中国物理B ›› 2002, Vol. 11 ›› Issue (10): 981-987.doi: 10.1088/1009-1963/11/10/301

• GENERAL •    下一篇

Resonance modes in optical fibres

余寿绵1, 余恬2   

  1. (1)Department of Physics, Shandong University, Jinan 250100, China; (2)School of Information Science and Engineering, Shandong University, Jinan 250100, China
  • 收稿日期:2001-12-06 修回日期:2002-05-29 出版日期:2005-06-12 发布日期:2005-06-12

Resonance modes in optical fibres

Yu Shou-Mian (余寿绵)a, Yu Tian (余恬)b   

  1. a Department of Physics, Shandong University, Jinan 250100, China; b School of Information Science and Engineering, Shandong University, Jinan 250100, China
  • Received:2001-12-06 Revised:2002-05-29 Online:2005-06-12 Published:2005-06-12

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摘要： The weakly nonlinear boundary value problem of wave propagation in an optical fibre (for the transverse electric mode, for example) is formulated and a modified linear solution is obtained. It is shown that a self-consistent theory of fibre optics should be weakly nonlinear. The mode of critical refraction that does not exist in the linear theory is obtained, showing that it is a mode consisting of resonance modes. It is shown that the signal carriers in a long fibre are of resonance modes, not normal modes. Some experimental data are given for comparison with the theoretical predictions, and the agreement seems satisfactory.

Abstract: The weakly nonlinear boundary value problem of wave propagation in an optical fibre (for the transverse electric mode, for example) is formulated and a modified linear solution is obtained. It is shown that a self-consistent theory of fibre optics should be weakly nonlinear. The mode of critical refraction that does not exist in the linear theory is obtained, showing that it is a mode consisting of resonance modes. It is shown that the signal carriers in a long fibre are of resonance modes, not normal modes. Some experimental data are given for comparison with the theoretical predictions, and the agreement seems satisfactory.

Key words: optical fibre, weak nonlinearity, critical refraction, resonance modes

中图分类号:  (Propagation, scattering, and losses; solitons)

  • 42.81.Dp
03.50.De (Classical electromagnetism, Maxwell equations)