Issue |
EPL
Volume 121, Number 2, January 2018
|
|
---|---|---|
Article Number | 20001 | |
Number of page(s) | 7 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/121/20001 | |
Published online | 13 March 2018 |
Resonant optical pulses on a continuous-wave background in two-level active media
1 Department of Mathematics, State University of New York at Buffalo - Buffalo, NY 14260, USA
2 Department of Physics, State University of New York at Buffalo - Buffalo, NY 14260, USA
3 Department of Mathematical Sciences, Rensselaer Polytechnic Institute - Troy, NY 12180, USA
4 Department of Mathematics, University of Arizona - Tucson, AZ 85721, USA
Received: 18 January 2018
Accepted: 17 February 2018
We present exact N-soliton optical pulses riding on a continuous-wave (c.w.) beam that propagate through and interact with a two-level active optical medium. Their representation is derived via an appropriate generalization of the inverse scattering transform for the corresponding Maxwell-Bloch equations. We describe the single-soliton solutions in detail and classify them into several distinct families. In addition to the analogues of traveling-wave soliton pulses that arise in the absence of a c.w. beam, we obtain breather-like structures, periodic pulse-trains and rogue-wave–type (i.e., rational) pulses, whose existence is directly due to the presence of the c.w. beam. These soliton solutions are the analogues for Maxwell-Bloch systems of the four classical solution types of the focusing nonlinear Schrödinger equation with non-zero background, although the physical behavior of the corresponding solutions is quite different.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Yv – Solitons / 02.30.Ik – Integrable systems
© EPLA, 2018
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.