MODE THEORY OF THE ACTIVE MAGNETOHYDRODYNAMIC WAVEGUIDE,
Abstract
The magnetohydrodynamic waveguide consists of a fluid column enclosed in an ordinary waveguide. The interaction between the waveguide modes and coupling circuits is studied. Stress is placed on use of the conservation theorem in developing a linear theory. The theorem is used to prove: (1) a uniqueness theorem, (2) the stability of the modes, (3) an arthogonality condition, and (4) a varitional principle. When the fields of the waveguide modes are considered, it is shown that two types of modes can exist in the waveguide. Both types of modes are studied in detail. The theory is then applied to the special case of circular geometry. The dispersion equation is derived and its solutions are discussed in a variety of cases. The general behavior of the fields is also discussed. The impedance of a coil in the waveguide is calculated; coupling between a waveguide mode and an artificial transmission line is evaluated. Results of these calculations are compared with those obtained from the simpler theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 02, 1963
- Accession Number
- AD0423408
Entities
People
- J. D. Cogwell
Organizations
- Massachusetts Institute of Technology