Method for calibrating system parameters of a multidirectional interferometers system.

Appl Opt

Department of Mechanical Systems Engineering, Graduate School of Engineering, Osaka Prefecture University, 1-1, Gakuen-cho, Sakai, Osaka 599-8531, Japan.

Published: February 2006

AI Article Synopsis

  • A multidirectional interferometer system has been designed to accurately measure the position and orientation of a positioning stage.
  • The challenge lies in determining system parameters like the placement of corner-cube reflectors and ray directions, which vary for different systems and require high precision.
  • The paper introduces a systematic calibration method for these parameters, validated through simulations and experiments on a two-dimensional stage, particularly when there are more interferometers than the stage's degrees of freedom.

Article Abstract

A multidirectional interferometer system has been proposed and developed to measure the position and orientation of a positioning stage. In this method the system parameters, such as positions of the corner-cube reflectors and directions of the rays in the interferometers, must be determined beforehand. However, it is difficult to find ways to determine the system parameters for each different system with necessary accuracy. This paper proposes a systematic method for calibrating the system parameters when the number of the interferometers is larger than the degrees of freedom of the stage. The method is verified for a two-dimensional stage by both simulation and experiment.

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Source
http://dx.doi.org/10.1364/ao.45.000605DOI Listing

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