This article is cited in 4 papers

Undelayed self-focusing of nondispersive waves with a broad spectrum

O. V. Rudenko, O. A. Sapozhnikov

M. V. Lomonosov Moscow State University

Abstract: The self-focusing of wave beams in a nondispersive medium with a cubic nonlinearity is analyzed. The analysis is based on a field equation analogous to a nonlinear Schrödinger equation. Waves whose temporal profile is a periodic train of shock waves are studied. Calculations are carried out in the aberrationless approximation. The cubic nonlinearity causes not only a self-focusing but also, because of the shock fronts, an absorption of a wave. The self-focusing, however, is only slight. Although the beam does contract, the wave amplitudes undergo essentially no increase.

UDC: 621.373.826

PACS: 42.65.Jx, 43.25.-x, 42.65.Re, 43.35.Ud, 03.65.Ge

Received: 12.07.1993

 English version: Quantum Electronics, 1993, 23:10, 896–898

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