Analysis and compensation of synchronous measurement error for multi-channel laser interferometer

Dual-frequency laser interferometer has been widely used in precision motion system as a displacement sensor, to achieve nanoscale positioning or synchronization accuracy. In a multi-channel laser interferometer synchronous measurement system, signal delays are different in the different channels, which will cause asynchronous measurement, and then lead to measurement error, synchronous measurement error (SME). Based on signal delay analysis of the measurement system, this paper presents a multi-channel SME framework for synchronous measurement, and establishes the model between SME and motion velocity. Further, a real-time compensation method for SME is proposed. This method has been verified in a self-developed laser interferometer signal processing board (SPB). The experiment result showed that, using this compensation method, at a motion velocity 0.89 m s−1, the max SME between two measuring channels in the SPB is 1.1 nm. This method is more easily implemented and applied to engineering than the method of directly testing smaller signal delay.

[1]  Junjie Guo,et al.  A new measuring method for circular motion accuracy of NC machine tools based on dual-frequency laser interferometer , 2011, 2011 IEEE International Symposium on Assembly and Manufacturing (ISAM).

[2]  F. Demarest,et al.  High-resolution, high-speed, low data age uncertainty, heterodyne displacement measuring interferometer electronics , 1998 .

[3]  N. Bobroff Recent advances in displacement measuring interferometry , 1993 .

[4]  H. Butler,et al.  Position control in lithographic equipment , 2013 .

[5]  H Han Haitjema,et al.  Modeling and verifying non-linearities in heterodyne displacement interferometry , 2002 .

[6]  Yibing Liu,et al.  A five degree-of-freedom laser measurement model on wafer stage of scanning lithography , 2010, Proceedings of the 29th Chinese Control Conference.

[7]  Byong Chon Park,et al.  A simple phase-encoding electronics for reducing the nonlinearity error of a heterodyne interferometer , 2008 .

[8]  Liping Yan,et al.  Analysis and verification of the nonlinear error resulting from the misalignment of a polarizing beam splitter in a heterodyne interferometer , 2015 .

[9]  Xiaodong Zhang,et al.  Reverse analysis on the geometric errors of ultra-precision machine , 2014 .

[10]  K. Fan,et al.  A 6-degree-of-freedom measurement system for the accuracy of X-Y stages , 2000 .

[11]  Jinchun Hu,et al.  A new 6-degree-of-freedom measurement method of X-Y stages based on additional information , 2013 .

[12]  Hans Butler,et al.  Position Control in Lithographic Equipment [Applications of Control] , 2011, IEEE Control Systems.

[13]  Bryan Kok Ann Ngoi,et al.  Self-Compensated Heterodyne Laser Interferometer , 2000 .

[14]  H Han Haitjema,et al.  Improving a commercially available heterodyne laser interferometer to sub-nm uncertainty , 2003, SPIE Optics + Photonics.