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Experimental determination of a nonlinear Hamiltonian in a synchrotron
The nonlinear beam dynamics of transverse betatron oscillators were studied experimentally at the Indiana University Cyclotron Facility Cooler Ring. Particles were kicked onto resonance islands and the properties of these islands were studied. The island tune was determined with high precision by Fo...
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| Published in: | Physical review letters 1991-12, Vol.67 (27), p.3768-3771 |
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| Main Authors: | , , , , , , , , , , , , , , , , , , , , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c330t-9eb1290499152ebdecffe6fc522982acef1bbdac1edb240ae6aa3a2e9dac12b73 |
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| cites | cdi_FETCH-LOGICAL-c330t-9eb1290499152ebdecffe6fc522982acef1bbdac1edb240ae6aa3a2e9dac12b73 |
| container_end_page | 3771 |
| container_issue | 27 |
| container_start_page | 3768 |
| container_title | Physical review letters |
| container_volume | 67 |
| creator | Lee, SY Ball, M Brabson, B Caussyn, DD Collins, J Curtis, S Derenchuck, V, V DuPlantis, D East, G Ellison, M Ellison, T Friesel, D Hamilton, B Jones, WP Lamble, W Li, D Minty, MG Schwandt, P Sloan, T Xu, G Chao, AW Tepikian, S Ng, KY |
| description | The nonlinear beam dynamics of transverse betatron oscillators were studied experimentally at the Indiana University Cyclotron Facility Cooler Ring. Particles were kicked onto resonance islands and the properties of these islands were studied. The island tune was determined with high precision by Fourier analyzing the spectrum containing the island oscillations. The island width was estimated based on a single-resonance model. The Hamiltonian of particle motion near a resonance condition was thus deduced. |
| doi_str_mv | 10.1103/PhysRevLett.67.3768 |
| format | article |
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Particles were kicked onto resonance islands and the properties of these islands were studied. The island tune was determined with high precision by Fourier analyzing the spectrum containing the island oscillations. The island width was estimated based on a single-resonance model. The Hamiltonian of particle motion near a resonance condition was thus deduced.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/PhysRevLett.67.3768</identifier><identifier>PMID: 10044821</identifier><language>eng</language><publisher>United States</publisher><subject>ACCELERATORS ; BEAM DYNAMICS ; BETATRONS ; CYCLIC ACCELERATORS ; DATA ; DEVELOPED COUNTRIES ; ENERGY SPECTRA ; EXPERIMENTAL DATA ; FOURIER ANALYSIS ; HAMILTONIANS ; INDIANA ; INFORMATION ; MATHEMATICAL MODELS ; MATHEMATICAL OPERATORS ; NONLINEAR PROBLEMS ; NORTH AMERICA ; NUMERICAL DATA ; PARTICLE ACCELERATORS ; PARTICLE MODELS ; QUANTUM OPERATORS ; RESONANCE ; SINGLE-PARTICLE MODEL ; SPECTRA ; SYNCHROTRONS ; USA 430400 -- Particle Accelerators-- Storage Rings</subject><ispartof>Physical review letters, 1991-12, Vol.67 (27), p.3768-3771</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c330t-9eb1290499152ebdecffe6fc522982acef1bbdac1edb240ae6aa3a2e9dac12b73</citedby><cites>FETCH-LOGICAL-c330t-9eb1290499152ebdecffe6fc522982acef1bbdac1edb240ae6aa3a2e9dac12b73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/10044821$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/5095768$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Lee, SY</creatorcontrib><creatorcontrib>Ball, M</creatorcontrib><creatorcontrib>Brabson, B</creatorcontrib><creatorcontrib>Caussyn, DD</creatorcontrib><creatorcontrib>Collins, J</creatorcontrib><creatorcontrib>Curtis, S</creatorcontrib><creatorcontrib>Derenchuck, V, V</creatorcontrib><creatorcontrib>DuPlantis, D</creatorcontrib><creatorcontrib>East, G</creatorcontrib><creatorcontrib>Ellison, M</creatorcontrib><creatorcontrib>Ellison, T</creatorcontrib><creatorcontrib>Friesel, D</creatorcontrib><creatorcontrib>Hamilton, B</creatorcontrib><creatorcontrib>Jones, WP</creatorcontrib><creatorcontrib>Lamble, W</creatorcontrib><creatorcontrib>Li, D</creatorcontrib><creatorcontrib>Minty, MG</creatorcontrib><creatorcontrib>Schwandt, P</creatorcontrib><creatorcontrib>Sloan, T</creatorcontrib><creatorcontrib>Xu, G</creatorcontrib><creatorcontrib>Chao, AW</creatorcontrib><creatorcontrib>Tepikian, S</creatorcontrib><creatorcontrib>Ng, KY</creatorcontrib><title>Experimental determination of a nonlinear Hamiltonian in a synchrotron</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>The nonlinear beam dynamics of transverse betatron oscillators were studied experimentally at the Indiana University Cyclotron Facility Cooler Ring. Particles were kicked onto resonance islands and the properties of these islands were studied. The island tune was determined with high precision by Fourier analyzing the spectrum containing the island oscillations. The island width was estimated based on a single-resonance model. The Hamiltonian of particle motion near a resonance condition was thus deduced.</description><subject>ACCELERATORS</subject><subject>BEAM DYNAMICS</subject><subject>BETATRONS</subject><subject>CYCLIC ACCELERATORS</subject><subject>DATA</subject><subject>DEVELOPED COUNTRIES</subject><subject>ENERGY SPECTRA</subject><subject>EXPERIMENTAL DATA</subject><subject>FOURIER ANALYSIS</subject><subject>HAMILTONIANS</subject><subject>INDIANA</subject><subject>INFORMATION</subject><subject>MATHEMATICAL MODELS</subject><subject>MATHEMATICAL OPERATORS</subject><subject>NONLINEAR PROBLEMS</subject><subject>NORTH AMERICA</subject><subject>NUMERICAL DATA</subject><subject>PARTICLE ACCELERATORS</subject><subject>PARTICLE MODELS</subject><subject>QUANTUM OPERATORS</subject><subject>RESONANCE</subject><subject>SINGLE-PARTICLE MODEL</subject><subject>SPECTRA</subject><subject>SYNCHROTRONS</subject><subject>USA 430400 -- Particle Accelerators-- Storage Rings</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><recordid>eNpNkE1LAzEQhoMotlZ_gSCLJy9bJ8l-5SiltUJBET2HbHaWRnaTmqRi_71b1kNPAzPPOy88hNxSmFMK_PFtewjv-LPBGOdFOedlUZ2RKYVSpCWl2TmZAnCaCoByQq5C-AIAyorqkkwoQJZVjE7Javm7Q296tFF1SYMRfW-sisbZxLWJSqyznbGofLJWvemis0bZxNjhFA5Wb72L3tlrctGqLuDN_5yRz9XyY7FON6_PL4unTao5h5gKrCkTkAlBc4Z1g7ptsWh1zpiomNLY0rpulKbY1CwDhYVSXDEUxx2rSz4j9-NfF6KRQZuIequdtaijzEHkg4QBehihnXffewxR9iZo7Dpl0e2DpFUuWFFyng0oH1HtXQgeW7kbZCh_kBTk0bI8sSyLUvKx4O6_YF_32JxkRq38D6IefQo</recordid><startdate>19911230</startdate><enddate>19911230</enddate><creator>Lee, SY</creator><creator>Ball, M</creator><creator>Brabson, B</creator><creator>Caussyn, DD</creator><creator>Collins, J</creator><creator>Curtis, S</creator><creator>Derenchuck, V, V</creator><creator>DuPlantis, D</creator><creator>East, G</creator><creator>Ellison, M</creator><creator>Ellison, T</creator><creator>Friesel, D</creator><creator>Hamilton, B</creator><creator>Jones, WP</creator><creator>Lamble, W</creator><creator>Li, D</creator><creator>Minty, MG</creator><creator>Schwandt, P</creator><creator>Sloan, T</creator><creator>Xu, G</creator><creator>Chao, AW</creator><creator>Tepikian, S</creator><creator>Ng, KY</creator><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>19911230</creationdate><title>Experimental determination of a nonlinear Hamiltonian in a synchrotron</title><author>Lee, SY ; Ball, M ; Brabson, B ; Caussyn, DD ; Collins, J ; Curtis, S ; Derenchuck, V, V ; DuPlantis, D ; East, G ; Ellison, M ; Ellison, T ; Friesel, D ; Hamilton, B ; Jones, WP ; Lamble, W ; Li, D ; Minty, MG ; Schwandt, P ; Sloan, T ; Xu, G ; Chao, AW ; Tepikian, S ; Ng, KY</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-9eb1290499152ebdecffe6fc522982acef1bbdac1edb240ae6aa3a2e9dac12b73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>ACCELERATORS</topic><topic>BEAM DYNAMICS</topic><topic>BETATRONS</topic><topic>CYCLIC ACCELERATORS</topic><topic>DATA</topic><topic>DEVELOPED COUNTRIES</topic><topic>ENERGY SPECTRA</topic><topic>EXPERIMENTAL DATA</topic><topic>FOURIER ANALYSIS</topic><topic>HAMILTONIANS</topic><topic>INDIANA</topic><topic>INFORMATION</topic><topic>MATHEMATICAL MODELS</topic><topic>MATHEMATICAL OPERATORS</topic><topic>NONLINEAR PROBLEMS</topic><topic>NORTH AMERICA</topic><topic>NUMERICAL DATA</topic><topic>PARTICLE ACCELERATORS</topic><topic>PARTICLE MODELS</topic><topic>QUANTUM OPERATORS</topic><topic>RESONANCE</topic><topic>SINGLE-PARTICLE MODEL</topic><topic>SPECTRA</topic><topic>SYNCHROTRONS</topic><topic>USA 430400 -- Particle Accelerators-- Storage Rings</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, SY</creatorcontrib><creatorcontrib>Ball, M</creatorcontrib><creatorcontrib>Brabson, B</creatorcontrib><creatorcontrib>Caussyn, DD</creatorcontrib><creatorcontrib>Collins, J</creatorcontrib><creatorcontrib>Curtis, S</creatorcontrib><creatorcontrib>Derenchuck, V, V</creatorcontrib><creatorcontrib>DuPlantis, D</creatorcontrib><creatorcontrib>East, G</creatorcontrib><creatorcontrib>Ellison, M</creatorcontrib><creatorcontrib>Ellison, T</creatorcontrib><creatorcontrib>Friesel, D</creatorcontrib><creatorcontrib>Hamilton, B</creatorcontrib><creatorcontrib>Jones, WP</creatorcontrib><creatorcontrib>Lamble, W</creatorcontrib><creatorcontrib>Li, D</creatorcontrib><creatorcontrib>Minty, MG</creatorcontrib><creatorcontrib>Schwandt, P</creatorcontrib><creatorcontrib>Sloan, T</creatorcontrib><creatorcontrib>Xu, G</creatorcontrib><creatorcontrib>Chao, AW</creatorcontrib><creatorcontrib>Tepikian, S</creatorcontrib><creatorcontrib>Ng, KY</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lee, SY</au><au>Ball, M</au><au>Brabson, B</au><au>Caussyn, DD</au><au>Collins, J</au><au>Curtis, S</au><au>Derenchuck, V, V</au><au>DuPlantis, D</au><au>East, G</au><au>Ellison, M</au><au>Ellison, T</au><au>Friesel, D</au><au>Hamilton, B</au><au>Jones, WP</au><au>Lamble, W</au><au>Li, D</au><au>Minty, MG</au><au>Schwandt, P</au><au>Sloan, T</au><au>Xu, G</au><au>Chao, AW</au><au>Tepikian, S</au><au>Ng, KY</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Experimental determination of a nonlinear Hamiltonian in a synchrotron</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>1991-12-30</date><risdate>1991</risdate><volume>67</volume><issue>27</issue><spage>3768</spage><epage>3771</epage><pages>3768-3771</pages><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>The nonlinear beam dynamics of transverse betatron oscillators were studied experimentally at the Indiana University Cyclotron Facility Cooler Ring. 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| fulltext | fulltext |
| identifier | ISSN: 0031-9007 |
| ispartof | Physical review letters, 1991-12, Vol.67 (27), p.3768-3771 |
| issn | 0031-9007 1079-7114 |
| language | eng |
| recordid | cdi_osti_scitechconnect_5095768 |
| source | American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list) |
| subjects | ACCELERATORS BEAM DYNAMICS BETATRONS CYCLIC ACCELERATORS DATA DEVELOPED COUNTRIES ENERGY SPECTRA EXPERIMENTAL DATA FOURIER ANALYSIS HAMILTONIANS INDIANA INFORMATION MATHEMATICAL MODELS MATHEMATICAL OPERATORS NONLINEAR PROBLEMS NORTH AMERICA NUMERICAL DATA PARTICLE ACCELERATORS PARTICLE MODELS QUANTUM OPERATORS RESONANCE SINGLE-PARTICLE MODEL SPECTRA SYNCHROTRONS USA 430400 -- Particle Accelerators-- Storage Rings |
| title | Experimental determination of a nonlinear Hamiltonian in a synchrotron |
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