P-11 · Dusty plasma as a Left-handed Medium

Martysh, Yevgen1)

1) Radio Physics Department, Taras Shevchenko Kyiv National University, Volodimirska
str.,60, Kyiv-33,01033, Ukraine

Abstract

In 1968, Veselago studied theoretically the electrodynamics properties of a medium having both negative dielectric permittivity ε(ω) and magnetic permeability µ(ω) simultaneously and concluded such media must have surprising propagation characteristics in comparison with the conventional ones. These media were called the “left-handed materials” (LHM). In particular, they posses the reversal effects of the Doppler shift and the Cherenkov radiation. Such a medium was manufactured in form of a long line of the three-dimensional array of intersecting thin straight wires. The propagating modes of this line have the dispersion relation analogous to the usual plasma. In this communication we report the results of our study of the dispersion properties of the dusty plasma with ferromagnetic grains in the strong magnetic field H0 when following inequality holds true dMH0/T0 >> 1 (dM is the magnetic dipole moment of a grain, T0 is the grain system temperature). We also suppose that H0 >> 4πNgdM (Ng is the grain density number) that allows us ignore the influence of the magnetic field created by the magnetised grains. This system has the additional typical frequency ω0 = (dMH0/J)1/2 associated with the small vibrations of the magnetic moments of grains around the direction of the magnetic field ( J is the inertia moment of a grain). The linearly polarised electromagnetic wave propagating along y-axis in our medium transversally to the constant magnetic field (z-axis). We have shown that this media have simultaneously negative ε and µ in the following range of frequencies: ω0 < ω < Ωe , Ωe = (4πNee2/me )1/2 is the electron plasma frequency. The left-hand side of this inequality depends on the magnetic parameters of grain and external constant magnetic field and its right hand side depends only on the electron density number. This allows us to make a statement that above-described system may be considered as a good candidate of the LHM with controlled parameters.

 

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