Relativistic and nonrelativistic modulational instability of a laser radiation in an unmagnetized laser-produced plasma: Kinetic theory

Mamun, A. A.; Majid, F.; Alam, M. N.

doi:10.1007/bf02451719

Cited by 2 publications

(1 citation statement)

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“…al. [12] have investigated the relativistic and non-relativistic modulational instability of a laser radiation in an unmagnetized laser-produced plasma from Vlasov-Maxwell equations, whereas the effects of spontaneous magnetic fields were not taken into account. Brodin [13] has studied the nonlinear low-frequency response and the corresponding magnetic field generated by electromagnetic wave in a weakly relativistic plasma, in which a weak relativistic approximation of particle energy was used.…”

Section: Introductionmentioning

confidence: 99%

Magneto‐Modulational Instability in Relativistic Plasmas

Liu

2011

Contrib. Plasma Phys.

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The behavior of magnetic fields generated by high frequency transverse plasmons in relativistic plasmas can be described by a set of nonlinear coupling equations, which has considered the nonlinear wave-wave, waveparticle interactions and the relativistic effects of electrons. Modulational instability of the spontaneous magnetic fields is investigated on the basis of the nonlinear coupling equations. Analytical and numerical results indicate the self-generated magnetic fields are modulationally unstable and will be localized in a narrow region. The characteristic scale and maximum growth rate of the magnetic fields depend on the average Lorentz factor of electrons and the energy density of transverse plasmons. The relativistic effects of electrons will enhance the self-focusing of magnetic fields.

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Section: Introductionmentioning

confidence: 99%