63rd Annual Gaseous Electronics Conference and 7th International Conference on Reactive Plasmas
Volume 55, Number 7
Monday–Friday, October 4–8, 2010;
Paris, France
Session CTP: Poster Session I (11:00-12:30)
11:00 AM,
Tuesday, October 5, 2010
Room: 8 and 251
Abstract ID: BAPS.2010.GEC.CTP.54
Abstract: CTP.00054 : Characteristics of perpendicular linear wires in magnetoplasma
Preview Abstract
Abstract
Authors:
Andrey Yatsenko
(Karazin Kharkiv National University)
Nikolay Gorobets
(Karazin Kharkiv National University)
Let's consider plasma, which is in a strong magnetic field. In
this case the
permittivity of plasma is described by diagonal tensor
$\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown$}}\over
{\varepsilon }} $ with components $\varepsilon _{xx} =\varepsilon
_{yy}
=\varepsilon _1 $, $\varepsilon _{zz} =\varepsilon _3 $,
$\varepsilon _{ij}
=0$, if $i\ne j$, where $\varepsilon _1 =1-{\omega _N^2 }
\mathord{\left/
{\vphantom {{\omega _N^2 } {\left( {\omega ^2-\omega _B^2 }
\right)}}}
\right. \kern-\nulldelimiterspace} {\left( {\omega ^2-\omega _B^2 }
\right)}$; $\varepsilon _3 =1-{\omega _N^2 } \mathord{\left/
{\vphantom
{{\omega _N^2 } {\omega ^2}}} \right. \kern-\nulldelimiterspace}
{\omega ^2}$; $\omega _N$ is the Lengmur's frequency; $\omega _B$
is the
Larmor's frequency; $\omega $ is the working frequency. The
magnetic field
is directed along axis OZ (anisotropy axis). In such plasma two thin
mutually perpendicular wires of any length are located; the wires
are not
crossed. It is necessary to define the influence of anisotropy on
the
current distribution in each wire. This problem is solved by a
method of the
integral equations of electrodynamics. The system of the integral
equations
for currents is solved by a method of averaging. Is shown, that
the period
distribution of a current in each wire is determined by equivalent
permittivity $\varepsilon _{eq} \left( \gamma \right)=\delta
^2\cos ^2\gamma
+\delta \sqrt {\varepsilon _1 } \sin ^2\gamma $, where $\delta
^2=\varepsilon _3 \sin ^2\gamma +\varepsilon _1 \cos ^2\gamma $,
$\gamma $
is angle between an axis of the first wire and anisotropy axis.
Parameter
$\varepsilon _{eq} \left( \gamma \right)$ is various for each
wire, as it is
determined not only by permittivity of plasma, but also
orientation of in
plasma. Thus, the current distribution in wires is established
such, as
though they work in various mediums. The received result can be
used for
plasma diagnostics.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.GEC.CTP.54