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

Shen Yan; Xie Yi; Lou Shuqin

doi:10.3788/irla201645.0722001

[1] Knight J C, Birks T A, Russell P S J, et al. All-silica single-mode optical fiber with photonic crystal cladding[J]. Opt Lett, 1996, 21: 1547-1549.

[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.

[3] Shahabuddin N S, Ahmad H, Yusoff Z, et al. Spacing-switchable multiwavelength fiber laser based on nonlinear polarization rotation and brillouin scattering in photonic crystal fiber[J]. IEEE Photonics Journal, 2012, 4: 34-38.

[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)

[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.

[8] Zhang X Q, Chan T F. Wavelet impainting by nonlocal total variation[J]. Inverse Problems and Imaging, 2010, 4(1): 1-20.

[9] Zeng Tieyong, Li Xiaolong, Michael Ng. Alternating minimization method for total variation based wavelet shrinkage model[J]. Commun Comput Phys, 2010, 8(5): 976-994.

[10] Cai J F, Dong B, Osher S, et al. Image restoration: total variation, wavelet frames, and beyond[J]. J Amer Math Soc, 2012, 25: 1033-1089.

[11] Kamilov U, Bostan E, Unser M. Wavelet shrinkage with consistent cycle spinning generalizes total variation denoising[J]. IEEE Signal Processing Letters, 2012, 19(4): 187-190.

[12] Chan T F, Shen J H, Zhou H M. Total variation wavelet inpainting[J]. J Math Imaging Vis, 2006, 25: 107-125.

[13] Bertsekas D P. Constrained Optimization and Lagrange Multiplier Methods[M]. New York: Academic Press, 1982.

[14] Crystal Fiber A/S. http: //www.crystal-fibre.com/datasheets/LMA-PM-5.pdf, 2008.

[15] Crystal Fiber A/S. http: //www.crystal-fibre.com/datasheets/PM-1550-01.pdf, 2008.

[16] Poli F, Cucinotta A, Selleri S. Photonic Crystal Fiber - Properties and Application[M]. Netherland: Springer, 2007: 219-223.