{"id":"https://openalex.org/W2033123734","doi":"https://doi.org/10.1103/physrevstab.9.064201","title":"Efficient computation of matched solutions of the Kapchinskij-Vladimirskij envelope equations for periodic focusing lattices","display_name":"Efficient computation of matched solutions of the Kapchinskij-Vladimirskij envelope equations for periodic focusing lattices","publication_year":2006,"publication_date":"2006-06-20","ids":{"openalex":"https://openalex.org/W2033123734","doi":"https://doi.org/10.1103/physrevstab.9.064201","mag":"2033123734"},"language":"en","primary_location":{"id":"doi:10.1103/physrevstab.9.064201","doi":"https://doi.org/10.1103/physrevstab.9.064201","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevstab.9.064201","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevSTAB.9.064201","source":{"id":"https://openalex.org/S149266522","display_name":"Physical Review Special Topics - Accelerators and Beams","issn_l":"1098-4402","issn":["1098-4402"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Special Topics - Accelerators and Beams","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://link.aps.org/pdf/10.1103/PhysRevSTAB.9.064201","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029614203","display_name":"Steven M. Lund","orcid":"https://orcid.org/0009-0000-1563-0804","observed_orcids":["https://orcid.org/0009-0000-1563-0804"]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven M. Lund","raw_affiliation_strings":["Lawrence Livermore National Laboratory, Livermore, California 94550, USA","Lawrence Livermore National Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory, Livermore, California 94550, USA","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Lawrence Livermore National Laboratory","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111477911","display_name":"Sven H. Chilton","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]},{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sven H. Chilton","raw_affiliation_strings":["Lawrence Livermore National Laboratory, Livermore, California 94550, USA","Lawrence Berkeley National Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory, Livermore, California 94550, USA","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Lawrence Berkeley National Laboratory","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068987500","display_name":"Edward P. Lee","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]},{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edward P. Lee","raw_affiliation_strings":["Lawrence Livermore National Laboratory, Livermore, California 94550, USA","Lawrence Berkeley National Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Livermore National Laboratory, Livermore, California 94550, USA","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Lawrence Berkeley National Laboratory","institution_ids":["https://openalex.org/I148283060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5235,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.9355974,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"9","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11367","display_name":"Particle accelerators and beam dynamics","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11367","display_name":"Particle accelerators and beam dynamics","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10559","display_name":"Particle Accelerators and Free-Electron Lasers","score":0.0071000000461936,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12762","display_name":"Crystallography and Radiation Phenomena","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/beam-envelope-equation","display_name":"beam envelope equation","score":0.8840000033378601},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.5770000219345093},{"id":"https://openalex.org/keywords/transverse-beam-dynamics","display_name":"transverse beam dynamics","score":0.7300000190734863},{"id":"https://openalex.org/keywords/convergence-properties","display_name":"convergence properties","score":0.421999990940094}],"concepts":[{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.6989043354988098},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.6441026926040649},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5322812795639038},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.5065425634384155},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.49278953671455383},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4830835163593292},{"id":"https://openalex.org/C39984356","wikidata":"https://www.wikidata.org/wiki/Q2121987","display_name":"Quadrupole","level":2,"score":0.46333184838294983},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.46113312244415283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4274354577064514},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40808555483818054},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3265780210494995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2336001694202423},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.21087467670440674},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17611438035964966},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1615695357322693},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10265195369720459},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1103/physrevstab.9.064201","doi":"https://doi.org/10.1103/physrevstab.9.064201","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevstab.9.064201","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevSTAB.9.064201","source":{"id":"https://openalex.org/S149266522","display_name":"Physical Review Special Topics - Accelerators and Beams","issn_l":"1098-4402","issn":["1098-4402"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Special Topics - Accelerators and Beams","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:physics/0602150","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/physics/0602150","pdf_url":"https://arxiv.org/pdf/physics/0602150","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:931263","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/931263","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:doaj.org/article:72f0d09fc16d44e283b3de5187ada5ee","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/72f0d09fc16d44e283b3de5187ada5ee","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review Special Topics. Accelerators and Beams, Vol 9, Iss 6, p 064201 (2006)","raw_type":"article"},{"id":"doi:10.48550/arxiv.physics/0602150","doi":"https://doi.org/10.48550/arxiv.physics/0602150","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.physics/0602150","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1103/physrevstab.9.064201","doi":"https://doi.org/10.1103/physrevstab.9.064201","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevstab.9.064201","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevSTAB.9.064201","source":{"id":"https://openalex.org/S149266522","display_name":"Physical Review Special Topics - Accelerators and Beams","issn_l":"1098-4402","issn":["1098-4402"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Special Topics - Accelerators and Beams","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Sustainable cities and communities","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1398330795","display_name":null,"funder_award_id":"DE-AC03-?","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1702950523","display_name":null,"funder_award_id":"W-7405","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3007712266","display_name":null,"funder_award_id":"DEAC03-76SF0098","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6445123630","display_name":null,"funder_award_id":"-7405-ENG-48","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2033123734.pdf","grobid_xml":"https://content.openalex.org/works/W2033123734.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W571153906","https://openalex.org/W585756724","https://openalex.org/W594901403","https://openalex.org/W2000366510","https://openalex.org/W2006201085","https://openalex.org/W2017203747","https://openalex.org/W2133292567","https://openalex.org/W3049167472","https://openalex.org/W4300462325"],"related_works":["https://openalex.org/W1485669327","https://openalex.org/W4236445511","https://openalex.org/W2000366510","https://openalex.org/W2777127049","https://openalex.org/W2074022141","https://openalex.org/W4235529143","https://openalex.org/W1494181616","https://openalex.org/W6981689165","https://openalex.org/W2130002482","https://openalex.org/W2032690554"],"abstract_inverted_index":{"A":[0],"new":[1],"iterative":[2],"method":[3,40,61],"is":[4,41,44,62,89],"developed":[5],"to":[6,51,64,77],"numerically":[7],"calculate":[8],"the":[9,16,21,39,56,85],"periodic,":[10,30],"matched":[11,57,86],"beam":[12,27,87],"envelope":[13,58,88],"solution":[14],"of":[15,25,34,38,55,67,111],"coupled":[17],"Kapchinskij-Vladimirskij":[18],"equations":[19],"describing":[20],"transverse":[22],"edge":[23],"trajectory":[24],"a":[26,29,108],"in":[28],"linear":[31,68],"focusing":[32,69,101],"lattice":[33],"arbitrary":[35],"complexity.":[36],"Implementation":[37],"straightforward.":[42],"It":[43],"highly":[45],"convergent":[46],"and":[47,74,99],"can":[48],"be":[49],"applied":[50],"all":[52,65,78],"usual":[53],"parametrizations":[54],"solutions.":[59],"The":[60],"applicable":[63],"classes":[66],"lattices":[70],"without":[71],"skew":[72],"couplings,":[73],"also":[75],"applies":[76],"physically":[79],"achievable":[80],"system":[81,112],"parameters---including":[82],"cases":[83],"where":[84],"strongly":[90],"unstable.":[91],"Example":[92],"applications":[93],"are":[94,105],"presented":[95],"for":[96],"periodic":[97],"solenoidal":[98],"quadrupole":[100],"lattices.":[102],"Convergence":[103],"properties":[104],"summarized":[106],"over":[107],"wide":[109],"range":[110],"parameters.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}