Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part I

Publikationstyp
Journal Article
Publikationsdatum
2014-03
Sprache
English
Author
Shcherbinin, Vitalii I. 
Tkachenko, V. I. 
Zaginailov, G. I. 
Schünemann, Klaus 
Institut
Hochfrequenztechnik E-3 
TORE-URI
http://hdl.handle.net/11420/8309
Enthalten in
Plasma physics reports 
Volume
40
Issue
3
Start Page
221
End Page
228
Citation
Plasma Physics Reports 3 (40): 221-228 (2014)
Publisher DOI
10.1134/S1063780X14030088
Scopus ID
2-s2.0-84897071549
The dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency ω1 = (ωp2 + ωB2)1/2 (ω1 ≤ ω < ω1 + δ) are studied. In this frequency range, the eigenfrequency spectrum and the structure of the waveguide eigenfields are difficult to analyze, because one of the transverse wavenumbers tends to infinity as the upper hybrid frequency is approached. It is shown that this problem can be solved by transforming the dispersion relation into a form independent of this transverse wavenumber. It is also found that the upper hybrid frequency itself can also be a solution to the dispersion relation. The influence of the properties of the magnetoactive plasma-filled waveguide on such solutions is studied. The structure of the fields for modes with frequencies equal to the upper hybrid frequency and an infinitely large absolute value of one of the transverse wavenumbers is analyzed.