Resonant and non-resonant soliton scattering by impurities |
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| Institution: | 1. Faculty of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, People''s Republic of China;2. Department of Mathematics, China University of Mining and Technology, Beijing 100083, People''s Republic of China;1. State Key Laboratory of Information Photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | The NLSE soliton scattering by impurities is considered in the framework of the one-dimensional model. The scattering intensity is characterized by the reflection coefficient of the soliton is calculated in the Born approximation of the perturbation theory for the following cases: (i) and isolated impurity, (ii) two point impurities, and (iii) a regular or random system of point impurities. An analytical comparison with the scattering of linear waves is carried out. In particular, we analytically describe the nonlinear resonant scattering by two point impurities, and the non-resonant soliton scattering by a random system of point impurities. |
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