Transverse-Longitudinal Coupling in Intense Beams
The coupling between transverse and longitudinal perturbations is studied self-consistently by considering a beam of K-V distribution. The analysis is carried out within the context of linearized Vlasov-Maxwell equations and electrostatic approximation. The perturbation is assumed to be azimuthally...
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| Veröffentlicht in: | IEEE transactions on nuclear science 1981-06, Vol.28 (3), p.2477-2479 |
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| container_title | IEEE transactions on nuclear science |
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| creator | Wang, Tai-Sen F. Smith, Lloyd |
| description | The coupling between transverse and longitudinal perturbations is studied self-consistently by considering a beam of K-V distribution. The analysis is carried out within the context of linearized Vlasov-Maxwell equations and electrostatic approximation. The perturbation is assumed to be azimuthally symmetric but axially non-uniform (kz ≠ 0). It is shown that the coupling affects both the longitudinal and transverse modes significantly in the high density and low frequency region. Two new classes of longitudinal modes are found which would not exist if the transverse motions of particles are neglected. The effect of resistive wall impedance on beam stability is also studied. It is found that the longitudinal impedance can cause the transverse modes also to be weakly unstable. |
| doi_str_mv | 10.1109/TNS.1981.4331728 |
| format | Article |
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The analysis is carried out within the context of linearized Vlasov-Maxwell equations and electrostatic approximation. The perturbation is assumed to be azimuthally symmetric but axially non-uniform (kz ≠ 0). It is shown that the coupling affects both the longitudinal and transverse modes significantly in the high density and low frequency region. Two new classes of longitudinal modes are found which would not exist if the transverse motions of particles are neglected. The effect of resistive wall impedance on beam stability is also studied. It is found that the longitudinal impedance can cause the transverse modes also to be weakly unstable.</description><identifier>ISSN: 0018-9499</identifier><identifier>EISSN: 1558-1578</identifier><identifier>DOI: 10.1109/TNS.1981.4331728</identifier><identifier>CODEN: IETNAE</identifier><language>eng</language><publisher>IEEE</publisher><subject>Electrostatic analysis ; Frequency ; Impedance ; Integrodifferential equations ; Optical coupling ; Particle beams ; Poisson equations ; Polynomials ; Space charge ; Stability</subject><ispartof>IEEE transactions on nuclear science, 1981-06, Vol.28 (3), p.2477-2479</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c303t-f02bfc89d1eb1443797ac7b89a435eef4f757863d9dddc2b46d6d4e74abec6ad3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4331728$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27901,27902,54733</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4331728$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Wang, Tai-Sen F.</creatorcontrib><creatorcontrib>Smith, Lloyd</creatorcontrib><title>Transverse-Longitudinal Coupling in Intense Beams</title><title>IEEE transactions on nuclear science</title><addtitle>TNS</addtitle><description>The coupling between transverse and longitudinal perturbations is studied self-consistently by considering a beam of K-V distribution. The analysis is carried out within the context of linearized Vlasov-Maxwell equations and electrostatic approximation. The perturbation is assumed to be azimuthally symmetric but axially non-uniform (kz ≠ 0). It is shown that the coupling affects both the longitudinal and transverse modes significantly in the high density and low frequency region. Two new classes of longitudinal modes are found which would not exist if the transverse motions of particles are neglected. The effect of resistive wall impedance on beam stability is also studied. It is found that the longitudinal impedance can cause the transverse modes also to be weakly unstable.</description><subject>Electrostatic analysis</subject><subject>Frequency</subject><subject>Impedance</subject><subject>Integrodifferential equations</subject><subject>Optical coupling</subject><subject>Particle beams</subject><subject>Poisson equations</subject><subject>Polynomials</subject><subject>Space charge</subject><subject>Stability</subject><issn>0018-9499</issn><issn>1558-1578</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1981</creationdate><recordtype>article</recordtype><recordid>eNo9j01LxDAQhoMoWFfvgpf-gdRMkzbJUYsfC0UP1nNJm-kS6aZL0hX893bZ1dPL8M4zzEPILbAMgOn75u0jA60gE5yDzNUZSaAoFIVCqnOSMAaKaqH1JbmK8WsZRcGKhEATjI_fGCLSevIbN--t82ZMq2m_G53fpM6naz-jj5g-otnGa3IxmDHizSlX5PP5qaleaf3-sq4eatpzxmc6sLwbeqUtYAdCcKml6WWntBG8QBzEIJfPSm61tbbPO1Ha0gqUwnTYl8byFWHHu32YYgw4tLvgtib8tMDag3K7KLcH5fakvCB3R8Qh4v_6X_sLeDhTLA</recordid><startdate>198106</startdate><enddate>198106</enddate><creator>Wang, Tai-Sen F.</creator><creator>Smith, Lloyd</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>198106</creationdate><title>Transverse-Longitudinal Coupling in Intense Beams</title><author>Wang, Tai-Sen F. ; Smith, Lloyd</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c303t-f02bfc89d1eb1443797ac7b89a435eef4f757863d9dddc2b46d6d4e74abec6ad3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1981</creationdate><topic>Electrostatic analysis</topic><topic>Frequency</topic><topic>Impedance</topic><topic>Integrodifferential equations</topic><topic>Optical coupling</topic><topic>Particle beams</topic><topic>Poisson equations</topic><topic>Polynomials</topic><topic>Space charge</topic><topic>Stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Tai-Sen F.</creatorcontrib><creatorcontrib>Smith, Lloyd</creatorcontrib><collection>CrossRef</collection><jtitle>IEEE transactions on nuclear science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Wang, Tai-Sen F.</au><au>Smith, Lloyd</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Transverse-Longitudinal Coupling in Intense Beams</atitle><jtitle>IEEE transactions on nuclear science</jtitle><stitle>TNS</stitle><date>1981-06</date><risdate>1981</risdate><volume>28</volume><issue>3</issue><spage>2477</spage><epage>2479</epage><pages>2477-2479</pages><issn>0018-9499</issn><eissn>1558-1578</eissn><coden>IETNAE</coden><abstract>The coupling between transverse and longitudinal perturbations is studied self-consistently by considering a beam of K-V distribution. The analysis is carried out within the context of linearized Vlasov-Maxwell equations and electrostatic approximation. The perturbation is assumed to be azimuthally symmetric but axially non-uniform (kz ≠ 0). It is shown that the coupling affects both the longitudinal and transverse modes significantly in the high density and low frequency region. Two new classes of longitudinal modes are found which would not exist if the transverse motions of particles are neglected. The effect of resistive wall impedance on beam stability is also studied. It is found that the longitudinal impedance can cause the transverse modes also to be weakly unstable.</abstract><pub>IEEE</pub><doi>10.1109/TNS.1981.4331728</doi><tpages>3</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0018-9499 |
| ispartof | IEEE transactions on nuclear science, 1981-06, Vol.28 (3), p.2477-2479 |
| issn | 0018-9499 1558-1578 |
| language | eng |
| recordid | cdi_ieee_primary_4331728 |
| source | IEEE Electronic Library (IEL) |
| subjects | Electrostatic analysis Frequency Impedance Integrodifferential equations Optical coupling Particle beams Poisson equations Polynomials Space charge Stability |
| title | Transverse-Longitudinal Coupling in Intense Beams |
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