Volume 43 Issue 9
Oct.  2014
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Zeng Wenwen, Zhong Xiaopin, Li Jingzhen. Retrieving phase from single interferogram by interval inversion method[J]. Infrared and Laser Engineering, 2014, 43(9): 3151-3156.
Citation: Zeng Wenwen, Zhong Xiaopin, Li Jingzhen. Retrieving phase from single interferogram by interval inversion method[J]. Infrared and Laser Engineering, 2014, 43(9): 3151-3156.

Retrieving phase from single interferogram by interval inversion method

  • Received Date: 2014-01-08
  • Rev Recd Date: 2014-02-12
  • Publish Date: 2014-09-25
  • An interval inversion method was proposed to retrieve phase information directly from single interferogram. Due to the sign ambiguity of inverse cosine, an inversion was needed in the phase interval of (,2). This interval estimation was translated to a problem of fold-line fitting that can be solved by a genetic algorithm. Further, the least square was employed to find an optimal linear carrier frequency for the final phase distribution. The method was applied to one-dimensional and two-dimensional numerical examples. Simulation results, compared with the methods of traditional Fourier transform and fringe analysis, demonstrate the effectiveness and the ease of use.
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Retrieving phase from single interferogram by interval inversion method

  • 1. College of Electronic Science & Technology,Shenzhen University,Shenzhen 518060,China;
  • 2. Shenzhen Key Laboratory of Micro-Nano Photonic Information Technology,Shenzhen University,Shenzhen 518060,China;
  • 3. College of Optoelectronic Engineering,Shenzhen University,Shenzhen 518060,China;
  • 4. College of Mechatronics & Control Engineering,Shenzhen University,Shenzhen 518060,China

Abstract: An interval inversion method was proposed to retrieve phase information directly from single interferogram. Due to the sign ambiguity of inverse cosine, an inversion was needed in the phase interval of (,2). This interval estimation was translated to a problem of fold-line fitting that can be solved by a genetic algorithm. Further, the least square was employed to find an optimal linear carrier frequency for the final phase distribution. The method was applied to one-dimensional and two-dimensional numerical examples. Simulation results, compared with the methods of traditional Fourier transform and fringe analysis, demonstrate the effectiveness and the ease of use.

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