A Coherent Nonlinear Theory of a Cyclotron Instability PDF Download
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Author: P. Sprangle Publisher: ISBN: Category : Languages : en Pages : 33
Book Description
A general nonlinear theory of coherent instabilities is presented and applied to the generation of microwaves by a relativistic beam. The instability is driven both by partial f/partial (p perpendicular) 7 0 and the relativistic dependence on cyclotron frequency on particle energy. This dependence can cause a bunching in azimuthal angle in such a way as to cause net particle energy to decrease. The nonlinear evolution of this system is studied by writing the orbit equations for a small number of pariticles averaged over the fast time scale. The orbit equations are then integrated numerically. The equation for the mode amplitude is found by converving energy between waves and particles. A simple analytic theory is also presented which successfully predicts the maximum field amplitude and also the behavior of the system for times long after saturation. (Author).
Author: P. Sprangle Publisher: ISBN: Category : Languages : en Pages : 33
Book Description
A general nonlinear theory of coherent instabilities is presented and applied to the generation of microwaves by a relativistic beam. The instability is driven both by partial f/partial (p perpendicular) 7 0 and the relativistic dependence on cyclotron frequency on particle energy. This dependence can cause a bunching in azimuthal angle in such a way as to cause net particle energy to decrease. The nonlinear evolution of this system is studied by writing the orbit equations for a small number of pariticles averaged over the fast time scale. The orbit equations are then integrated numerically. The equation for the mode amplitude is found by converving energy between waves and particles. A simple analytic theory is also presented which successfully predicts the maximum field amplitude and also the behavior of the system for times long after saturation. (Author).
Author: Martin Lampe Publisher: ISBN: Category : Languages : en Pages : 16
Book Description
A theory is presented for the nonlinear evolution of the beam cyclotron instability, together with the results of a series of computer experiments confirming the main points of the theory. The authors conclude that at a turbulent level which is proportional to Omega sub CE/omega sub pe) squared, a transition is made to the nonmagnetic ion acoustic instability. For small T sub i/T sub e, the system then evolves until the fluctuating fields become strong enough to stabilize by ion trapping. (Author).
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 660
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: P. Satyanarayana Publisher: ISBN: Category : Languages : en Pages : 49
Book Description
A theory of the current-driven electrostatic ion cyclotron(EIC) instability in the collisional bottomside ionosphere is presented. It is found that the electron collisions are destabilizing and are crucial for the excitation of the EIC instability in the collisional bottomside ionosphere. Furthermore, the growth rates of the ion cyclotron instability in the bottomside ionosphere maximize for (K-perpendicular) (rho sub i)> or = 1 where 2 pi/K-perpendicular is the mode scale size perpendicular to the magnetic field and rho sub i the ion gyroradius. Realistic plasma density and temperature profiles typical of the high latitude ionosphere are used to compute the altitude dependence of the linear growth rate of the maximally growing modes and critical drift velocity of the EIC instability. The maximally growing modes corresponds to observed meter size irregularities and the threshold drift velocity required for the excitation of EIC instability is lower for heavier (NO+0+) ions than that for the lighter (H+) ions. Dupree's resonance broadening theory is used to estimate nonlinear saturated amplitudes for the ion cyclotron instability in the high latitude ionosphere. Comparison with experimental observations is also made. It is conjectured that the EIC instability in the bottomside ionosphere could be a source of transversely accelerated heavier ions and energetic heavy ion conic distributions at higher altitudes. Keywords: Currents; Ion-cyclotron instability; High altitude ionosphere; Collision; Nonlinear theory.
Author: P. Sprangle
Author: P. Sprangle
Author: 
Author: Martin Lampe
Author: 
Author: Davidson
Author: Naval Research Laboratory (U.S.)
Author: P. Satyanarayana
Author: Naval Research Laboratory (U.S.)
Author: 
Author: Naval Research Laboratory (U.S.)