Linear description of nonlinear electromagnetic cold plasma modes based on generalized vorticity

Verheest, Frank
August 2009
Physics of Plasmas;Aug2009, Vol. 16 Issue 8, p082104
Academic Journal
Based on a multispecies plasma description in terms of canonical vorticities, the search for exact harmonic wave profiles at arbitrary amplitudes, and the possible linear superposition of such nonlinear waves, has been discussed in terms of linearizing principles and their validity. Assuming first that the fluid velocities and wave canonical vorticities are parallel, with constant factors of proportionality, leads to incompressible plasmas that always remain charge neutral and to transverse, nondispersive waves with circular polarization. Contrary to claims in the literature, there are only as many wavenumber solutions as plasma species and these cannot serve as a basis for all solutions of the linearized equations describing the chosen plasma model. By simply dropping the nonlinear term in the species vorticity equations, dispersive waves obtain, for unidirectional propagation in incompressible plasmas. There being no wavenumber restrictions, these waves can serve as a full basis to express other solutions in. For pair plasmas the polarization is linear.


Related Articles

  • Nonlinear wave processes in a plasma with stationary random irregularities. Part II. Lapin, V. G.; Fainshtein, S. M. // Radiophysics & Quantum Electronics;Jan2007, Vol. 50 Issue 1, p49 

    We analyze the influence of large-scale random irregularities of a medium on nonlinear wave interactions. First, we study three-wave interactions in an equilibrium medium, and then we consider the problems of stabilizing the explosive instability in the presence of random irregularities.

  • A Non-Linear Wave Model with Variable Molar Flows for Dynamic Behaviour and Disturbance Propagation in Distillation Columns. Hankins, N. P. // Chemical Engineering Research & Design: Transactions of the Inst;Jan2007, Vol. 85 Issue 1, p65 

    A non-linear wave model for a distillation column has been extended and then examined by including enthalpy and hold-up effects, significant for wide boilers and leading to variable molar flows, and reflux and reboil. Application of the coherence condition to the system mass and energy balance...

  • Internal solitons in laboratory experiments: Comparison with theoretical models. Ostrovsky, L. A.; Stepanyants, Y. A. // Chaos;Sep2005, Vol. 15 Issue 3, p037111 

    Nonlinear internal solitary waves observed in laboratory experiments are discussed from the standpoint of their relation to different soliton theories, from the classical integrable models such as the Korteweg–de Vries, Gardner, Benjamin–Ono, and...

  • Nonlinear three-wave interaction in photonic crystals. Tkeshelashvili, L.; Busch, K. // Applied Physics B: Lasers & Optics;Jul2005 Part 2, Vol. 81 Issue 2/3, p225 

    We present a multi-scale analysis of nonlinear three-wave-interaction processes in photonic crystals. Based on photonic Bloch functions as carrier waves, we derive the effective nonlinear coupled wave equations that govern pulse propagation in these systems and obtain the corresponding effective...

  • Generation of Nonlinear Waves on a Viscoelastic Coating in a Turbulent Boundary Layer. Reutov, V. P.; Rybushkina, G. V. // Journal of Applied Mechanics & Technical Physics;Nov2000, Vol. 41 Issue 6, p1003 

    Self–induced excitation of periodic nonlinear waves on a viscoelastic coating interacting with a turbulent boundary layer of an incompressible flow is studied. The response of the flow to multiwave excitation of the coating surface is determined in the approximation of small slopes. A...

  • Nonlinear periodic waves in a gas. Aksenov, A. // Fluid Dynamics;Sep2012, Vol. 47 Issue 5, p636 

    A system of equations describing the one-dimensional time-dependent polytropic motion of a gas is considered. In special cases the general solutions of this system of equations are obtained and exact solutions with the initial conditions which are periodic with respect to the spatial variable...

  • Cnoidal, Dnoidal and Snoidal Spatial Waves in a Nonlinear Reflection Grating. Alatas, Husin; Saputra, Andrial // AIP Conference Proceedings;12/27/2010, Vol. 1325 Issue 1, p186 

    We report the existence of the cnoidal, dnoidal and snoidal waves in a nonlinear reflection grating with nonlinear modulation by means of direct substitution method. The characteristics of these nonlinear waves are briefly discussed. From the corresponding reality conditions, we found that the...

  • Effect of the Doppler broadening on the nonlinear amplification of a polarized wave that propagates in a resonant medium without population inversion. Adonts, G.; Kanetsyan, E.; Arzakantsyan, M. // Optics & Spectroscopy;Dec2012, Vol. 113 Issue 6, p621 

    The general nonlinear stationary theory of propagation of an elliptically polarized pulse that resonantly interacts with the 1/2-1/2 transition is developed taking into account relaxation processes. It is shown that interference of magnetic sublevels in the field of polarized radiation that...

  • Nonlinear longitudinal waves in the presence of the interaction between the strain and temperature fields and the field of nonequilibrium atomic defects. Mirzade, F. Kh.; Shelepin, L. A. // Acoustical Physics;Nov2007, Vol. 53 Issue 6, p676 

    The propagation of nonlinear longitudinal waves in a plate is studied by taking into account the interaction of the longitudinal displacement component with the temperature field and the field of concentration of nonequilibrium atomic point defects. A nonlinear evolution equation is derived for...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics