Journal of the Optical Society of Korea

Optical Society of Korea (한국광학회)
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Dynamic Modulation Transfer Function Analysis of Images Blurred by Sinusoidal Vibration

  • Du, Yanlu (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science) ;
  • Ding, Yalin (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science) ;
  • Xu, Yongsen (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science) ;
  • Sun, Chongshang (Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science)
  • Received : 2016.08.25
  • Accepted : 2016.10.17
  • Published : 2016.12.25
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Abstract

The dynamic modulation transfer function (MTF) for image degradation caused by sinusoidal vibration is formulated based on a Bessel function of the first kind. The presented method makes it possible to obtain an analytical MTF expression derived for arbitrary frequency sinusoidal vibration. The error obtained by the use of finite order sum approximations instead of infinite sums is investigated in detail. Dynamic MTF exhibits a stronger random behavior for low frequency vibration than high frequency vibration. The calculated MTFs agree well with the measured MTFs with the slant edge method in imaging experiments. With the proposed formula, allowable amplitudes of any frequency vibration are easily calculated. This is practical for the analysis and design of the line-of-sight stabilization system in the remote sensing camera.

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References

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