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Orthogonality properties of modes in a compressible partially ionized plasma

Orthogonality properties of modes in a compressible partially ionized plasma SummaryLinearized hydrodynamic equations together with Maxwell’s equations are used to describe a compressible partially ionized plasma interacting with a weak electromagnetic field. Using this fluid description of a plasma, orthogonality properties of modes are investigated for a compressible, partially ionized plasma. This plasma is confined in a uniform cylindrical structure of arbitrary cross-section, in the presence or absence of a static magnetic field along the axial direction.The modes in the plasma are found to be orthogonal provided they satisfy the following conditions:a) the electromagnetic field must satisfy the usual known impedance boundary conditions, andb) the pressure is proportional t o the normal component of the velocity of the fluid elements (i.e., plasma elements) at the boundary in a particular way which may be termed the “hydrodynamic impedance boundary condition”. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Scientific Research, Section B Springer Journals

Orthogonality properties of modes in a compressible partially ionized plasma

Samaddar, S. N.
Applied Scientific Research, Section B , Volume 11 (1-2) – Feb 1, 1964
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References (4)

Publisher
Springer Journals
Copyright
Copyright © Martinus Nijhoff 1964
ISSN
0365-7140
DOI
10.1007/bf02922215
Publisher site
See Article on Publisher Site

Abstract

SummaryLinearized hydrodynamic equations together with Maxwell’s equations are used to describe a compressible partially ionized plasma interacting with a weak electromagnetic field. Using this fluid description of a plasma, orthogonality properties of modes are investigated for a compressible, partially ionized plasma. This plasma is confined in a uniform cylindrical structure of arbitrary cross-section, in the presence or absence of a static magnetic field along the axial direction.The modes in the plasma are found to be orthogonal provided they satisfy the following conditions:a) the electromagnetic field must satisfy the usual known impedance boundary conditions, andb) the pressure is proportional t o the normal component of the velocity of the fluid elements (i.e., plasma elements) at the boundary in a particular way which may be termed the “hydrodynamic impedance boundary condition”.

Journal

Applied Scientific Research, Section B – Springer Journals

Published: Feb 1, 1964

Keywords: Static Magnetic Field; Neutral Particle; Orthogonality Condition; Hydrodynamic Equation; Reciprocity Relation

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