{"id":"https://openalex.org/W2962789842","doi":"https://doi.org/10.3390/s19143219","title":"Two Degree-of-Freedom Fiber-Coupled Heterodyne Grating Interferometer with Milli-Radian Operating Range of Rotation","display_name":"Two Degree-of-Freedom Fiber-Coupled Heterodyne Grating Interferometer with Milli-Radian Operating Range of Rotation","publication_year":2019,"publication_date":"2019-07-22","ids":{"openalex":"https://openalex.org/W2962789842","doi":"https://doi.org/10.3390/s19143219","mag":"2962789842","pmid":"https://pubmed.ncbi.nlm.nih.gov/31336608"},"language":"en","primary_location":{"id":"doi:10.3390/s19143219","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s19143219","pdf_url":"https://www.mdpi.com/1424-8220/19/14/3219/pdf?version=1563786347","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/19/14/3219/pdf?version=1563786347","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070783259","display_name":"Fuzhong Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fuzhong Yang","raw_affiliation_strings":["Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100656178","display_name":"Ming Zhang","orcid":"https://orcid.org/0000-0002-3820-5074"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ming Zhang","raw_affiliation_strings":["Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101909520","display_name":"Yu Zhu","orcid":"https://orcid.org/0000-0001-7615-2674"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Zhu","raw_affiliation_strings":["Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088732444","display_name":"Weinan Ye","orcid":"https://orcid.org/0000-0002-3776-7227"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weinan Ye","raw_affiliation_strings":["Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101914663","display_name":"Leijie Wang","orcid":"https://orcid.org/0009-0007-2441-6018"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leijie Wang","raw_affiliation_strings":["Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080747863","display_name":"Yizhou Xia","orcid":"https://orcid.org/0000-0003-3704-5280"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yizhou Xia","raw_affiliation_strings":["Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Lab of Precision/Ultra-Precision Manufacture Equipment and Control, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100656178"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2598},"fwci":0.8892,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.72109578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"14","first_page":"3219","last_page":"3219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":1.0,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10205","display_name":"Advanced Fiber Optic Sensors","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.8585929870605469},{"id":"https://openalex.org/keywords/zemax","display_name":"Zemax","score":0.7713623046875},{"id":"https://openalex.org/keywords/grating","display_name":"Grating","score":0.6440958976745605},{"id":"https://openalex.org/keywords/interferometry","display_name":"Interferometry","score":0.6240523457527161},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5739936828613281},{"id":"https://openalex.org/keywords/heterodyne","display_name":"Heterodyne (poetry)","score":0.53593909740448},{"id":"https://openalex.org/keywords/angular-displacement","display_name":"Angular displacement","score":0.4840547442436218},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.45639699697494507},{"id":"https://openalex.org/keywords/fiber-bragg-grating","display_name":"Fiber Bragg grating","score":0.42478665709495544},{"id":"https://openalex.org/keywords/optical-fiber","display_name":"Optical fiber","score":0.3721321225166321},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12243777513504028},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.11379393935203552},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.11175402998924255}],"concepts":[{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.8585929870605469},{"id":"https://openalex.org/C2778646699","wikidata":"https://www.wikidata.org/wiki/Q3085771","display_name":"Zemax","level":3,"score":0.7713623046875},{"id":"https://openalex.org/C2777813233","wikidata":"https://www.wikidata.org/wiki/Q1527816","display_name":"Grating","level":2,"score":0.6440958976745605},{"id":"https://openalex.org/C166689943","wikidata":"https://www.wikidata.org/wiki/Q850283","display_name":"Interferometry","level":2,"score":0.6240523457527161},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5739936828613281},{"id":"https://openalex.org/C2780497637","wikidata":"https://www.wikidata.org/wiki/Q16938394","display_name":"Heterodyne (poetry)","level":2,"score":0.53593909740448},{"id":"https://openalex.org/C108439606","wikidata":"https://www.wikidata.org/wiki/Q3305038","display_name":"Angular