{"id":"https://openalex.org/W4388637770","doi":"https://doi.org/10.1364/oe.502744","title":"Sigma vector calculations in nodal aberration theory and experimental validation using a Cassegrain telescope","display_name":"Sigma vector calculations in nodal aberration theory and experimental validation using a Cassegrain telescope","publication_year":2023,"publication_date":"2023-11-13","ids":{"openalex":"https://openalex.org/W4388637770","doi":"https://doi.org/10.1364/oe.502744","pmid":"https://pubmed.ncbi.nlm.nih.gov/38087613"},"language":"en","primary_location":{"id":"doi:10.1364/oe.502744","doi":"https://doi.org/10.1364/oe.502744","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.502744","pdf_url":null,"source":{"id":"https://openalex.org/S178776955","display_name":"Optics Express","issn_l":"1094-4087","issn":["1094-4087"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","medline","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Express","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1364/oe.502744","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019371328","display_name":"Meltem Ye\u015filtepe","orcid":"https://orcid.org/0009-0003-8403-4573","observed_orcids":["https://orcid.org/0009-0003-8403-4573"]},"institutions":[{"id":"https://openalex.org/I198068145","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77","country_code":"TR","type":"government","lineage":["https://openalex.org/I198068145"]},{"id":"https://openalex.org/I95634034","display_name":"Gazi University","ror":"https://ror.org/054xkpr46","country_code":"TR","type":"education","lineage":["https://openalex.org/I95634034"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Meltem Ye\u015filtepe","raw_affiliation_strings":["Gazi University","T\u00dcB\u0130TAK Space Technologies Research Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gazi University","institution_ids":["https://openalex.org/I95634034"]},{"raw_affiliation_string":"T\u00dcB\u0130TAK Space Technologies Research Institute","institution_ids":["https://openalex.org/I198068145"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012151387","display_name":"Aaron M. Bauer","orcid":"https://orcid.org/0000-0002-4879-8264","observed_orcids":["https://orcid.org/0000-0002-4879-8264"]},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aaron Bauer","raw_affiliation_strings":["University of Rochester"],"raw_orcid":"https://orcid.org/0000-0002-4879-8264","affiliations":[{"raw_affiliation_string":"University of Rochester","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007194124","display_name":"\u00d6zg\u00fcr Karc\u0131","orcid":"https://orcid.org/0000-0002-0704-8491","observed_orcids":["https://orcid.org/0000-0002-0704-8491"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u00d6zg\u00fcr Karc\u0131","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0704-8491","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004153189","display_name":"Jannick P. Rolland","orcid":"https://orcid.org/0000-0003-2747-4022","observed_orcids":["https://orcid.org/0000-0003-2747-4022"]},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jannick P. Rolland","raw_affiliation_strings":["University of Rochester"],"raw_orcid":"https://orcid.org/0000-0003-2747-4022","affiliations":[{"raw_affiliation_string":"University of Rochester","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2270,"currency":"USD","value_usd":2270},"apc_paid":{"value":2270,"currency":"USD","value_usd":2270},"fwci":1.3031,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.77149958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"31","issue":"25","first_page":"42373","last_page":"42373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11517","display_name":"Advanced optical system design","score":0.9648000001907349,"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/T11517","display_name":"Advanced optical system design","score":0.9648000001907349,"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/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.018200000748038292,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.00989999994635582,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nodal-aberration-theory","display_name":"nodal aberration theory","score":0.9419999718666077},{"id":"https://openalex.org/keywords/optical-misalignment","display_name":"optical misalignment","score":0.7039999961853027},{"id":"https://openalex.org/keywords/cassegrain-telescope","display_name":"Cassegrain telescope","score":0.9610000252723694},{"id":"https://openalex.org/keywords/third-order-aberrations","display_name":"third-order aberrations","score":0.7879999876022339},{"id":"https://openalex.org/keywords/astigmatism","display_name":"astigmatism","score":0.9990000128746033},{"id":"https://openalex.org/keywords/coma","display_name":"coma","score":0.996999979019165},{"id":"https://openalex.org/keywords/newtonian-telescope","display_name":"Newtonian telescope","score":0.7020000219345093},{"id":"https://openalex.org/keywords/three-mirror-anastigmat","display_name":"three-mirror anastigmat","score":0.9800000190734863},{"id":"https://openalex.org/keywords/interferometric-measurement","display_name":"interferometric measurement","score":0.6340000033378601},{"id":"https://openalex.org/keywords/field-dependent-aberrations","display_name":"field-dependent