Simulation of surface deformation for the lithographic object lens by Zernike polynomials

Bin Cong, Tongxun Yi
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Abstract

Surface deformation is the crucial factor for the imaging performance of the lithographic object lens in the manufacturing process. Simulation of surface deformation can predict the degradation of the wavefront error caused by surface deformation, find the lens which is most sensitive to the surface deformation even in the design phase. We develop a method to simulate the surface deformation by Zernike polynomials in this paper. In fact, the surface deformation generated in the manufacturing process is random. However, it does not mean that they have no rules at all. We analysize the Zernike coefficients distribution of the interferential data, and build a model to simulate the surface deformation. The model can generate random-surface-deformation according to the input RMS/PV bound in the form of INT file type, which can be added to the lens surface directly in the optical design program CODEV. The results show that the surface deformation generated by our model can simulate the interferential data very well.
用Zernike多项式模拟光刻物镜的表面变形
在光刻物镜的制造过程中,表面变形是影响其成像性能的关键因素。对表面变形的模拟可以预测由于表面变形引起的波前误差的退化,找到对表面变形最敏感的透镜,即使在设计阶段。本文提出了一种用泽尼克多项式模拟表面变形的方法。实际上,在制造过程中产生的表面变形是随机的。然而,这并不意味着他们没有任何规则。分析了干涉数据的泽尼克系数分布,建立了模拟地表变形的模型。该模型可以根据输入的RMS/PV绑定以INT文件类型的形式产生随机表面变形,可以直接在光学设计程序CODEV中添加到透镜表面。结果表明,该模型产生的地表变形能很好地模拟干涉数据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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