Scattering of plane electromagnetic waves off cylindrically confined cold plasmas with overdense and steep densities

Journal Article · Thu May 01 04:00:00 EDT 1980 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524518· OSTI ID:5456001

Kriegsmann, G A

In this paper we study the scattering of plane electromagnetic waves off a cylindrically confined cold plasma. The plasma density is taken to be overdense and very steep. This causes the cutoff radius, r/sub 0/, to be within a fraction of a wavelength from the cylindrical boundary. For simplicity, we assume two types of incident polarization. In both cases scalar second-order elliptic partial differential equations describe the fields. These problems are studied in the asymptotic limit a..omega../c..-->..infinity with 0<1-r/sub 0/=O (c/a..omega..). Here a is the radius of the cylinder, ..omega.. is the frequency of the incident radiation, and c is the velocity of light in free space. We develop an asymptotic technique which reduces the partial equations to ordinary differential equations within the plasma. Our method is a blend of geometrical optics and boundary layer techniques. Outside the plasma we use straight geometrical optics to describe the scattered field.

• Research Organization: Department of Mathematics and Statistics, University of Nebraska at Lincoln, Lincoln, Nebraska 68588
• OSTI ID: 5456001
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 21:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
BOUNDARY LAYERS
COLD PLASMA
CONFIGURATION
CROSS SECTIONS
CYLINDRICAL CONFIGURATION
ELECTRIC FIELDS
ELECTROMAGNETIC RADIATION
LAYERS
PLASMA
PLASMA DENSITY
POLARIZATION
RADIATIONS