Calculation and simulation of optical fiber core and cladding mode effective refractive index

Li Li-Jun; Lai Yong-Zheng; Cao Mao-Yong; Liu Chao; Yuan Xue-Mei; Zhang Xu; Guan Jin-Peng; Shi Jing; Li Jing

doi:10.7498/aps.62.140201

Abstract

The accurate computation of effective refractive index of optical fiber core and the cladding mode are needed for the fiber structure design, mode dispersion analysis and fiber grating mode coupling research. In this paper, based on three layered optical fiber waveguide model and its accurate eigenvalue equation, by using the cut string algorithm the effective refractive index of core mode is solved. At the same time the computation results are verified by using COMSOL software. By using interval traversal algorithm the effective refractive index of cladding mode is computed. Compared with the existing algorithms, this method can avoid the loss of root during the calculation. It can also avoid the generation of odd point and can keep the normality of each mode. The simulation is based on Mathematica software. The curves relating effective refractive index of core and cladding mode to wavelength are obtained.

Keywords:

Authors and contacts

1.
College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266590, China
Funds: Project supported by the China Postdoctoral Science Foundation (Grant Nos. 200902574, 20080441150), the Shandong Province Natural Fund Projects, China (Grant No. ZR2009AM017), Shandong Provincial Department of Education Project, China (Grant No. J06P14), the Qingdao Development Zone Project, China (Grant No. 2007-2-39), and SDUST Research Fund, China (Grant No. 2010KYTD101).

References

[1]	Charles Y H T, David N P, Alec G 1989 J. Opt. Soc. Am. 6 555
[2]	Heather J P 1998 J. Lightwave Technol. 16 1606
[3]	Chen H Y, Gu Z X, Yang Y 2012 Acta Phys. Sin. 61 200702 (in Chinese) [陈海云, 顾铮先, 杨颖 2012 物理学报 61 200702]
[4]	Zhu T, Shi C H, Rao Y J, Deng J C 2009 Acta Phys. Sin. 58 6316 (in Chinese) [朱涛, 史翠华, 饶云江, 邓建成 2009 物理学报 58 6316]
[5]	Amnon Y 1973 IEEE J. Quantum Electron. 9 919
[6]	Turan E J 2000 J. Opt. Soc. Am. 14 2113
[7]	Turan E J 1997 J. Lightwave Technol. 15 1277
[8]	Li L J, Ma H, Zhang Y L, Sui T, Lai Y Z, Li J, Cao M Y 2011 Acta Phys. Sin. 61 130201 (in Chinese) [李丽君, 马辉, 张艳亮, 隋涛, 来永政, 李晶, 曹茂永 2011 物理学报 61 130201]

Cited By

[1]	Charles Y H T, David N P, Alec G 1989 J. Opt. Soc. Am. 6 555
[2]	Heather J P 1998 J. Lightwave Technol. 16 1606
[3]	Chen H Y, Gu Z X, Yang Y 2012 Acta Phys. Sin. 61 200702 (in Chinese) [陈海云, 顾铮先, 杨颖 2012 物理学报 61 200702]
[4]	Zhu T, Shi C H, Rao Y J, Deng J C 2009 Acta Phys. Sin. 58 6316 (in Chinese) [朱涛, 史翠华, 饶云江, 邓建成 2009 物理学报 58 6316]
[5]	Amnon Y 1973 IEEE J. Quantum Electron. 9 919
[6]	Turan E J 2000 J. Opt. Soc. Am. 14 2113
[7]	Turan E J 1997 J. Lightwave Technol. 15 1277
[8]	Li L J, Ma H, Zhang Y L, Sui T, Lai Y Z, Li J, Cao M Y 2011 Acta Phys. Sin. 61 130201 (in Chinese) [李丽君, 马辉, 张艳亮, 隋涛, 来永政, 李晶, 曹茂永 2011 物理学报 61 130201]

