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Phys. Rev. Lett. 61, 2929 - 2932 (1988)

Nonlinear Focusing of Coupled Waves

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C. J. McKinstrie * and D. A. Russell
Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Received 29 July 1988

The collinear propagation of an arbitrary number of finite-amplitude waves is modeled by a system of coupled nonlinear Schrödinger equations. This model incorporates the effects of a coordinate-dependent external potential and coordinate-independent nonlinearities. A virial theorem is derived, which governs the nonlinear focusing of these coupled waves. For two light waves in a beat-wave accelerator, the coupling to each other and to the resonantly generated Langmuir wave has a significant effect on the focusing properties of the waves.


©1988 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.61.2929
DOI: 10.1103/PhysRevLett.61.2929
PACS: 52.35.Mw, 42.65.Jx, 47.35.+i, 52.75.Di

* Present address: Department of Mechanical Engineering, University of Rochester, Rochester, NY 14627.

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