Volume 45 Issue 7
Aug.  2016
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Shen Yan, Xie Yi, Lou Shuqin. Evaluation method of optical properties for photonic crystal fibers based on total variation and wavelet model[J]. Infrared and Laser Engineering, 2016, 45(7): 722001-0722001(6). doi: 10.3788/IRLA201645.0722001
Citation: Shen Yan, Xie Yi, Lou Shuqin. Evaluation method of optical properties for photonic crystal fibers based on total variation and wavelet model[J]. Infrared and Laser Engineering, 2016, 45(7): 722001-0722001(6). doi: 10.3788/IRLA201645.0722001

Evaluation method of optical properties for photonic crystal fibers based on total variation and wavelet model

doi: 10.3788/IRLA201645.0722001
  • Received Date: 2015-11-24
  • Rev Recd Date: 2015-12-27
  • Publish Date: 2016-07-25
  • Based on the combination model of total variation and wavelet transform, an improved method was proposed to rapidly evaluate the optical properties of actual Photonic Crystal Fibers(PCFs). Firstly, the total variation model in the wavelet domain was set up in this paper. Secondly, the split Bregman algorithm was used iteratively to denoise the cross-section images of PCFs, and thus the edge structures of air holes of PCFs image was kept. Thirdly, the optical properties of practical PCFs were evaluated rapidly by the adoption of the finite element method. By analyzing microscope images of cross sections of commercial and homemade PCFs, it is proved that the proposed method can achieve higher evaluation accuracy of optical properties of PCFs and the Gibbs and staircase effect can be eliminated efficiently in the extraction process of the edges of air holes in PCFs image.
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    [2] Yang T J, Chau Y F, Yeh H H, et al. Dispersion properties, birefringence and confinement loss of rotational elliptic air-hole photonic crystal fiber[J]. Appl Phy A, 2011, 104:857-861.
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    [4] Wang L W, Lou S Q, Chen W G, et al. A novel method for rapidly modeling optical properties of actual photonic crystal fibers[J]. Chinese Phys B, 2010, 19:084209.
    [5] Shen Yan, Wang Liwen, Lou Shuqin. Improved method for fast evaluating optical properties of actual photonic crystal fibers[J]. Infrared and Laser Engineering, 2012, 41(4):1041-1046. (in Chinese)申艳, 王立文, 娄淑琴. 改进的快速评估实际光子晶体光纤特性的方法[J]. 红外与激光工程, 2012, 41(4):1041-1046.
    [6] Shen Y, Lou S Q, Wang X. Novel estimation method of point spread function based on kalman filter for accurately evaluating real optical properties of photonic crystal fibers[J]. Applied Optics, 2014, 53(9):1838-1845.
    [7] Leonid I Rudin, Stanley Osher, Emad Fatemi. Nonlinear total variation based noise removal algorithms[J]. Physica D:Nonlinear Phenomena, 1992, 60(1-4):259-268.
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    [14] Poli F, Cucinotta A, Selleri S. Photonic Crystal Fiber-Properties and Application[M]. Netherland:Springer, 2007:219-223.
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Evaluation method of optical properties for photonic crystal fibers based on total variation and wavelet model

doi: 10.3788/IRLA201645.0722001
  • 1. School of Electronic and Information Engineering,Beijing Jiaotong University,Beijing 100044,Chinese

Abstract: Based on the combination model of total variation and wavelet transform, an improved method was proposed to rapidly evaluate the optical properties of actual Photonic Crystal Fibers(PCFs). Firstly, the total variation model in the wavelet domain was set up in this paper. Secondly, the split Bregman algorithm was used iteratively to denoise the cross-section images of PCFs, and thus the edge structures of air holes of PCFs image was kept. Thirdly, the optical properties of practical PCFs were evaluated rapidly by the adoption of the finite element method. By analyzing microscope images of cross sections of commercial and homemade PCFs, it is proved that the proposed method can achieve higher evaluation accuracy of optical properties of PCFs and the Gibbs and staircase effect can be eliminated efficiently in the extraction process of the edges of air holes in PCFs image.

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