{"id":"https://openalex.org/W2009339136","doi":"https://doi.org/10.4018/ijoris.2013100102","title":"Numerical Solution for a Transient Temperature Distribution on a Finite Domain Due to a Dithering or Rotating Laser Beam","display_name":"Numerical Solution for a Transient Temperature Distribution on a Finite Domain Due to a Dithering or Rotating Laser Beam","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2009339136","doi":"https://doi.org/10.4018/ijoris.2013100102","mag":"2009339136"},"language":"en","primary_location":{"id":"doi:10.4018/ijoris.2013100102","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijoris.2013100102","pdf_url":null,"source":{"id":"https://openalex.org/S176018216","display_name":"International Journal of Operations Research and Information Systems","issn_l":"1947-9328","issn":["1947-9328","1947-9336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Operations Research and Information Systems","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":"https://openalex.org/A5043598313","display_name":"Tsu Wei Tan","orcid":"https://orcid.org/0000-0002-1145-9349"},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tsuwei Tan","raw_affiliation_strings":["Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA","institution_ids":["https://openalex.org/I35364215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101398026","display_name":"Hong Zhou","orcid":"https://orcid.org/0000-0003-0784-4073"},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong Zhou","raw_affiliation_strings":["Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA","institution_ids":["https://openalex.org/I35364215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043598313"],"corresponding_institution_ids":["https://openalex.org/I35364215"],"apc_list":null,"apc_paid":null,"fwci":0.3515,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62006034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"4","first_page":"22","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13965","display_name":"Laser and Thermal Forming Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T13965","display_name":"Laser and Thermal Forming Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11945","display_name":"Heat Transfer Mechanisms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10732","display_name":"Laser Material Processing Techniques","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/dither","display_name":"Dither","score":0.9465341567993164},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.6163941025733948},{"id":"https://openalex.org/keywords/wigner-distribution-function","display_name":"Wigner distribution function","score":0.560642421245575},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.5207359790802002},{"id":"https://openalex.org/keywords/gaussian-beam","display_name":"Gaussian beam","score":0.5092881917953491},{"id":"https://openalex.org/keywords/m-squared","display_name":"M squared","score":0.5083464980125427},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.508225679397583},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.4885047674179077},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48667460680007935},{"id":"https://openalex.org/keywords/laser-beam-quality","display_name":"Laser beam quality","score":0.4723920524120331},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.45950552821159363},{"id":"https://openalex.org/keywords/laser","display_name":"Laser","score":0.45079073309898376},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.448606014251709},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32887518405914307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2730101943016052},{"id":"https://openalex.org/keywords/laser-beams","display_name":"Laser beams","score":0.2525143623352051},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.2437276840209961},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2427111566066742},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16445690393447876},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13276445865631104},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09167054295539856}],"concepts":[{"id":"https://openalex.org/C70451592","wikidata":"https://www.wikidata.org/wiki/Q376493","display_name":"Dither","level":3,"score":0.9465341567993164},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.6163941025733948},{"id":"https://openalex.org/C151077058","wikidata":"https://www.wikidata.org/wiki/Q233415","display_name":"Wigner distribution function","level":3,"score":0.560642421245575},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.5207359790802002},{"id":"https://openalex.org/C2778315978","wikidata":"https://www.wikidata.org/wiki/Q944873","display_name":"Gaussian beam","level":3,"score":0.5092881917953491},{"id":"https://openalex.org/C173781883","wikidata":"https://www.wikidata.org/wiki/Q850928","display_name":"M squared","level":5,"score":0.5083464980125427},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.508225679397583},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.4885047674179077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48667460680007935},{"id":"https://openalex.org/C115171683","wikidata":"https://www.wikidata.org/wiki/Q6493038","display_name":"Laser beam quality","level":4,"score":0.4723920524120331},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.45950552821159363},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.45079073309898376},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.448606014251709},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32887518405914307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2730101943016052},{"id":"https://openalex.org/C2984025587","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser beams","level":3,"score":0.2525143623352051},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.2437276840209961},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2427111566066742},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16445690393447876},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13276445865631104},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09167054295539856},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C9083635","wikidata":"https://www.wikidata.org/wiki/Q2133535","display_name":"Noise shaping","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.4018/ijoris.2013100102","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijoris.2013100102","pdf_url":null,"source":{"id":"https://openalex.org/S176018216","display_name":"International Journal of Operations Research and Information Systems","issn_l":"1947-9328","issn":["1947-9328","1947-9336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Operations Research and Information Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:igg:joris0:v:4:y:2013:i:4:p:22-38","is_oa":false,"landing_page_url":"https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/ijoris.2013100102","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:calhoun.nps.edu:10945/40839","is_oa":false,"landing_page_url":"http://hdl.handle.net/10945/40839","pdf_url":null,"source":{"id":"https://openalex.org/S4306400952","display_name":"Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35364215","host_organization_name":"Naval Postgraduate School","host_organization_lineage":["https://openalex.org/I35364215"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W348750478","https://openalex.org/W569366527","https://openalex.org/W1509129286","https://openalex.org/W1857577988","https://openalex.org/W1991282190","https://openalex.org/W1992637289","https://openalex.org/W2000113459","https://openalex.org/W2006708749","https://openalex.org/W2012576728","https://openalex.org/W2041516302","https://openalex.org/W2080690819","https://openalex.org/W2084328035","https://openalex.org/W2087723989","https://openalex.org/W2138635031","https://openalex.org/W2315735665","https://openalex.org/W2499639652","https://openalex.org/W2740776761","https://openalex.org/W3111685920","https://openalex.org/W4211224162","https://openalex.org/W4231879038"],"related_works":["https://openalex.org/W2348251334","https://openalex.org/W2766149548","https://openalex.org/W2133156620","https://openalex.org/W2078670498","https://openalex.org/W1546810781","https://openalex.org/W2022094356","https://openalex.org/W2793345047","https://openalex.org/W2066801136","https://openalex.org/W1999975353","https://openalex.org/W2894405380"],"abstract_inverted_index":{"The":[0,19,34,91],"temperature":[1,58,74,103],"distribution":[2],"due":[3],"to":[4,24],"a":[5,13,78,88,106,112],"rotating":[6,66,79,113],"or":[7,67,114],"dithering":[8,68,89,115],"Gaussian":[9],"laser":[10,69,116],"beam":[11,70,80],"on":[12],"finite":[14],"body":[15],"is":[16,53,81],"obtained":[17],"numerically.":[18],"authors":[20],"apply":[21],"various":[22],"techniques":[23],"solve":[25],"the":[26,38,41,48,56,62,65,73,84,97,101,109],"nonhomogeneous":[27],"heat":[28],"equation":[29],"in":[30],"different":[31],"spatial":[32],"dimensions.":[33],"authors\u2019":[35,92],"approach":[36],"includes":[37],"Crank-Nicolson":[39],"method,":[40],"Fast":[42],"Fourier":[43],"Transform":[44],"(FFT)":[45],"method":[46],"and":[47,72],"commercial":[49],"software":[50],"COMSOL.":[51],"It":[52],"found":[54],"that":[55],"maximum":[57,102],"rise":[59,75,104],"decreases":[60],"as":[61,105],"frequency":[63,110],"of":[64,100,108,111],"increases":[71],"induced":[76,86],"by":[77,87],"smaller":[82],"than":[83],"one":[85],"beam.":[90,117],"numerical":[93],"results":[94],"also":[95],"provide":[96],"asymptotic":[98],"behavior":[99],"function":[107]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
