Asymptotic dynamics of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes

Eduard G. Fedorov, Alexander V. Zhukov, Roland Bouffanais*, Boris A. Malomed, Hervé Leblond, Dumitru Mihalache, Nikolay N. Rosanov, Mikhail B. Belonenko, Thomas F. George

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study the propagation of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes at times much longer than the pulse duration, yet still shorter than the relaxation time in the system. The interaction of the electromagnetic field with the electronic subsystem of the medium is described by means of Maxwell’s equations, taking into account the field inhomogeneity along the nanotube axis beyond the approximation of slowly varying amplitudes and phases. A model is proposed for the analysis of the dynamics of an electromagnetic pulse in the form of an effective equation for the vector potential of the field. Our numerical analysis demonstrates the possibility of a satisfactory description of the evolution of the pulse field at large times by means of a three-dimensional generalization of the sine-Gordon and double sine-Gordon equations.

Original languageEnglish
Pages (from-to)27592-27609
Number of pages18
JournalOptics Express
Volume27
Issue number20
DOIs
StatePublished - 30 Sep 2019

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