Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide
The problem of the propagation of coupled surface electromagnetic waves in a two-layer cylindrical circular waveguide filled with an inhomogeneous nonlinear medium is considered. A nonlinear coupled TE-TM wave is characterized by two (independent) frequencies ω e and ω m and two propagation constant...
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| Veröffentlicht in: | Computational mathematics and mathematical physics 2017-08, Vol.57 (8), p.1294-1309 |
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| container_title | Computational mathematics and mathematical physics |
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| creator | Valovik, D. V. Smol’kin, E. Yu |
| description | The problem of the propagation of coupled surface electromagnetic waves in a two-layer cylindrical circular waveguide filled with an inhomogeneous nonlinear medium is considered. A nonlinear coupled TE-TM wave is characterized by two (independent) frequencies ω
e
and ω
m
and two propagation constants
γ
^
e
and
γ
^
m
. The physical problem reduces to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations. The existence of eigenvalues (
γ
^
e
,
γ
^
m
) in proven and intervals of their localization are determined. |
| doi_str_mv | 10.1134/S0965542517080127 |
| format | Article |
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e
and ω
m
and two propagation constants
γ
^
e
and
γ
^
m
. The physical problem reduces to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations. The existence of eigenvalues (
γ
^
e
,
γ
^
m
) in proven and intervals of their localization are determined.</description><identifier>ISSN: 0965-5425</identifier><identifier>EISSN: 1555-6662</identifier><identifier>DOI: 10.1134/S0965542517080127</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Computational Mathematics and Numerical Analysis ; Cylindrical waves ; Differential equations ; Eigenvalues ; Electromagnetic radiation ; Mathematics ; Mathematics and Statistics ; Microwaves ; Nonlinear differential equations ; Nonlinear equations ; Ordinary differential equations ; Position (location) ; Propagation ; Scientific apparatus & instruments ; Wave propagation</subject><ispartof>Computational mathematics and mathematical physics, 2017-08, Vol.57 (8), p.1294-1309</ispartof><rights>Pleiades Publishing, Ltd. 2017</rights><rights>Computational Mathematics and Mathematical Physics is a copyright of Springer, 2017.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-a97817c5c74050cb138d38c40a948e9eed9fe710ea6905ab56bdd3b464be3f973</citedby><cites>FETCH-LOGICAL-c316t-a97817c5c74050cb138d38c40a948e9eed9fe710ea6905ab56bdd3b464be3f973</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/S0965542517080127$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0965542517080127$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Valovik, D. V.</creatorcontrib><creatorcontrib>Smol’kin, E. Yu</creatorcontrib><title>Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide</title><title>Computational mathematics and mathematical physics</title><addtitle>Comput. Math. and Math. Phys</addtitle><description>The problem of the propagation of coupled surface electromagnetic waves in a two-layer cylindrical circular waveguide filled with an inhomogeneous nonlinear medium is considered. A nonlinear coupled TE-TM wave is characterized by two (independent) frequencies ω
e
and ω
m
and two propagation constants
γ
^
e
and
γ
^
m
. The physical problem reduces to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations. The existence of eigenvalues (
γ
^
e
,
γ
^
m
) in proven and intervals of their localization are determined.</description><subject>Computational Mathematics and Numerical Analysis</subject><subject>Cylindrical waves</subject><subject>Differential equations</subject><subject>Eigenvalues</subject><subject>Electromagnetic radiation</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Microwaves</subject><subject>Nonlinear differential equations</subject><subject>Nonlinear equations</subject><subject>Ordinary differential equations</subject><subject>Position (location)</subject><subject>Propagation</subject><subject>Scientific apparatus & instruments</subject><subject>Wave propagation</subject><issn>0965-5425</issn><issn>1555-6662</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kE1LxDAQhoMouK7-AG8Bz9Wk-WqOsvgFix7Ui5eSptOSpdvUpFX235u6HgTxNIf3fZ5hBqFzSi4pZfzqmWgpBM8FVaQgNFcHaEGFEJmUMj9EiznO5vwYncS4IYRKXbAFenv0fed6MAEPwQ-mNaPzPfYNtn4aOqgxdGDH4Lem7WF0Fn-aD4jY9dhg64KduoTaXXLUwVnTfeft5Go4RUeN6SKc_cwler29eVndZ-unu4fV9TqzjMoxM1oVVFlhFSeC2IqyomaF5cRoXoAGqHUDihIwUhNhKiGrumYVl7wC1mjFluhi700HvE8Qx3Ljp9CnlSXVjAsmkzm16L5lg48xQFMOwW1N2JWUlPMLyz8vTEy-Z2Lq9i2EX-Z_oS8xn3P9</recordid><startdate>20170801</startdate><enddate>20170801</enddate><creator>Valovik, D. 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V. ; Smol’kin, E. Yu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-a97817c5c74050cb138d38c40a948e9eed9fe710ea6905ab56bdd3b464be3f973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Computational Mathematics and Numerical Analysis</topic><topic>Cylindrical waves</topic><topic>Differential equations</topic><topic>Eigenvalues</topic><topic>Electromagnetic radiation</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Microwaves</topic><topic>Nonlinear differential equations</topic><topic>Nonlinear equations</topic><topic>Ordinary differential equations</topic><topic>Position (location)</topic><topic>Propagation</topic><topic>Scientific apparatus & instruments</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Valovik, D. 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e
and ω
m
and two propagation constants
γ
^
e
and
γ
^
m
. The physical problem reduces to a nonlinear two-parameter eigenvalue problem for a system of nonlinear ordinary differential equations. The existence of eigenvalues (
γ
^
e
,
γ
^
m
) in proven and intervals of their localization are determined.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0965542517080127</doi><tpages>16</tpages></addata></record> |
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| ispartof | Computational mathematics and mathematical physics, 2017-08, Vol.57 (8), p.1294-1309 |
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| subjects | Computational Mathematics and Numerical Analysis Cylindrical waves Differential equations Eigenvalues Electromagnetic radiation Mathematics Mathematics and Statistics Microwaves Nonlinear differential equations Nonlinear equations Ordinary differential equations Position (location) Propagation Scientific apparatus & instruments Wave propagation |
| title | Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide |
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