The modulational instability of coupled waves

C. J. McKinstrie, R. Bingham

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

The collinear propagation of an arbitrary number of finite‐amplitude waves is modeled by a system of coupled nonlinear Schrödinger equations; one equation for each complex wave amplitude. In general, the waves are modulationally unstable with a maximal growth rate larger than the modulational growth rate of any wave alone. Moreover, waves that are modulationally stable by themselves can be driven unstable by the nonlinear coupling. The general theory is then applied to the relativistic modulational instability of two laser beams in a beat‐wave accelerator. For parameters typical of a proposed beat‐wave accelerator, this instability can seriously distort the incident laser pulse shapes on the particle‐acceleration time scale, with detrimental consequences for particle acceleration.
LanguageEnglish
Pages230-237
Number of pages8
JournalPhysics of Fluids B-Plasma Physics
Volume1
Issue number1
DOIs
Publication statusPublished - 1 Jan 1989

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particle acceleration
Particle accelerators
synchronism
accelerators
Nonlinear equations
Wave propagation
nonlinear equations
Laser beams
Laser pulses
laser beams
propagation
pulses
lasers

Keywords

  • waves
  • modulational instability
  • beat-wave accelerator
  • particle acceleration

Cite this

McKinstrie, C. J. ; Bingham, R. / The modulational instability of coupled waves. In: Physics of Fluids B-Plasma Physics. 1989 ; Vol. 1, No. 1. pp. 230-237.
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The modulational instability of coupled waves. / McKinstrie, C. J.; Bingham, R.

In: Physics of Fluids B-Plasma Physics, Vol. 1, No. 1, 01.01.1989, p. 230-237.

Research output: Contribution to journalArticle

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