Collective Oscillations in a Magnetized Plasma Subjected to a Radiation Field
Authors: Daniel Santos, Bruno Ribeiro, Marco Amato, Antonio Fonseca
Abstract:
In this paper we discuss the behaviour of the longitudinal modes of a magnetized non collisional plasma subjected to an external electromagnetic field. We apply a semiclassical formalism, with the electrons being studied in a quantum mechanical viewpoint whereas the electromagnetic field in the classical context. We calculate the dielectric function in order to obtains the modes and found that, unlike the Bernstein modes, the presence of radiation induces oscillations around the cyclotron harmonics, which are smoothed as the energy stored in the radiation field becomes small compared to the thermal energy of the electrons. We analyze the influence of the number of photon involved in the electronic transitions between the Landau levels and how the parameters such as the external fields strength, plasma density and temperature affect the dispersion relation
Keywords: Collective oscillations, External fields, Dispersion relation.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1330427
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1348References:
[1] E. G. Harris Classical plasma phenomena from a quantum mechanical viewpoint, Advances in plasma physcis, 3, 157-241, 1969.
[2] M. A. Amato and L. C. M. Miranda Plasma wave instabillity in the field of an intense eletromagnetic wave, Phys. of Fluids, 10, 1031-32, 1977.
[3] I. B. Bernstein Waves in a plasma in a magnetic field, Phys. Rev., 109, 10-21, 1958.
[4] S. Gruber and F. Bekefi Excitation of longitudinal waves near electroncyclotron harmonics, Phys.of Fluids, 11, 122-33, 1968.
[5] B. V. Ribeiro and D. D. A. Santos and M. A. Amato and A. L. A. Fonseca Collective modes in free plasmas subjected to a radiation field work presented at ICPP-LAWPP 2010 in Santiago, Chile.
[6] L. D. Landau and E. Lifshitz Quantum Mechanics, Non-Relativistic Theory, Oxford, England: Pergamon Press, 1977.
[7] R. M. O. Galv˜ao and R. C. M Miranda Quantum theory of an electron in external fields using unitary transformations, Am. J. Phys, 51, 729-33, 1982.
[8] J. Kremp and M. Schlanges and W.-D. Kraeft Quantum Statistics of Nonideal Plasmas Netherlands: Springer, 2005.
[9] G. M. Walters and E. G. Harris Quantum-mechanical theory of nonlinear plasma phenomena in a strong magnetic field, Phys. of Fluids, 11, 112-22, 1968.
[10] G. N. Watson A Treatise on the Theory of Bessel Functions 2rd ed. Cambridge University Press, 1944.
[11] W. H. Press and S. A. Teukolsky and W. T. Vetterling and B. F. Flannery Numerical Recipes in C: The Art of Scientific Computing 2rd ed. Cambridge University Press, 1992.