We address shock waves generated upon the interaction of tilted plane waves with negative refractive index defects in defocusing media with linear gain and two-photon absorption. We found that, in contrast to conservative media where one-dimensional dispersive shock waves usually exist only as nonstationary objects expanding away from a defect or generating beam, the competition between gain and two-photon absorption in a dissipative medium results in the formation of localized stationary dispersive shock waves, whose transverse extent may considerably exceed that of the refractive index defect. One-dimensional dispersive shock waves are stable if the defect strength does not exceed a certain critical value.
© 2012 Optical Society of America
Original Manuscript: October 12, 2011
Revised Manuscript: November 20, 2011
Manuscript Accepted: December 1, 2011
Published: January 30, 2012
Yaroslav V. Kartashov and Anatoly M. Kamchatnov, "Stationary one-dimensional dispersive shock waves," Opt. Lett. 37, 389-391 (2012)