{"id":"https://openalex.org/W1799569676","doi":"https://doi.org/10.3233/asy-2010-0985","title":"Dynamic properties of almost monochromatic standing waves","display_name":"Dynamic properties of almost monochromatic standing waves","publication_year":2010,"publication_date":"2010-05-01","ids":{"openalex":"https://openalex.org/W1799569676","doi":"https://doi.org/10.3233/asy-2010-0985","mag":"1799569676"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2010-0985","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-0985","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Claude Elbaz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155195","display_name":"H\u00f4pital Claude Huriez","ror":"https://ror.org/05cpv3t46","country_code":"FR","type":"healthcare","lineage":["https://openalex.org/I3018718406","https://openalex.org/I4210155195"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Claude Elbaz","raw_affiliation_strings":["5 All\u00e9e des Sophoras, 92330, Sceaux, France. E-mail: claudeelbaz@hotmail.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"5 All\u00e9e des Sophoras, 92330, Sceaux, France. E-mail: claudeelbaz@hotmail.com","institution_ids":["https://openalex.org/I4210155195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210155195"],"apc_list":null,"apc_paid":null,"fwci":0.6659,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72704955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"68","issue":"1-2","first_page":"77","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13885","display_name":"Geophysics and Sensor Technology","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T13885","display_name":"Geophysics and Sensor Technology","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T11960","display_name":"Relativity and Gravitational Theory","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/monochromatic-color","display_name":"Monochromatic color","score":0.8789750337600708},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5204184651374817},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.4255502223968506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35394400358200073},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3462820053100586},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34151238203048706},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.23690789937973022}],"concepts":[{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.8789750337600708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5204184651374817},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4255502223968506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35394400358200073},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3462820053100586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34151238203048706},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.23690789937973022}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2010-0985","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2010-0985","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1523217322","https://openalex.org/W1629244237","https://openalex.org/W1666853924","https://openalex.org/W2053750188","https://openalex.org/W2064575216","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2509614667","https://openalex.org/W2963293152","https://openalex.org/W4302199713","https://openalex.org/W4282026465","https://openalex.org/W2626027010","https://openalex.org/W2963562790","https://openalex.org/W2909469610","https://openalex.org/W2755006503","https://openalex.org/W1629841509","https://openalex.org/W1547276641"],"abstract_inverted_index":{"For":[0],"a":[1,73],"scalar":[2],"field":[3],"propagating":[4],"at":[5],"light":[6],"velocity":[7],"c,":[8],"we":[9],"show":[10],"that":[11],"kinematic":[12],"and":[13,30],"dynamic":[14],"properties":[15,38],"of":[16,39,72],"almost":[17],"monochromatic":[18],"standing":[19],"waves,":[20],"with":[21,36,47],"frequency":[22],"\u03a9(x,":[23],"t)=\u03c9\u00b1\u03b4\u03a9(x,":[24],"t),":[25],"where":[26],"\u03c9":[27],"is":[28],"constant,":[29],"\u03b4\u03a9(x,":[31],"t)\ufffd\u03c9,":[32],"are":[33,42,102],"formally":[34],"identical":[35],"mechanical":[37,88],"matter.":[40],"They":[41],"both":[43],"described":[44],"by":[45,104],"equations":[46,77,89],"the":[48,61,75,80,92,105],"same":[49],"mathematical":[50],"structure.":[51],"The":[52,86],"energy":[53],"conservation":[54],"stems":[55,64],"from":[56,65],"stability":[57,66],"in":[58,67,96],"time,":[59],"while":[60],"variational":[62],"principle":[63],"space.":[68],"In":[69],"classical":[70],"mechanics":[71],"particle,":[74],"relativist":[76],"correspond":[78,90],"to":[79,91],"geometrical":[81],"optics":[82,94],"approximation":[83],"as":[84],"\u03c9\u2192\u221e.":[85],"quantum":[87],"wave":[93,98],"approximation,":[95],"which":[97],"homogeneous":[99],"Fourier":[100],"relations":[101],"replaced":[103],"material":[106],"Heisenberg":[107],"relations.":[108]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}