Generation of electromagnetic radiation from a rotating electron ring in a rippled magnetic field
Calculations show that modes resembling the free‐electron laser (FEL) instability are excited when electrons move in quasicircular orbits under the combined action of a uniform axial magnetic field and an azimuthally periodic wiggler magnetic field. In the model, a thin annular ring of rotating elec...
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| Veröffentlicht in: | Phys. Fluids; (United States) 1985-04, Vol.28 (4), p.1186-1192 |
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| container_title | Phys. Fluids; (United States) |
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| creator | Yin, Y. Z. Bekefi, G. |
| description | Calculations show that modes resembling the free‐electron laser (FEL) instability are excited when electrons move in quasicircular orbits under the combined action of a uniform axial magnetic field and an azimuthally periodic wiggler magnetic field. In the model, a thin annular ring of rotating electrons is confined in a hollow cylindrical waveguide, or between concentric cylinders comprising a coaxial waveguide, and the dispersion equations for the transverse magnetic (TM
l
m
) modes are derived and analyzed. Coherent radiation occurs near frequencies ω corresponding to the crossing points of the electromagnetic modes ω=ω
c
(l,m) and the beam modes ω=(l+N)Ω∥, where ω
c
and Ω∥ are the waveguide cutoff frequency and the electron cyclotron frequency, respectively, and N is the number of wiggler periods. |
| doi_str_mv | 10.1063/1.864993 |
| format | Article |
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l
m
) modes are derived and analyzed. Coherent radiation occurs near frequencies ω corresponding to the crossing points of the electromagnetic modes ω=ω
c
(l,m) and the beam modes ω=(l+N)Ω∥, where ω
c
and Ω∥ are the waveguide cutoff frequency and the electron cyclotron frequency, respectively, and N is the number of wiggler periods.</description><identifier>ISSN: 0031-9171</identifier><identifier>EISSN: 2163-4998</identifier><identifier>DOI: 10.1063/1.864993</identifier><identifier>CODEN: PFLDAS</identifier><language>eng</language><publisher>Woodbury, NY: American Institute of Physics</publisher><subject>420300 - Engineering- Lasers- (-1989) ; ANALYTICAL SOLUTION ; ANNULAR SPACE ; Applied sciences ; BEAM DYNAMICS ; COHERENT RADIATION ; COMPUTERS ; CONFIGURATION ; CYCLOTRON FREQUENCY ; CYLINDERS ; DISPERSION RELATIONS ; ELECTRICAL EQUIPMENT ; ELECTROMAGNETIC RADIATION ; Electromagnetism; electron and ion optics ; ELECTROMAGNETS ; ELECTRON RINGS ; ENERGY RANGE ; ENGINEERING ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; INSTABILITY ; MAGNETIC FIELDS ; MAGNETS ; MICROWAVE RADIATION ; MOTION ; Other techniques and industries ; Physics ; Radiation by moving charges ; RADIATIONS ; RELATIVISTIC RANGE ; ROTATION ; SPACE ; WAVEGUIDES ; WIGGLER MAGNETS</subject><ispartof>Phys. Fluids; (United States), 1985-04, Vol.28 (4), p.1186-1192</ispartof><rights>American Institute of Physics</rights><rights>1986 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c477t-9de9512e72f6d9000052e64578c6055c7310970081ffe790d6c07853b2d9b9f13</citedby><cites>FETCH-LOGICAL-c477t-9de9512e72f6d9000052e64578c6055c7310970081ffe790d6c07853b2d9b9f13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,881,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8534411$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8836983$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/6007499$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Yin, Y. Z.</creatorcontrib><creatorcontrib>Bekefi, G.</creatorcontrib><creatorcontrib>Department of Physics and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139</creatorcontrib><title>Generation of electromagnetic radiation from a rotating electron ring in a rippled magnetic field</title><title>Phys. Fluids; (United States)</title><description>Calculations show that modes resembling the free‐electron laser (FEL) instability are excited when electrons move in quasicircular orbits under the combined action of a uniform axial magnetic field and an azimuthally periodic wiggler magnetic field. In the model, a thin annular ring of rotating electrons is confined in a hollow cylindrical waveguide, or between concentric cylinders comprising a coaxial waveguide, and the dispersion equations for the transverse magnetic (TM
l
m
) modes are derived and analyzed. Coherent radiation occurs near frequencies ω corresponding to the crossing points of the electromagnetic modes ω=ω
c
(l,m) and the beam modes ω=(l+N)Ω∥, where ω
c
