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Exact eigenvalue equations for weakly guiding optical fibers with arbitrary graded-index profile

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4 Author(s)
Zheng Liang ; Inst. of Opt. & Photonics, Shanghai Jiao Tong Univ., China ; Cao, Zhuangqi ; Qishun Shen ; Deng, Xiaoxu

A modified analytical transfer matrix method (ATMM) is extended to investigate the LPlm modes of weakly guiding optical fibers with arbitrary graded-index profile. Two classes of eigenvalue equation with respect to azimuthal number l = 0 and l ≠ 0 are developed, respectively. It is confirmed that the phase shift at a turning point in optical fibers is equal to π as well as in planar optical waveguides. The existence of the phase shift at the center of the core in optical fibers, which is equal to 2arctan2 for the case of l = 0, is also demonstrated. Moreover, a numerical comparison with the available reference solution shows that the proposed method is exact.

Published in:

Lightwave Technology, Journal of  (Volume:23 ,  Issue: 2 )