Finite element analysis of square-lattice photonic crystal fiber

Abstract

Abstract:

A square-lattice photonic crystal fiber with gradually increasing air-holes in a silica matrix is analyzed numerically based on a full-vector finite element method with quadratic order triangular elements, and an anisotropic perfectly matched layer is also employed as a boundary condition at computational window edges. The modal distribution, confinement loss and birefringence of the fundamental mode in the fiber are simulated in details. It is confirmed from numerical results that low confinement loss of 1.31×10E-6 dB/m can be realized under condition of four arrays of air holes in the photonic crystal fiber, and high birefringence can be obtained through adjusting the diameter of inner-ring air holes in the fiber, which is more obvious in the longer wavelength range. The numerical results of this paper are highly instructive for the fabrication of birefringent photonic crystal fibers.

Key words: guided-wave and fiber optics, photonic crystal fiber, finite element method, birefringence, confinement loss

GUAN Jian-fei. Finite element analysis of square-lattice photonic crystal fiber[J]. J4, 2010, 27(4): 430-434.

References

[1]. Kaminow I P, Ramaswamy V. Single-polarization optical fibers: slab model. Appl. Phys. Lett., 1979,34(4): 268~271
[2]. Noda J, Okamoto K, Sasaki Y. Polarizatiorr maintaining fibers and their application. J. Lightwave Technol. 1986,4(8):1071~1089.
[3]. Birks T A, Knight J C, Russell P S J. Endlessly single-mode photonic crystal fiber. Opt. Lett., 1997,22(13): 961~963
[4]. Ferrando A, Silvestre E. Nearly zero ultraflattened dispersion in photonic crystal fibers. Opt. Lett., 2000,25(12):790~792
[5]. Song Junfeng, Wang Haisong, Chang Yuchun, Wang Lijun, Xu Wu and Du Guotong. Analysis of fundamental mode in photonic crystal fiber [J]. ACTA OPTICA SINICA,(光学学报), 2002, 32(9): 1032-1034.
[6]. Fang Hong, Lou Shuqin, Guo Tieying and Jian Shuisheng. Novel high birefringence photonic crystal fiber [J]. ACTA OPTICA SINICA,(光学学报), 2007,27(2): 202-206
[7]. Zhang Fangdi, Liu Xiaoyi, Zhang Min and Ye Peida. Numerical simulation of a novel rectangular-lattice single-polarization single-mode photonic crystal fiber [J]. ACTA PHYSICA SINICA,(物理学报), 2006, 55(12): 6447-6452.
[8]. Lou Shuqin, Wang Zhi, Ren Guobin and Jian Shuisheng, Highly birefringent index guiding photonic crystal fibers [J]. ACTA OPTICA SINICA,(光学学报), 2004, 24(10): 1310-1315.
[9]. A. Ortigosa-Blanch, J. C. Knight, W. J. Wadsworth, J. Arriaga et al. Highly birefringent photonic crystal fibers, Optics Letters, 2000, 25(18): 1325-1327
[10]. Lou Shuqin, Ren Guobin, Wang zhi and Jian Shuisheng. Polarization properties of high birefringence photonic crystal fiber.[J]. Chinese Journal of Lasers,(中国激光), 2004,31(12): 1503-1506 [11]. Chi Hao, Analysis of propagation characteristics of birefringent photonic crystal fibers [J]. ACTA OPTICA SINICA,(光学学报), 2004, 24(11): 1552-1556
[12]. Zhang Yani. Polarization properties of elliptical core oblate hexangular structure polymer photonic crystal fiber.[J]. Chinese Journal of Quantum Electronics.(量子电子学报), 2007, 24(3): 397-400.
[13]. Li Shuguang, Xing Guanglong, Zhou Guiyao and Hou Lantian. Numerical simulation of square-lattice photonic crystal fiber with high birefringence and low confinement loss.[J]. ACTA PHYSICA SINICA,(物理学报), 2006,55(1): 238-243
[14]. Gong Taorong, Yan Fengping, Wang Lin, Li Yifang, Liu Peng and Jian Shuisheng. Analysis of properties of high birefringence photonic crystal fibers [J]. Chinese Journal of Lasers,(中国激光), 2008, 35(4): 559-562
[15]. Masanori Koshiba, Yasuhide Tsuji and Satoru Sasaki. High-Performance absorbing boundary conditions for photonic crystal waveguide simulation [J]. IEEE Microwave and wireless components letters, 2001,11(4): 152~154.