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提出直接由MATLAB读入光纤端面图实现复杂结构光子晶体光纤(PCF)模型的快速建立,并综合平面波法(PWM)和频域有限差分(FDFD)法,模拟分析带隙型光子晶体光纤(PBG-PCF)的带隙和模场分布.利用PWM计算得到了在PBG-PCF中传输的光波频率及模式有效折射率范围;基于FDFD法在给定波长及模式有效折射率范围情况下,模拟得到了PBG-PCF中可能存在的模场分布及其他特性.以市售的PBG-PCF为例,验证了数值模拟的正确性,随后系统地分析了结构参数(晶格结构、"原子"占有率、背景材料折射率及"原子
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关键词:
- 光子晶体光纤(PCF) /
- 光子带隙(PBG) /
- 平面波法(PWM) /
- 频域有限差分法(FDFD)
We present a method for quickly setting up the complex structure model of photonic crystal fiber (PCF) through directly reading the cross-section of photonic crystal fiber (PCF) by MATLAB, and numerically analyzing the band-gap and the modal field distribution in band-gap PCF (PBG-PCF) by combining plane wave method (PWM) with finite difference frequency domain (FDFD) method. Firstly, the frequency and modal effective index in PBG-PCF can be calculated by using PWM. Then, the modal field distribution and others properties of the PBG-PCF can be obtained in certain wavelength and index ranges by using the calculation results above and FDFD method. To validate its applicability, a type of commercial PBG-PCF was discussed and the influences of the structure parameters (crystal lattice structure, "atom" filling fraction, background material index and "atom" index) on the band-gap were systemically analyzed. This analytic method and calculation results may be useful for the design and preparation of the PCF with large band-gap.-
Keywords:
- photonic crystal fiber (PCF) /
- photonic band-gap (PBG) /
- plane wave method (PWM) /
- finite difference frequency domain (FDFD)
[1] Birks T A, Knight J C, Russell P St J 1998 Opt. Lett. 23 961
[2] Choi H G, Kee C S, Sung J H, Yu T J, Ko D K, Lee J M, Park H Y, Kim J E 2008 Phys. Rev. A 77 035804
[3] Zhang H, Yu S, Zhang J, Gu W Y 2007 Opt. Express 15 1147
[4] Ortigasta-Blanch A, Knight J C, Wadsworth W J 2000 Opt. Lett. 25 1325
[5] Zhang X J, Zhao J L, Hou J P 2007 Acta Phys. Sin 56 4668(in Chinese)[张晓娟、赵建林、侯建平 2007 56 4668]
[6] Yang Q Q, Hou L T 2009 Acta Phys. Sin 58 8345(in Chinese) [杨倩倩、侯蓝田 2009 58 8345]
[7] Matsui T, Nakajima K, Sankawa I 2007 J. Lightw. Technol.25 757
[8] Yoshino K, Shimoda Y, Kawagishi Y, Nakayama K, Ozaki M 1999 Appl. Phys. Lett. 75 932
[9] Zhuang F, Wu L, He S L 2002 Chin. Phys. Letts. 11 834
[10] Liu J F, Zhang W G, Kai G Y, Wang Z, Zhang C S, Yuan S Z, Dong X Y 2007 Acta Photo. Sin. 36 1837(in Chinese)[刘剑飞、张伟刚、开桂云、王 志、张春书、袁树忠、董孝义 2007 光子学报 36 1837]
[11] Pottage J M, Bird D M, Hedley T D, Birks T A, Knight J C, Russell P St J 2003 Opt. Express 11 2854
[12] Saitoh K, Koshiba M 2003 Opt. Express 11 3100
[13] Hu J, Menyuk C R 2007 Opt. Express 15 339
[14] Guo Sh P, Albin S 2003 Opt. Express 11 167
[15] Zhu Zh M, Brown Th G 2002 Opt. Express 10 853
[16] Couny F, Sabert H, Roberts P J, Tomlinson D A, Mangan B J, Farr L 2005 Opt. Express 13 558
[17] Knight J C, Broeng J, Birks T A, Russell P S J 1998 Science 282 1476
[18] Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574
[19] Guo S P, 2003 Ph. D. Dissertation (OLD DOMINION UNIVERSITY)
[20] Anderson C M, Giaps K P 1996 Phys. Rev. Lett. 77 2949
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[1] Birks T A, Knight J C, Russell P St J 1998 Opt. Lett. 23 961
[2] Choi H G, Kee C S, Sung J H, Yu T J, Ko D K, Lee J M, Park H Y, Kim J E 2008 Phys. Rev. A 77 035804
[3] Zhang H, Yu S, Zhang J, Gu W Y 2007 Opt. Express 15 1147
[4] Ortigasta-Blanch A, Knight J C, Wadsworth W J 2000 Opt. Lett. 25 1325
[5] Zhang X J, Zhao J L, Hou J P 2007 Acta Phys. Sin 56 4668(in Chinese)[张晓娟、赵建林、侯建平 2007 56 4668]
[6] Yang Q Q, Hou L T 2009 Acta Phys. Sin 58 8345(in Chinese) [杨倩倩、侯蓝田 2009 58 8345]
[7] Matsui T, Nakajima K, Sankawa I 2007 J. Lightw. Technol.25 757
[8] Yoshino K, Shimoda Y, Kawagishi Y, Nakayama K, Ozaki M 1999 Appl. Phys. Lett. 75 932
[9] Zhuang F, Wu L, He S L 2002 Chin. Phys. Letts. 11 834
[10] Liu J F, Zhang W G, Kai G Y, Wang Z, Zhang C S, Yuan S Z, Dong X Y 2007 Acta Photo. Sin. 36 1837(in Chinese)[刘剑飞、张伟刚、开桂云、王 志、张春书、袁树忠、董孝义 2007 光子学报 36 1837]
[11] Pottage J M, Bird D M, Hedley T D, Birks T A, Knight J C, Russell P St J 2003 Opt. Express 11 2854
[12] Saitoh K, Koshiba M 2003 Opt. Express 11 3100
[13] Hu J, Menyuk C R 2007 Opt. Express 15 339
[14] Guo Sh P, Albin S 2003 Opt. Express 11 167
[15] Zhu Zh M, Brown Th G 2002 Opt. Express 10 853
[16] Couny F, Sabert H, Roberts P J, Tomlinson D A, Mangan B J, Farr L 2005 Opt. Express 13 558
[17] Knight J C, Broeng J, Birks T A, Russell P S J 1998 Science 282 1476
[18] Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574
[19] Guo S P, 2003 Ph. D. Dissertation (OLD DOMINION UNIVERSITY)
[20] Anderson C M, Giaps K P 1996 Phys. Rev. Lett. 77 2949
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