{"id":"https://openalex.org/W2082188350","doi":"https://doi.org/10.1137/070703144","title":"An Interaction Theory for Scattering by Defects in Arrays","display_name":"An Interaction Theory for Scattering by Defects in Arrays","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2082188350","doi":"https://doi.org/10.1137/070703144","mag":"2082188350"},"language":"en","primary_location":{"id":"doi:10.1137/070703144","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070703144","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.lboro.ac.uk/2134/4261","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043699511","display_name":"Ian Thompson","orcid":"https://orcid.org/0000-0001-5537-450X"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"I. Thompson","raw_affiliation_strings":["Loughborough University ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Loughborough University ,","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039601476","display_name":"C. M. Linton","orcid":"https://orcid.org/0000-0002-1930-1351"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C. M. Linton","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2456,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.62254628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"68","issue":"6","first_page":"1783","last_page":"1806"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.6920994520187378},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5903265476226807},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5793086290359497},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5445681810379028},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5118705630302429},{"id":"https://openalex.org/keywords/scattering-amplitude","display_name":"Scattering amplitude","score":0.4794706106185913},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4579460024833679},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4536920189857483},{"id":"https://openalex.org/keywords/scattering-theory","display_name":"Scattering theory","score":0.45189452171325684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43712812662124634},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4207664728164673},{"id":"https://openalex.org/keywords/excited-state","display_name":"Excited state","score":0.4154214859008789},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40634608268737793},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3879636228084564},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.35937559604644775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3252314627170563},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.273295521736145},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19344091415405273},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15832528471946716},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08336099982261658}],"concepts":[{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.6920994520187378},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5903265476226807},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5793086290359497},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5445681810379028},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5118705630302429},{"id":"https://openalex.org/C153013531","wikidata":"https://www.wikidata.org/wiki/Q1322810","display_name":"Scattering amplitude","level":3,"score":0.4794706106185913},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4579460024833679},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4536920189857483},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.45189452171325684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43712812662124634},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4207664728164673},{"id":"https://openalex.org/C181500209","wikidata":"https://www.wikidata.org/wiki/Q215328","display_name":"Excited state","level":2,"score":0.4154214859008789},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40634608268737793},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3879636228084564},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.35937559604644775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3252314627170563},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.273295521736145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19344091415405273},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15832528471946716},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08336099982261658},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/070703144","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070703144","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dspace.lboro.ac.uk:2134/4261","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/4261","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:figshare.com:article/9384938","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/An_interaction_theory_for_scattering_by_defects_in_arrays/9384938","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:dspace.lboro.ac.uk:2134/4261","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/4261","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W591089115","https://openalex.org/W1562574511","https://openalex.org/W1661918802","https://openalex.org/W1963799191","https://openalex.org/W1979777999","https://openalex.org/W1990671496","https://openalex.org/W1992886802","https://openalex.org/W1998162833","https://openalex.org/W1999661636","https://openalex.org/W2004333753","https://openalex.org/W2008335995","https://openalex.org/W2031404824","https://openalex.org/W2035956484","https://openalex.org/W2047315969","https://openalex.org/W2050824655","https://openalex.org/W2064353265","https://openalex.org/W2079209195","https://openalex.org/W2079463747","https://openalex.org/W2093557450","https://openalex.org/W2093982661","https://openalex.org/W2097926951","https://openalex.org/W2132253111","https://openalex.org/W2134177834","https://openalex.org/W2145072120","https://openalex.org/W2146775889","https://openalex.org/W2157262606","https://openalex.org/W2988248151"],"related_works":["https://openalex.org/W2016150009","https://openalex.org/W629824820","https://openalex.org/W3151493211","https://openalex.org/W1525777291","https://openalex.org/W2078987483","https://openalex.org/W2076577251","https://openalex.org/W105730666","https://openalex.org/W1976564212","https://openalex.org/W2051415155","https://openalex.org/W2129769013"],"abstract_inverted_index":{"Wave":[0],"scattering":[1],"by":[2],"an":[3],"array":[4,40],"of":[5,15,31,64,109],"bodies":[6],"that":[7,111],"is":[8,20,24,49,77],"periodic":[9],"except":[10],"for":[11,47,71],"a":[12,29,38,61],"finite":[13],"number":[14,63],"missing":[16],"or":[17],"irregular":[18],"elements":[19],"considered.":[21],"The":[22,43],"field":[23,59],"decomposed":[25],"into":[26,100],"contributions":[27],"from":[28],"set":[30],"canonical":[32],"problems,":[33],"which":[34,83],"are":[35,69,86],"solved":[36],"using":[37],"modified":[39],"scanning":[41],"method.":[42],"resulting":[44],"interaction":[45],"theory":[46,102],"defects":[48],"very":[50],"efficient":[51],"and":[52,74],"can":[53,97,112],"be":[54,98,113],"used":[55],"to":[56,79,105],"construct":[57],"the":[58,80,89,101,107],"in":[60],"large":[62],"different":[65],"situations.":[66],"Numerical":[67],"results":[68],"presented":[70],"several":[72],"cases,":[73],"particular":[75],"attention":[76],"paid":[78],"amplitude":[81],"with":[82],"surface":[84],"waves":[85],"excited":[87],"along":[88],"array.":[90],"We":[91],"also":[92],"show":[93],"how":[94],"other":[95],"approaches":[96],"incorporated":[99],"so":[103],"as":[104],"increase":[106],"range":[108],"problems":[110],"solved.":[114]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
