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3DOF Displacement Sensor Based on Self-imaging Effect of Optical Micro-gratings

Applied Optics
  • hao yang, Mengdi Zhang, Lijun Guo, Zhiyong Yang, Mengwei Li, and Chenguang Xin
  • received 03/14/2024; accepted 04/21/2024; posted 04/22/2024; Doc. ID 523811
  • Abstract: In recent years, there is an increasing demand for multiple degrees of freedom (DOF) measurement system with high performance and high integration. Here, we report a 3DOF displacement sensor based on Self-imaging effect of optical micro-gratings. Optical field distribution behind a micro-grating with a period of 3μm is analyzed theoretically. Transmission properties of a double-grating structure are investigated in theory. In the experiment, 3DOF displacement measurement within a range of 1mm is demonstrated. Using an interpolation circuit with subdividing factor of 1000, displacement measurement with theoretical resolution of 3nm is realized. The experimental resolution is ~8nm. An error within 2μm is obtained experimentally within a range of 1mm for 3DOF measurement. With a few optical components such as beam splitter prism and beam expanders, the sensor shows potential in developing ultra-compact multi-DOF displacement measuring systems. Together with a nanometric resolution, the 3DOF displacement sensor has shown great potential in applications such as high-precision mechanical engineering and semiconductor processing.