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Phys. Rev. E 77, 036603 (2008) [8 pages]

Evolution of the unidirectional electromagnetic pulses in an anisotropic two-level medium

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A. A. Zabolotskii*
Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, 630090 Novosibirsk, Russia

Received 27 September 2007; revised 9 January 2008; published 5 March 2008

We find a general integrable system of reduced Maxwell-Bloch equations describing the interaction of a two-component electromagnetic field with the dipole transition of a two-level medium. The anisotropy of the anisotropic dipole momentum of the transition as a permanent dipole momentum is taken into account. A solution of the model is found for a particular case by using the inverse scattering transform. The method is based on a solution of the Riemann-Hilbert problem taking into account the symmetry properties of the corresponding fundamental solutions.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.036603
DOI:
10.1103/PhysRevE.77.036603
PACS:
41.20.−q, 02.30.Ik, 42.50.Md, 42.65.Tg

*zabolotskii@iae.nsk.su