GENERAL DISPERSION RELATIONS FOR A PARTIALLY IONIZED GAS
Abstract
Beginning with Boltzmann's equation and the equation of momentum transfer for a partially ionized gas, seven basic equations are derived for small-amplitude perturbations. These are used to obtain a determinant whose eigenvalues identify five modes of propagation in the most general case. A steady magnetic field and an arbitrary direction of propagation with respect to this field is supposed, and the complications introduced by this general approach are examined by a brief study of simpler cases. It is shown that only by means of a high-speed electronic computer may attenuation factors and phase and group velocities be accurately deter mined. This paper surveys work done by other investigators, includes the approach taken by a research group at the Electrical Engineering Research Laboratory which has access to the Control Data Corporation 1604 Computer, and is only to be considered preliminary to later presentation of computer results.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 28, 1963
- Accession Number
- AD0403127
Entities
People
- C. E. Prince Jr.
- F. X. Bostick Jr.
Organizations
- University of Texas at Austin