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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: 2480–2487

Determination of the linear equations of position-sensing detectors for small motion measurement systems

Chien-Sheng Liu and Psang Dain Lin  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. 2480-2487 (2010)
http://dx.doi.org/10.1364/JOSAA.27.002480


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Abstract

Small motion measurement systems are widely used in industry measurement fields to measure small positional/angular motions. These systems usually consist of two parts: a measuring assembly and a reference assembly. The position-sensing detectors (PSDs) are embedded in either measuring assembly or reference assembly to sense the variations of laser light incidence points when there are any small positional/angular motions. To use these systems, it is necessary to determine the linear equations of PSD readings, which relate the six-degrees-of-freedom small positional/angular motions and PSD readings. The purpose of this paper is to derive these equations based on the paraxial raytracing method. Two measurement systems are used as illustrative examples to validate the proposed methodology. The methodology of this study will be useful for system design of PSD-based measurement systems and their applications.

© 2010 Optical Society of America

OCIS Codes
(040.0040) Detectors : Detectors
(080.2720) Geometric optics : Mathematical methods (general)
(080.2730) Geometric optics : Matrix methods in paraxial optics
(120.1880) Instrumentation, measurement, and metrology : Detection
(080.1753) Geometric optics : Computation methods

ToC Category:
Detectors

History
Original Manuscript: June 10, 2010
Revised Manuscript: September 22, 2010
Manuscript Accepted: September 23, 2010
Published: October 22, 2010

Citation
Chien-Sheng Liu and Psang Dain Lin, "Determination of the linear equations of position-sensing detectors for small motion measurement systems," J. Opt. Soc. Am. A 27, 2480-2487 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-2480


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References

  1. E. H. Bokelberg, H. J. Sommer III, and M. W. Tretheway, “A six-degree-of-freedom laser vibrometer, part I: Theoretical development,” J. Sound Vib. 178, 643–654 (1994). [CrossRef]
  2. E. H. Bokelberg, H. J. Sommer III, and M. W. Trethewey, “A six-degree-of-freedom laser vibrometer, part II: Experimental validation,” J. Sound Vib. 178, 655–667 (1994). [CrossRef]
  3. H. M. Varma, A. K. Nandakumaran, and R. M. Vasu, “Study of turbid media with light: Recovery of mechanical and optical properties from boundary measurement of intensity autocorrelation of light,” J. Opt. Soc. Am. A 26, 1472–1483 (2009). [CrossRef]
  4. M. T. Tavassoly, M. Amiri, A. Darudi, R. Aalipour, A. Saber, and A. R. Moradi, “Optical diffractometry,” J. Opt. Soc. Am. A 26, 540–547 (2009). [CrossRef]
  5. D. Patrick, “Sandia lab’s laser tracking system: a single station solution for position and attitude data,” IEEE J. Rob. Autom. RA-3, 323–344 (1987).
  6. P. D. Lin and C. H. Lu, “Modeling and sensitivity analysis of laser tracking systems by skew-ray tracing method,” J. Manuf. Sci. Eng. 127, 654–662 (2005). [CrossRef]
  7. R. B. Holmes, “Scintillation-induced jitter of projected light with centroid trackers,” J. Opt. Soc. Am. A 26, 313–316 (2009). [CrossRef]
  8. J. Ni and S. M. Wu, “An on-line measurement technique for machine volumetric error compensation,” J. Eng. Ind. 115, 85–92 (1993).
  9. K. H. Kim, K. F. Eman, and S. M. Wu, “Analysis alignment errors in a laser-based in-process cylindricity measurement system,” J. Eng. Ind. 109, 321–329 (1987). [CrossRef]
  10. C. W. Park, K. F. Eman, and S. M. Wu, “An in-process flatness error measurement and compensatory control system,” J. Eng. Ind. 110, 263–270 (1988). [CrossRef]
  11. P. D. Lin and K. F. Ehmann, “Sensing of motion related errors in multi-axis machines,” J. Dyn. Syst., Meas., Control 118, 425–433 (1996). [CrossRef]
  12. S. W. Lee, R. Mayor, and J. Ni, “Development of a six-degree-of-freedom geometric error measurement system for a meso-scale machine tool,” J. Manuf. Sci. Eng. 127, 857–865 (2005). [CrossRef]
  13. P. D. Lin, W. Y. Jywe, and C. J. Chen, “General method for determining the sensor readings of motion measurement systems by using skew-ray tracing method,” Optik (Stuttgart) 120, 257–264 (2009). [CrossRef]
  14. P. D. Lin and C. Y. Tsai, “First order gradients of skew rays of axis-symmetrical optical systems,” J. Opt. Soc. Am. A 24, 776–784 (2007). [CrossRef]
  15. P. D. Lin and C. K. Sung, “Matrix-based paraxial skew ray-tracing in 3D systems with non-coplanar optical axis,” Optik (Stuttgart) 117, 329–340 (2006). [CrossRef]
  16. P. D. Lin and C. K. Sung, “Camera calibration based on Snell's law,” J. Dyn. Syst., Meas., Control 128, 548–557 (2006). [CrossRef]
  17. P. D. Lin and C. K. Sung, “Comparing two new camera calibration methods with traditional pinhole calibrations,” Opt. Express 15, 3012–3022 (2007). [CrossRef] [PubMed]
  18. R. P. Paul, Robot Manipulators—Mathematics, Programming and Control (MIT, 1982).
  19. C. J. Chen, P. D. Lin, and W. Y. Jywe, “An optoelectronic measurement system for measuring 6-degree-of-freedom motion error of rotary parts,” Opt. Express 15, 14601–14617 (2007). [CrossRef] [PubMed]

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