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Design of high-index broken-ring-based all-solid photonic bandgap fibers

Wang Ai-Min Li Yan-Feng Hu Xiao-Kun

Design of high-index broken-ring-based all-solid photonic bandgap fibers

Wang Ai-Min, Li Yan-Feng, Hu Xiao-Kun
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  • The design of all-solid photonic bandgap fibers based on a high-index broken ring is investigated, where the background material is silica and the broken ring consists of several individual high-index rods. Density of states maps and Bloch mode field distributions obtained by plane wave expansion method show that a high-order bandgap in such fibers can be engineered and broadened. The principle is that both the azimuthal and the radial orders of the LP modes of the high-index rods in the cladding can be controlled by the broken ring. It is demonstrated that the highest azimuthal order of the group of less affected LP modes is determined by the rod number and the bandgap width is largely affected by the rod size. The high-order bandgap can be used to design all-solid photonic bandgap fiber with broad transmission ranges of 488 nm and 944 nm for a center wavelength of 800 nm and 1550 nm, respectively, and the transmission window features the typical normal-zero-anomalous dispersion profile.
    • Funds:
    [1]

    Joannopoulos J D, Johnson S G, Meade R D, Winn J N 2008 Photonic Crystals: Molding the Flow of Light (2nd Ed.) (Princeton: Princeton University Press)

    [2]

    Knight J C 2003 Nature 424 847

    [3]

    Russell P St J 2006 J. Lightwave Technol. 24 4729

    [4]

    Wan J H, Hou L T, Zhou G Y, Wei D B, Wang H Y, Dong S R, Wang Q Y, Liu B W, Hu M L 2008 Acta Phys. Sin. 57 4230 (in Chinese) [苑金辉、侯蓝田、周桂耀、魏东宾、王海云、董世蕊、王清月、刘博文、胡明列 2008 物理学报 57 4230]

    [5]

    Zhang H, Wang Q G, Yang B J, Yu L 2008 Acta Phys. Sin. 57 5722 (in Chinese) [张 虎、王秋国、杨伯君、于 丽 2008 物理学报 57 5722]

    [6]

    Lu J, Meng Z, Liu H, Feng T, Dai Q, Wu L, Guo Q, Hu W, Lan S 2009 Chin. Phys. B 18 4333

    [7]

    Knight J C, Luan F, Pearce G J, Wang A, Birks T A, Bird D M 2006 Jpn. J. Appl. Phys. 45 6059

    [8]

    Luan F, George A K, Hedley T D, Pearce G J, Bird D M, Knight J C, Russell P St J 2004 Opt. Lett. 29 2369

    [9]

    Bouwmans G, Bigot L, Quiquempois Y, Lopez F, Provino L, Douay M 2005 Opt. Express 13 8452

    [10]

    Argyros A, Birks T A, Leon-Saval S G, Cordeiro C M B, Russell P St J 2005 Opt. Express 13 2503

    [11]

    White T P, McPhedran R C, Martijn de Sterke C, Litchinitser N M, Eggleton B J 2002 Opt. Lett. 27 1977

    [12]

    Litchinitser N M, Dunn S C, Usner B, Eggleton B J, White T P, McPhedran R C, Martijn de Sterke C 2003 Opt. Express 11 1243

    [13]

    Lgsgaard J 2004 J. Opt. A: Pure Appl. Opt. 6 798

    [14]

    Snyder A W, Love J D 1983 Optical Waveguide Theory (London: Chapman and Hall) pp 280—300

    [15]

    Birks T A, Luan F, Pearce G J, Wang A, Knight J C, Bird D M 2006 Opt. Express 14 5688

    [16]

    Wang A, George A K, Knight J C 2006 Opt. Lett. 31 1388

    [17]

    Liu B, Hu M, Fang X, Li Y, Chai L, Li J, Chen W, Wang C 2008 IEEE Photon. Technol. Lett. 20 581

    [18]

    Isomki A, Okhotnikov O G 2006 Opt. Express 14 9238

    [19]

