Self-consistent Langmuir waves in resonantly driven thermal plasmas
نویسندگان
چکیده
The longitudinal dynamics of a resonantly driven Langmuir wave are analyzed in the limit that the growth of the electrostatic wave is slow compared to the bounce frequency. Using simple physical arguments, the nonlinear distribution function is shown to be nearly invariant in the canonical particle action, provided both a spatially uniform term and higher-order spatial harmonics are included along with the fundamental in the longitudinal electric field. Requirements of self-consistency with the electrostatic potential yield the basic properties of the nonlinear distribution function, including a frequency shift that agrees closely with driven, electrostatic particle simulations over a range of temperatures. This extends earlier work on nonlinear Langmuir waves by Morales and O’Neil G. J. Morales and T. M. O’Neil, Phys. Rev. Lett. 28, 417 1972 and Dewar R. L. Dewar, Phys. Plasmas 15, 712 1972 , and could form the basis of a reduced kinetic treatment of plasma dynamics for accelerator applications or Raman backscatter. © 2007 American Institute of Physics. DOI: 10.1063/1.2801714
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تاریخ انتشار 2007