aberrations","score":0.6449999809265137}],"concepts":[{"id":"https://openalex.org/C192121959","wikidata":"https://www.wikidata.org/wiki/Q1048295","display_name":"Cassegrain reflector","level":3,"score":0.9067139625549316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8123862743377686},{"id":"https://openalex.org/C2780848835","wikidata":"https://www.wikidata.org/wiki/Q4213","display_name":"Telescope","level":2,"score":0.7938092350959778},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.6758158206939697},{"id":"https://openalex.org/C100136789","wikidata":"https://www.wikidata.org/wiki/Q1772448","display_name":"Coma (optics)","level":2,"score":0.519751250743866},{"id":"https://openalex.org/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"score":0.4672876000404358},{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.07926490902900696}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1364/oe.502744","doi":"https://doi.org/10.1364/oe.502744","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.502744","pdf_url":null,"source":{"id":"https://openalex.org/S178776955","display_name":"Optics Express","issn_l":"1094-4087","issn":["1094-4087"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","medline","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Express","raw_type":"journal-article"},{"id":"pmid:38087613","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38087613","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,"listed_in":[],"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":"Optics express","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1364/oe.502744","doi":"https://doi.org/10.1364/oe.502744","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.502744","pdf_url":null,"source":{"id":"https://openalex.org/S178776955","display_name":"Optics Express","issn_l":"1094-4087","issn":["1094-4087"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","ki-jl-1","medline","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310315679","host_organization_name":"Optica Publishing Group","host_organization_lineage":["https://openalex.org/P4310315679"],"host_organization_lineage_names":["Optica Publishing Group"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Express","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1858167854","https://openalex.org/W1980733262","https://openalex.org/W1996296703","https://openalex.org/W2053769426","https://openalex.org/W2059000268","https://openalex.org/W2061855547","https://openalex.org/W2063659133","https://openalex.org/W2079352912","https://openalex.org/W2790313327","https://openalex.org/W2800507607","https://openalex.org/W3082353004","https://openalex.org/W3118956845","https://openalex.org/W3171889382","https://openalex.org/W4206728006","https://openalex.org/W4225015513","https://openalex.org/W4236592793","https://openalex.org/W4254372346"],"related_works":["https://openalex.org/W4385626172","https://openalex.org/W4396916804","https://openalex.org/W4413946536","https://openalex.org/W4405868918","https://openalex.org/W2595507702","https://openalex.org/W4206728006","https://openalex.org/W2790313327","https://openalex.org/W4225015513","https://openalex.org/W3171889382","https://openalex.org/W2559818809"],"abstract_inverted_index":{"Nodal":[0],"Aberration":[1],"Theory":[2],"(NAT)":[3],"was":[4],"developed":[5],"to":[6,39,73],"explain":[7],"the":[8,16,36,41,46,51,58,64,67,74,86,110,136,144,150,155,169,174],"field":[9,13,48,166],"dependency":[10],"of":[11,19,57,66,80,99,139,165],"aberration":[12,47],"centers":[14],"in":[15,126,168],"image":[17,77,170],"plane":[18,171],"nominally":[20],"rotationally":[21],"symmetric":[22],"optical":[23,59,78,92],"systems":[24,93],"that":[25,81,172],"have":[26],"lost":[27],"their":[28],"symmetry":[29],"through":[30,159],"misalignments.":[31],"A":[32],"new":[33],"insight":[34],"into":[35],"theory":[37],"led":[38],"calculating":[40],"sigma":[42,87,130],"vectors,":[43],"which":[44],"locate":[45],"centers,":[49],"using":[50],"angle":[52],"between":[53],"a":[54,100,104,112,115,119,163],"real-ray":[55],"trace":[56],"axis":[60],"ray":[61],"(OAR)":[62],"and":[63,76,94,118,141,154,177],"normal":[65],"local":[68],"surface":[69],"where":[70],"\"local\"":[71],"refers":[72],"object":[75],"spaces":[79],"surface.":[82],"Here,":[83],"we":[84],"detail":[85],"vector":[88],"calculations":[89],"for":[90,135,149],"general":[91],"provide":[95],"an":[96],"experimental":[97],"investigation":[98],"misaligned":[101,124],"system":[102],"with":[103],"high-precision":[105],"customized":[106],"Cassegrain":[107,116,151],"telescope.":[108],"In":[109],"simulations,":[111],"Newtonian":[113],"telescope,":[114,117],"three-mirror":[120],"anastigmat":[121],"telescope":[122,152],"were":[123,132,147,157],"intentionally":[125],"ray-tracing":[127],"software.":[128],"The":[129],"vectors":[131],"calculated":[133],"analytically":[134],"third-order":[137],"aberrations":[138,156],"astigmatism":[140],"coma.":[142],"Experimentally,":[143],"same":[145],"perturbations":[146],"implemented":[148],"system,":[153],"quantified":[158],"interferometric":[160],"measurements":[161],"on":[162],"grid":[164],"points":[167],"verified":[173],"analytical":[175],"derivation":[176],"simulations.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":3}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-11-14T00:00:00"}