Abstract
The evolution of the polarization of an electromagnetic wave in an inhomogeneous plasma with a magnetic field is of interest for various subjects such as electron cyclotron emission, polarimetric diagnostics, scattering of millimetric waves, heating and current drive at the electron cyclotron frequency. In order to obtain the change of polarization during propagation, two methods have been used. One involves the integration of a set of coupled differential equations for the electromagnetic field amplitudes. The other uses a set of coupled differential equations for the components of the Stokes vector describing the polarization. In general, both methods require numerical integration. The first method provides some additional information; the second is simpler, but gives only polarization. Using the second method, this paper shows that, for a plasma with a constant density, in a uniformly sheared magnetic field of constant magnitude, an analytic solution is found. Such a solution was obtained previously by Heald for the special case where the magnetic field is perpendicular to the direction of propagation. In this paper, the method is extended to the general case where the field has a component in the direction of propagation. The general solution for a uniformly sheared medium derived here gives
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Citation Formats
Segre, S E.
Evolution of polarization of electromagnetic waves in a plasma with uniformly sheared magnetic field.
Italy: N. p.,
1990.
Web.
Segre, S E.
Evolution of polarization of electromagnetic waves in a plasma with uniformly sheared magnetic field.
Italy.
Segre, S E.
1990.
"Evolution of polarization of electromagnetic waves in a plasma with uniformly sheared magnetic field."
Italy.
@misc{etde_10120957,
title = {Evolution of polarization of electromagnetic waves in a plasma with uniformly sheared magnetic field}
author = {Segre, S E}
abstractNote = {The evolution of the polarization of an electromagnetic wave in an inhomogeneous plasma with a magnetic field is of interest for various subjects such as electron cyclotron emission, polarimetric diagnostics, scattering of millimetric waves, heating and current drive at the electron cyclotron frequency. In order to obtain the change of polarization during propagation, two methods have been used. One involves the integration of a set of coupled differential equations for the electromagnetic field amplitudes. The other uses a set of coupled differential equations for the components of the Stokes vector describing the polarization. In general, both methods require numerical integration. The first method provides some additional information; the second is simpler, but gives only polarization. Using the second method, this paper shows that, for a plasma with a constant density, in a uniformly sheared magnetic field of constant magnitude, an analytic solution is found. Such a solution was obtained previously by Heald for the special case where the magnetic field is perpendicular to the direction of propagation. In this paper, the method is extended to the general case where the field has a component in the direction of propagation. The general solution for a uniformly sheared medium derived here gives insight into the problem of characteristic waves in an inhomogeneous medium.}
place = {Italy}
year = {1990}
month = {Dec}
}
title = {Evolution of polarization of electromagnetic waves in a plasma with uniformly sheared magnetic field}
author = {Segre, S E}
abstractNote = {The evolution of the polarization of an electromagnetic wave in an inhomogeneous plasma with a magnetic field is of interest for various subjects such as electron cyclotron emission, polarimetric diagnostics, scattering of millimetric waves, heating and current drive at the electron cyclotron frequency. In order to obtain the change of polarization during propagation, two methods have been used. One involves the integration of a set of coupled differential equations for the electromagnetic field amplitudes. The other uses a set of coupled differential equations for the components of the Stokes vector describing the polarization. In general, both methods require numerical integration. The first method provides some additional information; the second is simpler, but gives only polarization. Using the second method, this paper shows that, for a plasma with a constant density, in a uniformly sheared magnetic field of constant magnitude, an analytic solution is found. Such a solution was obtained previously by Heald for the special case where the magnetic field is perpendicular to the direction of propagation. In this paper, the method is extended to the general case where the field has a component in the direction of propagation. The general solution for a uniformly sheared medium derived here gives insight into the problem of characteristic waves in an inhomogeneous medium.}
place = {Italy}
year = {1990}
month = {Dec}
}