a Department of Physics, Shandong University, Jinan 250100, China; b School of Information Science and Engineering, Shandong University, Jinan 250100, China
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.
Received: 06 December 2001
Revised: 29 May 2002
Accepted manuscript online:
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