ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The problem of parametric instabilities in the presence of space-time fluctuation in homogeneous or inhomogeneous plasmas can be cast into the problem of finding an effective Hamiltonian Heff of the linear stochastic equation. For the Kubo–Anderson–random-phase model (RPM) [J. Math. Phys. 15, 524 (1974); Phys. Rev. Lett. 29, 565 (1972); J. Phys. Soc. Jpn. 9, 316 (1954)], Heff is generally found to be of the form H0+ΔωH1, where H0 represents all the coherent effects and ΔωH1 represents the finite bandwidth modification. It is shown that H1 is a trivial constant matrix for all parametric processes. A method called frame transformation is introduced to treat all kinds of group velocities in a unified fashion. The theory can be used to calculate average amplitude as well as average power. Importantly, the theory is not limited to wide bandwidths.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.866900
