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Phys. Rev. E 71, 066601 (2005) [9 pages]

Trapping Bragg solitons by a pair of defects

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Peter Y. P. Chen1, Boris A. Malomed2,3, and Pak L. Chu3
1School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney 2062, Australia
2Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
3Optoelectronics Research Centre, Department of Electronics Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

Received 23 February 2005; published 8 June 2005

We study collisions of moving solitons in a fiber Bragg grating with a structure composed of two local defects of the grating, attractive or repulsive. Results are summarized in the form of diagrams showing the share of the trapped energy as a function of the soliton’s velocity and defects’ strength. The moving soliton can be trapped by a cavity bounded by repulsive defects; a well-defined region of the most efficient trapping is identified. The trapped soliton performs persistent oscillations in the cavity, with the frequency in the GHz range. For attractive defects, essential differences are found from the earlier studied case of the collision of a soliton with a single defect: in this case, too, there appears a well-defined region of the most efficient trapping, and the largest velocity, up to which the soliton can be captured, increases. The findings may be significant for experiments aimed at the creation of “standing-light” pulses in the fiber gratings and for related applications. Collisions between identical solitons moving across the two-defect structure are also studied. On the attractive set, soliton-soliton collisions may give rise to symmetric capture of the solitons by both defects or merger into a single pulse trapped at one defect.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.066601
DOI:
10.1103/PhysRevE.71.066601
PACS:
42.65.Tg, 42.79.Dj, 05.45.Yv