A non-orthogonal coupled mode theory for super-modes inside multi-core fibers

被引:8
作者
Zhou, Junhe [1 ]
机构
[1] Tongji Univ, Dept Elect Sci & Engn, Shanghai 200092, Peoples R China
来源
OPTICS EXPRESS | 2014年 / 22卷 / 09期
基金
美国国家科学基金会;
关键词
DESIGN; TRANSMISSION; ARRAYS;
D O I
10.1364/OE.22.010815
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, a non-orthogonal coupled mode theory is proposed to analyze the super-modes of multi-core fibers (MCFs). The theory is valid in the strong coupling regime and can provide accurate analytical formulas for the super-modes inside MCFs. MCFs with circularly distributed cores are analyzed as an example. Analytical formulas are derived both for the refractive indexes and the eigen vectors of the super-modes. It is rigorously revealed that the eigen vectors for the super-modes of such MCFs are the row vectors of the inverse discrete Fourier transform (IDFT) matrix. Therefore, by pre-coding the signal channels via IDFT, one is able to generate the super-modes for the MCFs with circularly distributed cores. (C) 2014 Optical Society of America
引用
收藏
页码:10815 / 10824
页数:10
相关论文
共 21 条
  • [1] Toeplitz and Circulant Matrices: A Review
    Gray, Robert M.
    [J]. FOUNDATIONS AND TRENDS IN COMMUNICATIONS AND INFORMATION THEORY, 2006, 2 (03): : 155 - 239
  • [2] Hayashi T., 2011, OPT FIB COMM C NAT F
  • [3] Huang W. P., J OPT SOC AM A, V11, P963
  • [4] Design and modeling of passive optical switches and power dividers using non-planar coupled fiber arrays
    Hudgings, J
    Molter, L
    Dutta, M
    [J]. IEEE JOURNAL OF QUANTUM ELECTRONICS, 2000, 36 (12) : 1438 - 1444
  • [5] KAPON E, 1984, OPT LETT, V9, P125, DOI 10.1364/OL.9.000125
  • [6] Novel multi-core fibers for mode division multiplexing: proposal and design principle
    Kokubun, Yasuo
    Koshiba, Masanori
    [J]. IEICE ELECTRONICS EXPRESS, 2009, 6 (08): : 522 - 528
  • [7] Little B.E., 1995, Progress in Electromagnetics Research, V10, P217
  • [8] Shaping modes in multicore photonic crystal fibers
    Mafi, A
    Moloney, JV
    [J]. IEEE PHOTONICS TECHNOLOGY LETTERS, 2005, 17 (02) : 348 - 350
  • [9] Spatially dispersive scheme for transmission and synthesis of femtosecond pulses through a multicore fiber
    Mansuryan, T.
    Rigaud, Ph
    Bouwmans, G.
    Kermene, V.
    Quiquempois, Y.
    Desfarges-Berthelemot, A.
    Armand, P.
    Benoist, J.
    Barthelemy, A.
    [J]. OPTICS EXPRESS, 2012, 20 (22): : 24769 - 24777
  • [10] Analytical solutions of coupled-mode equations for multiwaveguide systems, obtained by use of Chebyshev and generalized Chebyshev polynomials
    Meng, YC
    Guo, QZ
    Tan, WH
    Huang, ZM
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2004, 21 (08) : 1518 - 1528