Akhmediev–Peregrine rogue waves generation in a composite right/left-handed transmission line

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• 作者：Paul Yannick Gouadjio Dontsop…
• 关键词：Composite transmission line ; right/left ; handed behavior ; Metamaterials ; Rogue waves generation ; Collective coordinates
• 刊名：Optical and Quantum Electronics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：48
• 期：1
• 全文大小：2,915 KB
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• 作者单位：Paul Yannick Gouadjio Dontsop (1)
  Bedel Giscard Onana Essama (2) (4) (5)
  Jean Marie Dongo (3)
  Mireille Mbou Dedzo (3) (5)
  Jacques Atangana (2) (4) (5)
  David Yemele (1)
  Timoleon Crepin Kofane (3) (5)
  
  1. Laboratory of Electronics, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
  2. Laboratory of Energy - Electric and Electronic systems, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
  4. Department of Physics, Higher Teacher Training College Yaounde, University of Yaounde I, P.O. Box 47, Yaounde, Cameroon
  5. Centre d’Excellence Africain des Technologies de l’ Information et de la Communication (CETIC), Université de Yaoundé I, Yaounde, Cameroon
  3. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box. 812, Yaounde, Cameroon
  
• 刊物主题：Optics, Optoelectronics, Plasmonics and Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X

文摘

We analyze the right-handed behavior of a composite right/left-handed transmission line where electromagnetic wave is propagated. Cubic-nonlinearity, second-order dispersion and losses are taken into account. The left-handed behavior in such system which has been previously investigated in literature is compared to right-handed behavior presented here. Three frequency ranges have been outlined. The first one presents a distorted pulse which does not satisfy soliton conditions. We demonstrate that a weak nonlinearity strongly act on dispersion effect in order to induce modulational instability which leads to Akhmediev–Peregrine rogue waves generation. The second frequency range corresponds to intermediate frequencies which presents a collapsed soliton leading to a dispersive pulse. This situation is progressively improved and leads to a stable and robust soliton at the third frequency range when frequency increases. We also analyze in details the internal excitation leading to the external modification which provokes rogue waves generation in such system. It clearly appears that the number of rogue waves increases with frequency. The peak power and the form of rogue waves strongly dependant on the nonlinearity strength of distortion. The above results can allow the best comprehension of the rogue waves generation in composite transmission lines.