and Ω∥ are the waveguide cutoff frequency and the electron cyclotron frequency, respectively, and N is the number of wiggler periods.</description><subject>420300 - Engineering- Lasers- (-1989)</subject><subject>ANALYTICAL SOLUTION</subject><subject>ANNULAR SPACE</subject><subject>Applied sciences</subject><subject>BEAM DYNAMICS</subject><subject>COHERENT RADIATION</subject><subject>COMPUTERS</subject><subject>CONFIGURATION</subject><subject>CYCLOTRON FREQUENCY</subject><subject>CYLINDERS</subject><subject>DISPERSION RELATIONS</subject><subject>ELECTRICAL EQUIPMENT</subject><subject>ELECTROMAGNETIC RADIATION</subject><subject>Electromagnetism; electron and ion optics</subject><subject>ELECTROMAGNETS</subject><subject>ELECTRON RINGS</subject><subject>ENERGY RANGE</subject><subject>ENGINEERING</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>INSTABILITY</subject><subject>MAGNETIC FIELDS</subject><subject>MAGNETS</subject><subject>MICROWAVE RADIATION</subject><subject>MOTION</subject><subject>Other techniques and industries</subject><subject>Physics</subject><subject>Radiation by moving charges</subject><subject>RADIATIONS</subject><subject>RELATIVISTIC RANGE</subject><subject>ROTATION</subject><subject>SPACE</subject><subject>WAVEGUIDES</subject><subject>WIGGLER MAGNETS</subject><issn>0031-9171</issn><issn>2163-4998</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1985</creationdate><recordtype>article</recordtype><recordid>eNqFkMtKxTAQhoMoeDwKPkIREV1UZ5o2aZYi3kBwo-sQ04lGepJjUhe-va1Vd2I2yZ_55vYzto9wiiD4GZ62olaKb7BFhYKX47vdZAsAjqVCidtsJ-dXgKrGmi-YuaZAyQw-hiK6gnqyQ4or8xxo8LZIpvNz0I2_hSlSHEYdnn_IUKRJ-TDF_HrdU1f8ZjtPfbfLtpzpM-1930v2eHX5cHFT3t1f316c35W2lnIoVUeqwYpk5USnYDxNRaJuZGsFNI2VHEFJgBadI6mgExZk2_CnqlNPyiFfsoO5bsyD19n6geyLjSGMc2oBICdXluxohtYpvr1THvTKZ0t9bwLF96yrWqBAqEbweAZtijkncnqd_MqkD42gJ6M16tnoET38rmmyNb1LJliff_m25UK1_2MNr2uc1jiZsWmDL-v_7vwJIdeVQA</recordid><startdate>198504</startdate><enddate>198504</enddate><creator>Yin, Y. Z.</creator><creator>Bekefi, G.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>198504</creationdate><title>Generation of electromagnetic radiation from a rotating electron ring in a rippled magnetic field</title><author>Yin, Y. Z. ; Bekefi, G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c477t-9de9512e72f6d9000052e64578c6055c7310970081ffe790d6c07853b2d9b9f13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1985</creationdate><topic>420300 - Engineering- Lasers- (-1989)</topic><topic>ANALYTICAL SOLUTION</topic><topic>ANNULAR SPACE</topic><topic>Applied sciences</topic><topic>BEAM DYNAMICS</topic><topic>COHERENT RADIATION</topic><topic>COMPUTERS</topic><topic>CONFIGURATION</topic><topic>CYCLOTRON FREQUENCY</topic><topic>CYLINDERS</topic><topic>DISPERSION RELATIONS</topic><topic>ELECTRICAL EQUIPMENT</topic><topic>ELECTROMAGNETIC RADIATION</topic><topic>Electromagnetism; electron and ion optics</topic><topic>ELECTROMAGNETS</topic><topic>ELECTRON RINGS</topic><topic>ENERGY RANGE</topic><topic>ENGINEERING</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>INSTABILITY</topic><topic>MAGNETIC FIELDS</topic><topic>MAGNETS</topic><topic>MICROWAVE RADIATION</topic><topic>MOTION</topic><topic>Other techniques and industries</topic><topic>Physics</topic><topic>Radiation by moving charges</topic><topic>RADIATIONS</topic><topic>RELATIVISTIC RANGE</topic><topic>ROTATION</topic><topic>SPACE</topic><topic>WAVEGUIDES</topic><topic>WIGGLER MAGNETS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yin, Y. Z.</creatorcontrib><creatorcontrib>Bekefi, G.</creatorcontrib><creatorcontrib>Department of Physics and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Phys. Fluids; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yin, Y. Z.</au><au>Bekefi, G.</au><aucorp>Department of Physics and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generation of electromagnetic radiation from a rotating electron ring in a rippled magnetic field</atitle><jtitle>Phys. Fluids; (United States)</jtitle><date>1985-04</date><risdate>1985</risdate><volume>28</volume><issue>4</issue><spage>1186</spage><epage>1192</epage><pages>1186-1192</pages><issn>0031-9171</issn><eissn>2163-4998</eissn><coden>PFLDAS</coden><abstract>Calculations show that modes resembling the free‐electron laser (FEL) instability are excited when electrons move in quasicircular orbits under the combined action of a uniform axial magnetic field and an azimuthally periodic wiggler magnetic field. In the model, a thin annular ring of rotating electrons is confined in a hollow cylindrical waveguide, or between concentric cylinders comprising a coaxial waveguide, and the dispersion equations for the transverse magnetic (TM
l
m
) modes are derived and analyzed. Coherent radiation occurs near frequencies ω corresponding to the crossing points of the electromagnetic modes ω=ω
c
(l,m) and the beam modes ω=(l+N)Ω∥, where ω
c
and Ω∥ are the waveguide cutoff frequency and the electron cyclotron frequency, respectively, and N is the number of wiggler periods.</abstract><cop>Woodbury, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.864993</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Phys. Fluids; (United States), 1985-04, Vol.28 (4), p.1186-1192 |
| issn | 0031-9171 2163-4998 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | 420300 - Engineering- Lasers- (-1989) ANALYTICAL SOLUTION ANNULAR SPACE Applied sciences BEAM DYNAMICS COHERENT RADIATION COMPUTERS CONFIGURATION CYCLOTRON FREQUENCY CYLINDERS DISPERSION RELATIONS ELECTRICAL EQUIPMENT ELECTROMAGNETIC RADIATION Electromagnetism electron and ion optics ELECTROMAGNETS ELECTRON RINGS ENERGY RANGE ENGINEERING Exact sciences and technology Fundamental areas of phenomenology (including applications) INSTABILITY MAGNETIC FIELDS MAGNETS MICROWAVE RADIATION MOTION Other techniques and industries Physics Radiation by moving charges RADIATIONS RELATIVISTIC RANGE ROTATION SPACE WAVEGUIDES WIGGLER MAGNETS |
| title | Generation of electromagnetic radiation from a rotating electron ring in a rippled magnetic field |
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