    Kibler B, Martynkien T, Szpulak M, Finot C, Fatome J, Wojcik J, Urbanczyk W, Wabnitz S 2009 Opt. Express 17 10393

    [20]

    Bétourné A, Kudlinski A, Bouwmans G, Vanvincq O, Mussot A, Quiquempois Y 2009 Opt. Lett. 34 3083

    [21]

    Jin L, Wang Z, Fang Q, Liu B, Liu Y, Kai G, Dong X, Guan B 2007 Opt. Lett. 32 2717

    [22]

    Shirakawa A, Maruyama H, Ueda K, Olausson C B, Lyngs J K, Broeng J 2009 Opt. Express 17 447

    [23]

    Bétourné A, Bouwmans G, Quiquempois Y, Perrin M, Douay M 2007 Opt. Lett. 32 1719

    [24]

    Perrin M, Quiquempois Y, Bouwmans G, Douay M 2007 Opt. Express 15 13783

    [25]

    Ren G, Shum P, Zhang L, Yu X, Tong W, Luo J 2007 Opt. Lett. 32 1023

    [26]

    Stone J M, Pearce G J, Luan F, Birks T A, Knight J C, George A K, Bird D M 2006 Opt. Express 14 6291

    [27]

    Feng H, Lou S, Guo T, Yao L, Li H, Jian S 2008 Chin. Phys. B 17 232

    [28]

    Li Y F, Wang Q Y, Hu M L, Li S G, Liu X D, Hou L T 2004 Acta Phys. Sin. 53 1396 (in Chinese) [栗岩锋、王清月、胡明列、李曙光、刘晓东、侯蓝田 2004 物理学报 53 1396]

    [29]

    Pearce G J, Hedley T D, Bird D M 2005 Phys. Rev. B 71 195108

    [30]

    Johnson S G, Joannopoulos J D 2001 Opt. Express 8 173

    [31]

    Okamoto K 2006 Fundamentals of Optical Waveguides (2nd Ed.) (San Diego: Academic Press) pp92—93

  • [1]

    Joannopoulos J D, Johnson S G, Meade R D, Winn J N 2008 Photonic Crystals: Molding the Flow of Light (2nd Ed.) (Princeton: Princeton University Press)

    [2]

    Knight J C 2003 Nature 424 847

    [3]

    Russell P St J 2006 J. Lightwave Technol. 24 4729

    [4]

    Wan J H, Hou L T, Zhou G Y, Wei D B, Wang H Y, Dong S R, Wang Q Y, Liu B W, Hu M L 2008 Acta Phys. Sin. 57 4230 (in Chinese) [苑金辉、侯蓝田、周桂耀、魏东宾、王海云、董世蕊、王清月、刘博文、胡明列 2008 物理学报 57 4230]

    [5]

    Zhang H, Wang Q G, Yang B J, Yu L 2008 Acta Phys. Sin. 57 5722 (in Chinese) [张 虎、王秋国、杨伯君、于 丽 2008 物理学报 57 5722]

    [6]

    Lu J, Meng Z, Liu H, Feng T, Dai Q, Wu L, Guo Q, Hu W, Lan S 2009 Chin. Phys. B 18 4333

    [7]

    Knight J C, Luan F, Pearce G J, Wang A, Birks T A, Bird D M 2006 Jpn. J. Appl. Phys. 45 6059

    [8]

    Luan F, George A K, Hedley T D, Pearce G J, Bird D M, Knight J C, Russell P St J 2004 Opt. Lett. 29 2369

    [9]

    Bouwmans G, Bigot L, Quiquempois Y, Lopez F, Provino L, Douay M 2005 Opt. Express 13 8452

    [10]

    Argyros A, Birks T A, Leon-Saval S G, Cordeiro C M B, Russell P St J 2005 Opt. Express 13 2503

    [11]

    White T P, McPhedran R C, Martijn de Sterke C, Litchinitser N M, Eggleton B J 2002 Opt. Lett. 27 1977

    [12]

    Litchinitser N M, Dunn S C, Usner B, Eggleton B J, White T P, McPhedran R C, Martijn de Sterke C 2003 Opt. Express 11 1243

    [13]

