Numerical simulation of solitons switching and propagating in asymmetric directional couplers |
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| Authors: | Qiliang Li Aixin Zhang Xiaofeng Hua |
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| Affiliation: | 1. Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus;2. Department of Physics, Chemistry and Mathematics, Alabama A& M University, Normal, AL 35762-7500, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow 115409, Russian Federation;5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;6. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China;7. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA;2. Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia;3. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow–115409, Russian Federation;4. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia;5. Department of Mathematics, Hiralal Mazumdar Memorial College for Women, Dakshineswar, Kolkata–700035, India;6. Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania;7. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;8. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar |
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| Abstract: | A numerical investigation, based on the use of split step Fourier transformation algorithm, of all-optical solitons switching in asymmetric directional couplers is presented. The numerical algorithm is described in details. The analysis highlights the influence of the different effective mode area, the phase- and group–velocity mismatch, the different dispersion between two cores on the switching and propagation of short pulses. The investigation indicates that the phase velocity mismatch and the different effective mode area can reduce the coupling length while the different group velocity and the different dispersion between two cores do not change the coupling length. We have also found that the increase of effective mode area ratio can lead to an increase of the switching threshold power but improve significantly the switching steepness, the increase of the phase velocity mismatch can cause a decrease of the switching threshold power but degrade the switching steepness, the increase of the ratio of dispersion can result in a decrease of the switching threshold power and vary the switching steepness, the increase of group velocity mismatch can give rise to an increase of the switching threshold power but improve obviously the switching steepness. Furthermore, the group velocity mismatch can induce solitons pulse to walk off or stretch in the asymmetric directional coupler. |
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