The Plane-Wave Resolution of Guided Waves
Wave propagation in cylindrical guides of both rectangular and circular cross section is treated by representing the proper solutions to Maxwell's equation through a plane-wave expansion of the Hertzian vector. In the case of a rectangular wave guide only a finite number of plane waves (two or...
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| Veröffentlicht in: | Proceedings of the IRE 1945-11, Vol.33 (11), p.805-808 |
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| container_end_page | 808 |
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| container_issue | 11 |
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| container_title | Proceedings of the IRE |
| container_volume | 33 |
| creator | Mackeown, S.S. Miles, J.W. |
| description | Wave propagation in cylindrical guides of both rectangular and circular cross section is treated by representing the proper solutions to Maxwell's equation through a plane-wave expansion of the Hertzian vector. In the case of a rectangular wave guide only a finite number of plane waves (two or four) is required to represent a given mode, while for the circular guide an infinite manifold is required. The plane waves are uniform, traveling with the velocity of light in the medium at an angle to the cylindrical axis which is determined by the frequency and the eigenvalue of the mode under consideration. |
| doi_str_mv | 10.1109/JRPROC.1945.231900 |
| format | Article |
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The plane waves are uniform, traveling with the velocity of light in the medium at an angle to the cylindrical axis which is determined by the frequency and the eigenvalue of the mode under consideration.</description><subject>Cathodes</subject><subject>Frequency measurement</subject><subject>Length measurement</subject><subject>Maxwell equations</subject><subject>Partial differential equations</subject><subject>Permeability measurement</subject><subject>Surface discharges</subject><subject>Surface treatment</subject><subject>Surface waves</subject><issn>0096-8390</issn><issn>2162-6634</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1945</creationdate><recordtype>article</recordtype><recordid>eNpFz0FLxDAQhuEgCtbVP6CXXj20TibtpDlK0VVZ2KUUPIa0mWKlbqXZFfz3Wip4msPwfvAIcS0hlRLM3Uu1q7ZlKk2Wp6ikATgREUrChEhlpyICMJQUysC5uAjhHUDJXBWRuK3fON4Nbs_Jq_viuOIwDsdDP-7jsYvXx96zj-dPuBRnnRsCX_3dlagfH-ryKdls18_l_SZpkfCQkAbOmJVvfEPQEpLLc9SgITOyVa6hotWGNaLrCkSVM3s0vqVOGelYrQQus-00hjBxZz-n_sNN31aCna12sdrZahfrb3SzRD0z_wdkSKtc_QA0NE8z</recordid><startdate>194511</startdate><enddate>194511</enddate><creator>Mackeown, S.S.</creator><creator>Miles, J.W.</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>194511</creationdate><title>The Plane-Wave Resolution of Guided Waves</title><author>Mackeown, S.S. ; Miles, J.W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c262t-670e4ee3dbdb60c626a5527070491c3ab68c79e722af82235eed29dc6f391ae3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1945</creationdate><topic>Cathodes</topic><topic>Frequency measurement</topic><topic>Length measurement</topic><topic>Maxwell equations</topic><topic>Partial differential equations</topic><topic>Permeability measurement</topic><topic>Surface discharges</topic><topic>Surface treatment</topic><topic>Surface waves</topic><toplevel>online_resources</toplevel><creatorcontrib>Mackeown, S.S.</creatorcontrib><creatorcontrib>Miles, J.W.</creatorcontrib><collection>CrossRef</collection><jtitle>Proceedings of the IRE</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Mackeown, S.S.</au><au>Miles, J.W.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Plane-Wave Resolution of Guided Waves</atitle><jtitle>Proceedings of the IRE</jtitle><stitle>PROC</stitle><date>1945-11</date><risdate>1945</risdate><volume>33</volume><issue>11</issue><spage>805</spage><epage>808</epage><pages>805-808</pages><issn>0096-8390</issn><eissn>2162-6634</eissn><abstract>Wave propagation in cylindrical guides of both rectangular and circular cross section is treated by representing the proper solutions to Maxwell's equation through a plane-wave expansion of the Hertzian vector. In the case of a rectangular wave guide only a finite number of plane waves (two or four) is required to represent a given mode, while for the circular guide an infinite manifold is required. The plane waves are uniform, traveling with the velocity of light in the medium at an angle to the cylindrical axis which is determined by the frequency and the eigenvalue of the mode under consideration.</abstract><pub>IEEE</pub><doi>10.1109/JRPROC.1945.231900</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Proceedings of the IRE, 1945-11, Vol.33 (11), p.805-808 |
| issn | 0096-8390 2162-6634 |
| language | eng |
| recordid | cdi_crossref_primary_10_1109_JRPROC_1945_231900 |
| source | IEEE Electronic Library (IEL) |
| subjects | Cathodes Frequency measurement Length measurement Maxwell equations Partial differential equations Permeability measurement Surface discharges Surface treatment Surface waves |
| title | The Plane-Wave Resolution of Guided Waves |
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