本文建立了一种基于数学分析的有效的模具预补偿方法。根据D-ZK3玻璃的热膨胀曲线，可以测量玻璃在实际冷却速率下的凝固假想温度，并可以快速计算出模具的预补偿因子。实验结果表明，预补偿后，孔径为5.3 mm的模制非球面透镜的表面形状误差的峰谷（PV）值从2.04μm有效降低至0.31μm，