Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part I
The dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency ω 1 = (ω p 2 + ω B 2 ) 1/2 (ω 1 ≤ ω < ω 1 + δ) are studied. In this frequency range, the eigenfrequency spectrum and the structure of the waveguide eigenfields are difficult to analy...
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Veröffentlicht in: | Plasma physics reports 2014-03, Vol.40 (3), p.221-228 |
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description | The dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency ω
1
= (ω
p
2
+ ω
B
2
)
1/2
(ω
1
≤ ω < ω
1
+ 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. |
doi_str_mv | 10.1134/S1063780X14030088 |
format | Article |
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1
= (ω
p
2
+ ω
B
2
)
1/2
(ω
1
≤ ω < ω
1
+ 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.</description><identifier>ISSN: 1063-780X</identifier><identifier>EISSN: 1562-6938</identifier><identifier>DOI: 10.1134/S1063780X14030088</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Atomic ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Plasma Oscillations and Waves</subject><ispartof>Plasma physics reports, 2014-03, Vol.40 (3), p.221-228</ispartof><rights>Pleiades Publishing, Ltd. 2014</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c288t-35472e2421c67c80abf07a0ceab9eebb36a9a2e407deff70248edaa1ef86db2d3</citedby><cites>FETCH-LOGICAL-c288t-35472e2421c67c80abf07a0ceab9eebb36a9a2e407deff70248edaa1ef86db2d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1063780X14030088$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1063780X14030088$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Shcherbinin, V. I.</creatorcontrib><creatorcontrib>Tkachenko, V. I.</creatorcontrib><creatorcontrib>Zaginailov, G. I.</creatorcontrib><creatorcontrib>Schuenemann, K.</creatorcontrib><title>Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part I</title><title>Plasma physics reports</title><addtitle>Plasma Phys. Rep</addtitle><description>The dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency ω
1
= (ω
p
2
+ ω
B
2
)
1/2
(ω
1
≤ ω < ω
1
+ 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.</description><subject>Atomic</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Plasma Oscillations and Waves</subject><issn>1063-780X</issn><issn>1562-6938</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kF9LwzAUxYMoOKcfwLd8gc4k7drsUea_wUBBBd_KbXKzZXRtTdJKv70p-ib4dM_l3N_hcgi55mzBeZrdvHKWp4VkHzxjKWNSnpAZX-YiyVepPI062snkn5ML7w-McS6XfEaGO-s7dN62De1cG2Ww6GlrKNAj7BoMLahgB6RdDf4IibF1jZp-wYC73mqktqFhj3SwyjY2jBM67X0Xs-h-rJzV1Dj87LFR44K-gAt0c0nODNQer37nnLw_3L-tn5Lt8-NmfbtNlJAyJOkyKwSKTHCVF0oyqAwrgCmEaoVYVWkOKxCYsUKjMQUTmUQNwNHIXFdCp3PCf3KVa713aMrO2SO4seSsnIor_xQXGfHD-Hjb7NCVh7Z3TXzzH-gby3hzYQ</recordid><startdate>20140301</startdate><enddate>20140301</enddate><creator>Shcherbinin, V. I.</creator><creator>Tkachenko, V. I.</creator><creator>Zaginailov, G. I.</creator><creator>Schuenemann, K.</creator><general>Pleiades Publishing</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20140301</creationdate><title>Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part I</title><author>Shcherbinin, V. I. ; Tkachenko, V. I. ; Zaginailov, G. I. ; Schuenemann, K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-35472e2421c67c80abf07a0ceab9eebb36a9a2e407deff70248edaa1ef86db2d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Atomic</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Plasma Oscillations and Waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shcherbinin, V. I.</creatorcontrib><creatorcontrib>Tkachenko, V. I.</creatorcontrib><creatorcontrib>Zaginailov, G. I.</creatorcontrib><creatorcontrib>Schuenemann, K.</creatorcontrib><collection>CrossRef</collection><jtitle>Plasma physics reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shcherbinin, V. I.</au><au>Tkachenko, V. I.</au><au>Zaginailov, G. I.</au><au>Schuenemann, K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part I</atitle><jtitle>Plasma physics reports</jtitle><stitle>Plasma Phys. Rep</stitle><date>2014-03-01</date><risdate>2014</risdate><volume>40</volume><issue>3</issue><spage>221</spage><epage>228</epage><pages>221-228</pages><issn>1063-780X</issn><eissn>1562-6938</eissn><abstract>The dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency ω
1
= (ω
p
2
+ ω
B
2
)
1/2
(ω
1
≤ ω < ω
1
+ 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.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1063780X14030088</doi><tpages>8</tpages></addata></record> |
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language | eng |
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subjects | Atomic Molecular Optical and Plasma Physics Physics Physics and Astronomy Plasma Oscillations and Waves |
title | Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part I |
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