Elliptic incoherent solitons in strongly nonlocal media with anisotropic Kerr nonlinearity |
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| Authors: | Qian Kong Jielong Shi Ming Shen Qi Wang |
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| Institution: | 1. School of Physics and Electrical Information, Shangqiu Normal University, Shangqiu 476000, China;2. Department of Physics, Guangdong University of Education, Guangzhou 510303, China;1. College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, China;2. College of Physics and Information Engineering, Hebei Advanced Thin Films Laboratory, Hebei Normal University, Shijiazhuang 050024, China;1. Department of Physics, Shanghai University, 99 Shangda Road, Shanghai 200444, People''s Republic of China;2. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;3. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;4. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar |
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| Abstract: | The propagation of elliptic incoherent beam in strongly nonlocal media with noninstantaneous anisotropic Kerr nonlinearity is systematically investigated. Using the mutual coherence function approach, we obtain the existence curve of such solitons and an interesting outcome: correlation characteristics of the elliptic incoherent solitons can be anisotropic as well as isotropic. When the existence conditions of solitons are not satisfied, the elliptic incoherent beam will undergo periodic oscillation. Nonstationary evolution behaviors of the elliptic beam are shown in detail by numerical calculation. It is also obtained that the oscillation periods of the beam in x and y direction are different and the elliptic beam will become circular at some propagation distance under special conditions. |
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