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Cutoff frequencies of intermediate frequency waves in a bounded magnetoplasma

 

作者: J. Basu,   S. K. Das,  

 

期刊: Journal of Applied Physics  (AIP Available online 1980)
卷期: Volume 51, issue 12  

页码: 6134-6140

 

ISSN:0021-8979

 

年代: 1980

 

DOI:10.1063/1.327645

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The paper presents a study of the cutoff frequencies of a class of electromagnetic waves, designated here as intermediate frequency waves, which can propagate in a plasma column enclosed in a conducting cylinder and embedded in a static axial magnetic field. These waves reduce to lower hybrid waves or magnetohydrodynamic TE waves under suitable conditions. The cutoff frequencies of the intermediate frequency modes have been investigated, covering all possible values of &ohgr;pe,&ohgr;ce, anda, where &ohgr;peis the plasma frequency, &ohgr;ceis the electron cyclotron frequency, andais the plasma radius. The study includes all the possible types of modes, namely, circularly symmetricI0mmodes and asymmetricInmmodes withn? 1, eachInmmode being split into two, calledI+nmandI−nmmodes, corresponding to two different polarizations of the field components. The cutoff frequency &ohgr;c 0of anyInmmode withn? 0 is found to be confined to the frequency domain 0 to &ohgr;nm, where &ohgr;nmis the cutoff frequency of the TEnmmode in an empty waveguide. The zero frequency is approached if &ohgr;peoratends to infinity or &ohgr;cetends to zero, the other parameters remaining constant in each case. The frequency &ohgr;c 0tends to &ohgr;nmif &ohgr;ceis sufficiently large for any given set of &ohgr;peanda. The study of intermediate frequency modes reveals that these modes can broadly be divided into the following two categories: (1)I−n1modes withn? 1, and (2) modes other thanI−n1modes. The nature of variation of &ohgr;coith &ohgr;pefor fixed values of &ohgr;ceandaforI−n1modes is, in general, quite different from that for the other modes. Furthermore, &ohgr;c 0tends to &ohgr;ciasatends to zero with &ohgr;peand &ohgr;ceheld fixed in the case ofI−n1modes, while for other modes &ohgr;c 0tends to &ohgr;lhunder the same condition, where &ohgr;ciis the ion cyclotron frequency and &ohgr;lhis the lower hybrid frequency. AnyInmmode withn? 0 is found to reduce to the magnetohydrodynamic TEnmmode at or near the cutoff under the condition: &ohgr;pi≫&ohgr;nm, where &ohgr;piis the ion plasma frequency. Finally, it is shown how the charge density in a bounded magnetoplasma can easily be determined in most experimental situations by using the cutoff frequency characteristic of the dominantI−11mode.

 

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