Circularly polarized few-optical-cycle solitons in Kerr media: A complex modified Korteweg-de Vries model |
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| Authors: | H Leblond H Triki F Sanchez D Mihalache |
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| Institution: | 1. Laboratoire de Photonique d''Angers, EA 4464, Université d''Angers, 2 Bd. Lavoisier, 49045 Angers Cedex 01, France;2. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria;3. Horia Hulubei National Institute for Physics and Nuclear Engineering, P.O.B. MG-6, 077125 Magurele, Romania;4. Academy of Romanian Scientists, 54 Splaiul Independentei, Bucharest 050094, Romania;1. Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde 528300, China;2. Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar;3. Institute of Physics, University of Belgrade, P.O. Box 57, 11001 Belgrade, Serbia;1. Department of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland;2. Facultad de Ciencias Exactas, Departamento de Matemáticas, Universidad Andres Bello, República 220, Santiago, Chile;3. Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 307 Correo 2, Santiago, Chile;1. School of Economics and Management, Beijing University of Posts and Telecommunications, Beijing 100876, PR China;2. Beijing Union University, Beijing 100101, PR China;3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, PR China;4. School of Science, P. O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, PR China;1. Department of Physics, Faculty of Science, Damietta University, New Damietta, 34517, Egypt;2. Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha, Saudi Arabia;3. Department of Physics, College of Science for Girls in Abha, King Khalid University, Abha, P.O. 960, Saudi Arabia;1. National Research University Higher School of Economics, Russian Federation;2. Skolkovo Institute of Science and Technology, 143026 Moscow, Russian Federation;3. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, 119991 Moscow, Russian Federation;4. ITEP, B. Cheremushkinskaya 25, Moscow 117218, Russian Federation;5. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, Moscow Region 141700, Russian Federation;1. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, PR China;2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, PR China;3. School of Mathematics and Statistics, Qilu University of Technology, Daxue Road, Jinan, 250353, PR China |
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| Abstract: | We consider the propagation of few-cycle pulses (FCPs) in cubic nonlinear media exhibiting a “crystal-like” structure, beyond the slowly varying envelope approximation, taking into account the wave polarization. By using the reductive perturbation method we derive from the Maxwell–Bloch–Heisenberg equations, in the long-wave-approximation regime, a non-integrable complex modified Korteweg-de Vries equation describing the propagation of circularly polarized (CP) FCPs. By direct numerical simulations of the governing nonlinear partial differential equation we get robust CP FCPs and we show that the unstable ones decays into linearly polarized half-cycle pulses, whose polarization direction slowly rotates around the propagation axis. |
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