[1]	Zhai Han-Yu, Shen Jia-Yin, Xue Xun. Effective quintessence from string landscape. Acta Physica Sinica, 2019, 68(13): 139501. doi: 10.7498/aps.68.20190282
[2]	Wang Hui-Ying, Wang Zhi, Cui Can, Li Hang-Tian, Li Qiang, Zhan Xiang-Kong, Wang Jian, Wu Chong-Qing. Dispersion characteristics of nonreciprocal gyroelectric silicon-on-insulator rectangular waveguide. Acta Physica Sinica, 2019, 68(15): 154203. doi: 10.7498/aps.68.20190109
[3]	Tu Xing-Hua, Zhao Yi-Chao. Temperature and stress sensing characteristics of symmetrically fused tapered fiber grating. Acta Physica Sinica, 2019, 68(24): 244204. doi: 10.7498/aps.68.20191034
[4]	Li Li-Jun, Ma Qian, Cao Mao-Yong, Gong Shun-Shun, Li Wen-Xian, Guo Xiao-Li, Liu Yi-Lin, Xu Lin, Liu Qian. Simulation and analysis of sensing modes of in-fiber interferometer. Acta Physica Sinica, 2017, 66(22): 220202. doi: 10.7498/aps.66.220202
[5]	Hou Yan-Jie, Hu Chun-Guang, Zhang Lei, Chen Xue-Jiao, Fu Xing, Hu Xiao-Tang. Characterization of effective conductive layer of nano organic thin film using reflectance spectroscopy. Acta Physica Sinica, 2016, 65(20): 200201. doi: 10.7498/aps.65.200201
[6]	Wang Xiao-Fei, Yang Hua-Jun, Zhang Ge, Zhang Qing-Li, Dou Ren-Qin, Ding Shou-Jun, Luo Jian-Qiao, Liu Wen-Peng, Sun Gui-Hua, Sun Dun-Lu. Measurement of refractive indices of GdTaO4 crystal by the auto-collimation method. Acta Physica Sinica, 2016, 65(8): 087801. doi: 10.7498/aps.65.087801
[7]	Zhao Hao, Shen Yi-Feng, Zhang Zhong-Jie. Collimating emission from photonic crystals based on the quasi-zero-effective-index. Acta Physica Sinica, 2014, 63(17): 174204. doi: 10.7498/aps.63.174204
[8]	Zheng Jing-Jing, Jian Shui-Sheng, Ma Lin, Bai Yun-Long, Pei Li, Ning Ti-Gang, Wen Ying-Hong. Solution refractive index sensor with wide-range high-resolution linear response based on short no-core fiber. Acta Physica Sinica, 2013, 62(15): 150703. doi: 10.7498/aps.62.150703
[9]	Zhou Wen-Fei, Ye Xiao-Ling, Xu Bo, Zhang Shi-Zhu, Wang Zhan-Guo. Study on properties of the H1 photonic crystal slab cavity using the effective index perturbation method. Acta Physica Sinica, 2012, 61(5): 054202. doi: 10.7498/aps.61.054202
[10]	Gong Yuan, Guo Yu, Rao Yun-Jiang, Zhao Tian, Wu Yu, Ran Zeng-Ling. Sensitivity analysis of hybrid fiber Fabry-Pérot refractive-index sensor. Acta Physica Sinica, 2011, 60(6): 064202. doi: 10.7498/aps.60.064202
[11]	Zhao Xing-Tao, Hou Lan-Tian, Liu Zhao-Lun, Wang Wei, Wei Hong-Yan, Ma Jing-Rui. Dispersion analysis of photonic crystal fiber using improved full-vectorial effective index method. Acta Physica Sinica, 2007, 56(4): 2275-2280. doi: 10.7498/aps.56.2275
[12]	Zhao Tian-En, Wu Rui-Xin, Yang Fan, Chen Ping. Negative effective refraction index in guided wave mode for periodic layered ferrite-dielectric/metallic film composites. Acta Physica Sinica, 2006, 55(1): 179-183. doi: 10.7498/aps.55.179
[13]	Zhang De Sheng, Dong Xiao Yi, Zhang Wei-Gang, Wang Zhi. Studies on the dispersion in photonic crystal fiber using the step effective index model. Acta Physica Sinica, 2005, 54(3): 1235-1240. doi: 10.7498/aps.54.1235
[14]	Ren Guo-Bin, Wang Zhi, Lou Shu-Qin, Jian Shui-Sheng. Dispersion properties of high-index-core Bragg fibers. Acta Physica Sinica, 2004, 53(6): 1862-1867. doi: 10.7498/aps.53.1862
[15]	Yin Jian-Ling, Liu Cheng-Yi, Yang You-Yuan, Liu Jiang, Fan Guang-Han. Effective ABCD formulation of the propagation of the atom laser. Acta Physica Sinica, 2004, 53(2): 356-361. doi: 10.7498/aps.53.356
[16]	Li Shu-Guang, Ji Yu-Ling, Zhou Gui-Yao, Hou Lan-Tian, Wang Qing-Yue, Hu Ming-Lie, Li Yan-Feng, Wei Zhi-Yi, Zhang Jun, Liu Xiao-Dong. Supercontinuum generation in holey microstructure fibers by femtosecond laser pulses. Acta Physica Sinica, 2004, 53(2): 478-483. doi: 10.7498/aps.53.478
[17]	Li Shu-Guang, Liu Xiao-Dong, Hou Lan-Tian. Vector analysis of dispersion for the fundamental cladding mode in photonic crystal fibers. Acta Physica Sinica, 2004, 53(6): 1873-1879. doi: 10.7498/aps.53.1873
[18]	Xu Xin Hua, Cui Yi Ping. Theoretical analysis and numerical calculation for the transmission spectrum of long-period fiber gratings with a rectangular index modulation. Acta Physica Sinica, 2003, 52(1): 96-101. doi: 10.7498/aps.52.96
[19]	Li Shu-Guang, Liu Xiao-Dong, Hou Lan-Tian. The study of waveguide mode and dispersion property in photonic crystal fibres. Acta Physica Sinica, 2003, 52(11): 2811-2817. doi: 10.7498/aps.52.2811
[20]	ZHU SHI-YAO, FANG JUN-XIN. THE NONLINEAR AND THERMAL EFFECTS OF REFRACTIVE INDEX OF OPTICAL FIBRE MATERIAL. Acta Physica Sinica, 1986, 35(4): 451-458. doi: 10.7498/aps.35.451

Catalog

Vol. 62, Issue 14 - 2013-07-20

Metrics

Abstract views: 19656
PDF Downloads: 14130
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板