DIFFRACTION BY A CONDUCTING HALF-PLANE IN PLASM

1966 ◽  
Vol 44 (6) ◽  
pp. 1207-1212
Author(s):  
Ll. G. Chambers
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Wave ◽  
Half Plane ◽  
Field Component ◽  
Plane Electromagnetic Wave ◽  
Static Field ◽  
Anisotropic Plasma ◽  
Magnetic Field Component ◽  
Permittivity Tensor ◽  
Arbitrary Direction

The problem considered is that of a plane electromagnetic wave approaching from an arbitrary direction a perfectly conducting half-plane in an anisotropic plasma, characterized by a permittivity tensor. The system is such that the wave has a single magnetic field component, which is parallel both to the magneto-static field and the diffracting edge. The work is a simplification of previous work by Jull, involving the use of methods previously developed by the author.

DIFFRACTION BY A CONDUCTING HALF-PLANE IN AN ANISOTROPIC PLASMA

1964 ◽  
Vol 42 (8) ◽  
pp. 1455-1468 ◽  
Author(s):  
E. V. Jull
Keyword(s):  
Magnetic Field ◽  
Half Plane ◽  
Scattered Field ◽  
Plane Electromagnetic Wave ◽  
Plane Waves ◽  
Angular Spectrum ◽  
Anisotropic Plasma ◽  
Angle Of Incidence ◽  
Dual Integral Equations ◽  
Magnetostatic Field

The diffraction of a plane electromagnetic wave by a perfectly conducting half-plane in an anisotropic plasma is considered. The plasma is characterized by a permittivity tensor and the wave is assumed to propagate in a direction normal to the magnetostatic field and the diffracting edge, but its angle of incidence is otherwise arbitrary. Only the H-polarized wave of the incident field, which has a single magnetic field component parallel to the edge, is affected by the anisotropy and the analysis is restricted accordingly. Representing the scattered field as an angular spectrum of plane waves leads to dual integral equations from which an expression for the scattered field is obtained. The total field is then reduced to Fresnel integrals and its far-field behavior is investigated. Agreement with Seshadri and Rajagopal's result for a wave normally incident on the conductor, which was obtained by using the Wiener–Hopf technique, is found. The differences between isotropic and anisotropic solutions to this problem, which arise from the differing boundary conditions on the tangential magnetic field, are examined.

Effects of the axial magnetic field component on the electron trajectory in the wiggler section

1998 ◽  
Vol 34 (5) ◽  
pp. 3467-3470
Author(s):  
A.C.C. Migliano ◽  
A.C.J. Paes ◽  
Y.C. De Polli ◽  
C.R.S. Stopa ◽  
J.R. Cardoso
Keyword(s):  
Magnetic Field ◽  
Field Component ◽  
Axial Magnetic Field ◽  
Magnetic Field Component ◽  
Electron Trajectory

Diffraction by a perfectly conducting wedge in an anisotropic plasma

1965 ◽  
Vol 61 (3) ◽  
pp. 767-776 ◽  
Author(s):  
T. R. Faulkner
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Wave ◽  
Difference Equation ◽  
Integral Representation ◽  
Surface Waves ◽  
Uniform Magnetic Field ◽  
Anisotropic Plasma ◽  
Contour Integral ◽  
Anisotropic Dielectric

SummaryThe problem considered is the diffraction of an electromagnetic wave by a perfectly conducting wedge embedded in a plasma on which a uniform magnetic field is impressed. The plasma is assumed to behave as an anisotropic dielectric and the problem is reduced, by employing a contour integral representation for the solution, to solving a difference equation. Surface waves are found to be excited on the wedge and expressions are given for their amplitudes.

scholarly journals MHD aspect of current sheet oscillations related to magnetic field gradients

2009 ◽  
Vol 27 (1) ◽  
pp. 417-425 ◽  
Author(s):  
N. V. Erkaev ◽  
V. S. Semenov ◽  
I. V. Kubyshkin ◽  
M. V. Kubyshkina ◽  
H. K. Biernat
Keyword(s):  
Magnetic Field ◽  
Current Sheet ◽  
Field Component ◽  
Short Wave ◽  
Magnetic Field Component ◽  
Wave Number ◽  
Dispersion Function ◽  
Small Scale ◽  
Magnetic Field Gradients ◽  
Normal Magnetic Field

Abstract. One-fluid ideal MHD model is applied for description of current sheet flapping disturbances appearing due to a gradient of the normal magnetic field component. The wave modes are studied which are associated to the flapping waves observed in the Earth's magnetotail current sheet. In a linear approximation, solutions are obtained for model profiles of the electric current and plasma densities across the current sheet, which are described by hyperbolic functions. The flapping eigenfrequency is found as a function of wave number. For the Earth's magnetotail conditions, the estimated wave group speed is of the order of a few tens kilometers per second. The current sheet can be stable or unstable in dependence on the direction of the gradient of the normal magnetic field component. The obtained dispersion function is used for calculation of the flapping wave disturbances, which are produced by the given initial Gaussian perturbation at the center of the current sheet and propagating towards the flanks. The propagating flapping pulse has a smooth leading front, and a small scale oscillating trailing front, because the short wave oscillations propagate much slower than the long wave ones.

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