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arXiv · 1112.1842

Stationary one-dimensional dispersive shock waves

Yaroslav V. Kartashov·Anatoly M. Kamchatnov
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Abstract

We address shock waves generated upon the interaction of tilted plane waves with negative refractive index defect 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 defect or generating beam, the competition between gain and two-photon absorption in 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 certain critical value.

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Yaroslav V. Kartashov, Anatoly M. Kamchatnov. 2011-12-08. Stationary one-dimensional dispersive shock waves. https://doi.org/10.1364/ol.37.000389

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