Fourier scatterometry for compensation of tilt and curvature deviations of two-photon polymerization three-dimensional printers

Elias Ellingen, Markus Rohde, Bastian Stahl, Robert Lange
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Abstract

A Fourier scatterometry setup is evaluated to recover the key parameters of optical phase gratings. Based on these parameters, systematic errors in the printing process of two-photon polymerization (TPP) gray-scale lithography three-dimensional printers can be compensated, namely tilt and curvature deviations. The proposed setup is significantly cheaper than a confocal microscope, which is usually used to determine calibration parameters for compensation of the TPP printing process. The grating parameters recovered this way are compared to those obtained with a confocal microscope. A clear correlation between confocal and scatterometric measurements is first shown for structures containing either tilt or curvature. The correlation is also shown for structures containing a mixture of tilt and curvature errors (squared Pearson coefficient r2 = 0.92). This compensation method is demonstrated on a TPP printer: a diffractive optical element printed with correction parameters obtained from Fourier scatterometry shows a significant reduction in noise as compared to the uncompensated system. This verifies the successful reduction of tilt and curvature errors. Further improvements of the method are proposed, which may enable the measurements to become more precise than confocal measurements in the future, since scatterometry is not affected by the diffraction limit.
傅里叶散射法补偿双光子聚合三维打印机的倾斜和曲率偏差
评估了一种傅里叶散射测量装置,以恢复光学相位光栅的关键参数。基于这些参数,可以补偿双光子聚合(TPP)灰度光刻三维打印机打印过程中的系统误差,即倾斜和曲率偏差。该装置比共聚焦显微镜便宜得多,共聚焦显微镜通常用于确定TPP打印过程补偿的校准参数。用这种方法恢复的光栅参数与用共聚焦显微镜获得的光栅参数进行了比较。对于包含倾斜或曲率的结构,首先显示了共聚焦和散射测量之间的明确相关性。对于包含倾斜和曲率误差的混合结构,也显示出相关性(平方Pearson系数r2 = 0.92)。这种补偿方法在TPP打印机上进行了演示:与未补偿的系统相比,用傅立叶散射测量法获得的校正参数打印的衍射光学元件显示出显著的噪声降低。这证实了倾斜和曲率误差的成功减小。由于散射测量法不受衍射极限的影响,因此提出了进一步的改进方法,这可能使测量在未来变得比共聚焦测量更精确。
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