    Lgsgaard J 2004 J. Opt. A: Pure Appl. Opt. 6 798

    [14]

    Snyder A W, Love J D 1983 Optical Waveguide Theory (London: Chapman and Hall) pp 280—300

    [15]

    Birks T A, Luan F, Pearce G J, Wang A, Knight J C, Bird D M 2006 Opt. Express 14 5688

    [16]

    Wang A, George A K, Knight J C 2006 Opt. Lett. 31 1388

    [17]

    Liu B, Hu M, Fang X, Li Y, Chai L, Li J, Chen W, Wang C 2008 IEEE Photon. Technol. Lett. 20 581

    [18]

    Isomki A, Okhotnikov O G 2006 Opt. Express 14 9238

    [19]

    Kibler B, Martynkien T, Szpulak M, Finot C, Fatome J, Wojcik J, Urbanczyk W, Wabnitz S 2009 Opt. Express 17 10393

    [20]

    Bétourné A, Kudlinski A, Bouwmans G, Vanvincq O, Mussot A, Quiquempois Y 2009 Opt. Lett. 34 3083

    [21]

    Jin L, Wang Z, Fang Q, Liu B, Liu Y, Kai G, Dong X, Guan B 2007 Opt. Lett. 32 2717

    [22]

    Shirakawa A, Maruyama H, Ueda K, Olausson C B, Lyngs J K, Broeng J 2009 Opt. Express 17 447

    [23]

    Bétourné A, Bouwmans G, Quiquempois Y, Perrin M, Douay M 2007 Opt. Lett. 32 1719

    [24]

    Perrin M, Quiquempois Y, Bouwmans G, Douay M 2007 Opt. Express 15 13783

    [25]

    Ren G, Shum P, Zhang L, Yu X, Tong W, Luo J 2007 Opt. Lett. 32 1023

    [26]

    Stone J M, Pearce G J, Luan F, Birks T A, Knight J C, George A K, Bird D M 2006 Opt. Express 14 6291

    [27]

    Feng H, Lou S, Guo T, Yao L, Li H, Jian S 2008 Chin. Phys. B 17 232

    [28]

    Li Y F, Wang Q Y, Hu M L, Li S G, Liu X D, Hou L T 2004 Acta Phys. Sin. 53 1396 (in Chinese) [栗岩锋、王清月、胡明列、李曙光、刘晓东、侯蓝田 2004 物理学报 53 1396]

    [29]

    Pearce G J, Hedley T D, Bird D M 2005 Phys. Rev. B 71 195108

    [30]

    Johnson S G, Joannopoulos J D 2001 Opt. Express 8 173

    [31]

    Okamoto K 2006 Fundamentals of Optical Waveguides (2nd Ed.) (San Diego: Academic Press) pp92—93

  • Citation:
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Publishing process
  • Received Date:  05 July 2010
  • Accepted Date:  29 July 2010
  • Published Online:  15 June 2011

Design of high-index broken-ring-based all-solid photonic bandgap fibers

  • 1. (1)Institute of Quantum Electronics, School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China; (2)Ultrafast Laser Laboratory, College of Precision Instrument and Optoelectronics Engineering, Key Laboratory of Opto-electronic Information Science and Technology of Ministry of Education Tianjin University, Tianjin 300072, China

Abstract: The design of all-solid photonic bandgap fibers based on a high-index broken ring is investigated, where the background material is silica and the broken ring consists of several individual high-index rods. Density of states maps and Bloch mode field distributions obtained by plane wave expansion method show that a high-order bandgap in such fibers can be engineered and broadened. The principle is that both the azimuthal and the radial orders of the LP modes of the high-index rods in the cladding can be controlled by the broken ring. It is demonstrated that the highest azimuthal order of the group of less affected LP modes is determined by the rod number and the bandgap width is largely affected by the rod size. The high-order bandgap can be used to design all-solid photonic bandgap fiber with broad transmission ranges of 488 nm and 944 nm for a center wavelength of 800 nm and 1550 nm, respectively, and the transmission window features the typical normal-zero-anomalous dispersion profile.

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