displacement","level":2,"score":0.4840547442436218},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.45639699697494507},{"id":"https://openalex.org/C43091971","wikidata":"https://www.wikidata.org/wiki/Q1397391","display_name":"Fiber Bragg grating","level":3,"score":0.42478665709495544},{"id":"https://openalex.org/C194232370","wikidata":"https://www.wikidata.org/wiki/Q162","display_name":"Optical fiber","level":2,"score":0.3721321225166321},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12243777513504028},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.11379393935203552},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.11175402998924255},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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":5,"locations":[{"id":"doi:10.3390/s19143219","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s19143219","pdf_url":"https://www.mdpi.com/1424-8220/19/14/3219/pdf?version=1563786347","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},{"id":"pmid:31336608","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31336608","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:c80297b7e6474f06bf7eb2fd152267a6","is_oa":true,"landing_page_url":"https://doaj.org/article/c80297b7e6474f06bf7eb2fd152267a6","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,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors, Vol 19, Iss 14, p 3219 (2019)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:5649568","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/6679590","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:mdpi.com:/1424-8220/19/14/3219/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/s19143219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/s19143219","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s19143219","pdf_url":"https://www.mdpi.com/1424-8220/19/14/3219/pdf?version=1563786347","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5299999713897705,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G8455056042","display_name":null,"funder_award_id":"51475262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2962789842.pdf","grobid_xml":"https://content.openalex.org/works/W2962789842.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W2008809755","https://openalex.org/W2011359424","https://openalex.org/W2020295449","https://openalex.org/W2021687650","https://openalex.org/W2048209476","https://openalex.org/W2065139347","https://openalex.org/W2076365604","https://openalex.org/W2079389447","https://openalex.org/W2081689099","https://openalex.org/W2092931388","https://openalex.org/W2095575090","https://openalex.org/W2101507576","https://openalex.org/W2109580750","https://openalex.org/W2475310359","https://openalex.org/W2608791817","https://openalex.org/W2774909030","https://openalex.org/W2905821196","https://openalex.org/W4244664608"],"related_works":["https://openalex.org/W2749428535","https://openalex.org/W2535396912","https://openalex.org/W2390680955","https://openalex.org/W2380402214","https://openalex.org/W2351769803","https://openalex.org/W2594631422","https://openalex.org/W2093030608","https://openalex.org/W2068253946","https://openalex.org/W2385273060","https://openalex.org/W1989851365"],"abstract_inverted_index":{"In":[0,27],"the":[1,5,16,21,25,52,59,84,91,95,101],"displacement":[2,64,108],"measurement":[3,109],"of":[4,40,61,94,124],"wafer":[6],"stage":[7],"in":[8,111],"lithography":[9],"machines,":[10],"signal":[11],"quality":[12],"is":[13,42,87,118],"affected":[14],"by":[15],"relative":[17],"angular":[18,63],"position":[19],"between":[20],"encoder":[22,85],"head":[23,86],"and":[24,65,71,114,121],"grating.":[26],"this":[28],"study,":[29],"a":[30,79],"two-degree-of-freedom":[31],"fiber-coupled":[32],"heterodyne":[33],"grating":[34,103],"interferometer":[35,104],"with":[36],"large":[37,62],"operating":[38],"range":[39],"rotation":[41],"presented.":[43],"Fibers":[44],"without":[45],"fiber":[46],"couplers":[47],"are":[48],"utilized":[49],"to":[50,89],"receive":[51],"interference":[53],"beams":[54],"for":[55],"high-contrast":[56],"signals":[57],"under":[58],"circumstances":[60],"ZEMAX":[66],"ray":[67],"tracing":[68],"software":[69],"simulation":[70],"experimental":[72],"validation":[73],"have":[74],"been":[75],"carried":[76],"out.":[77],"Meanwhile,":[78],"reference":[80],"beam":[81],"generated":[82],"inside":[83],"adopted":[88],"suppress":[90],"thermal":[92],"drift":[93],"interferometer.":[96],"Experimental":[97],"results":[98],"prove":[99],"that":[100],"proposed":[102],"could":[105],"realize":[106],"sub-nanometer":[107],"stability":[110],"both":[112],"in-plane":[113],"out-of-plane":[115],"directions,":[116],"which":[117],"0.246":[119],"nm":[120,123],"0.465":[122],"3\u03c3":[125],"value":[126],"respectively":[127],"within":[128],"30":[129],"s.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
