Chin. Phys. Lett.  2004, Vol. 21 Issue (8): 1549-1552    DOI:
Original Articles |
Multi-Mode Coupling in Long-Period Fibre Gratings
LIU Zi-Xi;YANG Chang-Xi
Department of Precision Instruments, Tsinghua University, Beijing 100084
Cite this article:   
LIU Zi-Xi, YANG Chang-Xi 2004 Chin. Phys. Lett. 21 1549-1552
Download: PDF(405KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We report multi-mode coupling in long-period fibre gratings (LPFGs). The analytical solution to three-mode coupling equations is presented for the first time. A 3×3 transmission matrix is attained and can be used to calculate the transmission spectra of nonuniform gratings in a way much faster than direct numerical integration. It is shown that when the resonant wavelengths of cladding modes are far from each other, two-mode coupling model can still be used. Otherwise we can only choose a multi-mode coupling model. Theoretically fitting of the result from the multi-mode coupling equations agrees well with the experimental one for mechanically-induced LPFGs.
Keywords: 42.79.Dj      42.81.Qb     
Published: 01 August 2004
PACS:  42.79.Dj (Gratings)  
  42.81.Qb (Fiber waveguides, couplers, and arrays)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2004/V21/I8/01549
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LIU Zi-Xi
YANG Chang-Xi
Related articles from Frontiers Journals
[1] LI Cheng-Guo, GAO Yong-Hao, XU Xing-Sheng. Angular Tolerance Enhancement in Guided-Mode Resonance Filters with a Photonic Crystal Slab[J]. Chin. Phys. Lett., 2012, 29(3): 1549-1552
[2] KONG Duan-Hua, ZHU Hong-Liang, LIANG Song, WANG Bao-Jun, BIAN Jing, MA Li, YU Wen-Ke, LOU Cai-Yun . Influence Factors of an All-Optical Recovered Clock from Two-Section DFB Lasers[J]. Chin. Phys. Lett., 2011, 28(9): 1549-1552
[3] ZHOU Liang, LI Zhi-Yong**, XIAO Xi, XU Hai-Hua, FAN Zhong-Chao, HAN Wei-Hua, YU Yu-De, YU Jin-Zhong. A Compact and Highly Efficient Silicon-Based Asymmetric Mach–Zehnder Modulator with Broadband Spectral Operation[J]. Chin. Phys. Lett., 2011, 28(7): 1549-1552
[4] LIU Tian, TONG Wei-Jun, ZHANG Fang-Hai, ZHANG Xin-Ben, DAI Neng-Li**, LI Jin-Yan . A New Ge/F−Co-doped SMF with Enhanced SBS Threshold Fabricated by PCVD[J]. Chin. Phys. Lett., 2011, 28(10): 1549-1552
[5] WANG Jing-Li, **, YAO Jian-Quan, CHEN He-Ming, LI Zhong-Yang . A Simple Birefringent Terahertz Waveguide Based on Polymer Elliptical Tube[J]. Chin. Phys. Lett., 2011, 28(1): 1549-1552
[6] LU Yun-Qing, LI Pei-Li, ZHENG Jia-Jin. The Axial Spatial Evolution of Optical Field near the Talbot Plane of a Grating[J]. Chin. Phys. Lett., 2010, 27(9): 1549-1552
[7] WU Wen-Xuan, LUO Yan-Hua, CHENG Xu-Sheng, TIAN Xiu-Jie, QIU Wei-Wei, REN Xi-Feng, ZHU Bing, ZHANG Qi-Jin,. Effect of Zeroth-Order beam on Azobenzene Polymer Surface Relief Gratings Fabricated by Phase-Mask Method[J]. Chin. Phys. Lett., 2010, 27(9): 1549-1552
[8] KANG Xiu-Bao, TAN Wei, WANG Zhan-Shan, WANG Zhi-Guo, CHEN Hong. High Efficiency One-Way Transmission by One-Dimensional Photonic Crystals with Gratings on One Side[J]. Chin. Phys. Lett., 2010, 27(7): 1549-1552
[9] HU Xu-Hui, GONG Ke, SUN Tian-Yu, WU Dong-Min. Polarization-Independent Guided-Mode Resonance Filters under Oblique Incidence[J]. Chin. Phys. Lett., 2010, 27(7): 1549-1552
[10] ZHANG Yun-Jun, WANG Wei, ZHOU Ren-Lai, SONG Shi-Fei, TIAN Yi, WANG Yue-Zhu. Narrow Linewidth Tm3+-Doped Large Core Fiber Laser Based on a Femtosecond Written Fiber Bragg Grating[J]. Chin. Phys. Lett., 2010, 27(7): 1549-1552
[11] WU Bao-Jian, LU Xin, QIU Kun. Magneto-Optic Fiber Gratings Useful for Dynamic Dispersion Management and Tunable Comb Filtering[J]. Chin. Phys. Lett., 2010, 27(6): 1549-1552
[12] DUAN Yu-Wen, ZHANG Ru, WANG Jin, CHEN Xi, ZHONG Kun. Suppercontinuum Generation in InP Nano Inner Cladding Fibers[J]. Chin. Phys. Lett., 2010, 27(5): 1549-1552
[13] LI Li-Sha, FENG Xuan-Qi. Synthesis of Fiber Bragg Gratings with Right-Angled Triangular Spectrum[J]. Chin. Phys. Lett., 2010, 27(5): 1549-1552
[14] WANG Ying, LI Yu-Hua, LU Pei-Xiang. Infrared Femtosecond Laser Direct-Writing Digital Volume Gratings in Fused Silica[J]. Chin. Phys. Lett., 2010, 27(4): 1549-1552
[15] ZHAO Hua-Jun, YUAN Dai-Rong, WANG Pei, LU Yong-Hua, MING Hai. Design of a Fused-Silica Subwavelength Polarizing Beam Splitter Grating Based on the Modal Method[J]. Chin. Phys. Lett., 2010, 27(2): 1549-1552
Viewed
Full text


Abstract