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Efficient time-domain finite-difference beam propagation methods for the analysis of slab and circularly symmetric waveguides

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4 Author(s)
Shibayama, J. ; Coll. of Eng., Hosei Univ., Tokyo, Japan ; Takahashi, T. ; Yamauchi, J. ; Nakano, H.

The generalized Douglas scheme is applied to the time-domain finite difference beam propagation methods (TD-BPMs) in rectangular and cylindrical coordinates. High accuracy and efficiency are demonstrated through the analysis of optical pulse propagation in slab and circularly symmetric waveguides. As an example of a reflection problem, the TD-BPM in cylindrical coordinates is applied to the analysis of a fiber Bragg grating with a sinusoidal index change. Effectiveness of the present scheme is discussed in comparison with the conventional TD-BPM and the finite-difference time-domain method.

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Lightwave Technology, Journal of  (Volume:18 ,  Issue: 3 )