{"id":"https://openalex.org/W2072657111","doi":"https://doi.org/10.1364/oe.19.021174","title":"Applying slope constrained Q-type aspheres to develop higher performance lenses","display_name":"Applying slope constrained Q-type aspheres to develop higher performance lenses","publication_year":2011,"publication_date":"2011-10-10","ids":{"openalex":"https://openalex.org/W2072657111","doi":"https://doi.org/10.1364/oe.19.021174","mag":"2072657111","pmid":"https://pubmed.ncbi.nlm.nih.gov/22108968"},"language":"en","primary_location":{"id":"doi:10.1364/oe.19.021174","doi":"https://doi.org/10.1364/oe.19.021174","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.19.021174","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","is_traditional":true,"indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1364/oe.19.021174","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101531695","display_name":"Bin Ma","orcid":"https://orcid.org/0000-0001-8174-691X","observed_orcids":["https://orcid.org/0000-0001-8174-691X"]},"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":"Bin Ma","raw_affiliation_strings":["The Institute of Optics, University of Rochester, 275 Hutchinson Road, Rochester, New York 14627, USA. binma@optics.rochester.edu","The Institute of Optics, University of Rochester, 275 Hutchinson Road, Rochester, New York 14627, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Optics, University of Rochester, 275 Hutchinson Road, Rochester, New York 14627, USA. binma@optics.rochester.edu","institution_ids":["https://openalex.org/I5388228"]},{"raw_affiliation_string":"The Institute of Optics, University of Rochester, 275 Hutchinson Road, Rochester, New York 14627, USA","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100412934","display_name":"Lin Li","orcid":"https://orcid.org/0000-0003-1846-8747","observed_orcids":["https://orcid.org/0000-0003-1846-8747"]},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Li","raw_affiliation_strings":["Department of Optoelectronics, Beijing Institute of Technology, 5 Zhonguangcun South Street, Haidian, Beijing 100081, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Optoelectronics, Beijing Institute of Technology, 5 Zhonguangcun South Street, Haidian, Beijing 100081, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108234956","display_name":"Kevin P. Thompson","orcid":"https://orcid.org/0009-0002-9472-3965","observed_orcids":["https://orcid.org/0009-0002-9472-3965"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kevin P. Thompson","raw_affiliation_strings":["Synopsys Inc., 3 Graywood Lane, Pittsford, New York 14534, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Synopsys Inc., 3 Graywood Lane, Pittsford, New York 14534, USA","institution_ids":[]}]},{"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":["The Institute of Optics, University of Rochester, 275 Hutchinson Road, Rochester, New York 14627, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Optics, University of Rochester, 275 Hutchinson Road, Rochester, New York 14627, USA","institution_ids":["https://openalex.org/I5388228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":0.9498,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.73219147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"22","first_page":"21174","last_page":"21174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11517","display_name":"Advanced optical system design","score":0.9965999722480774,"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"}},"topics":[{"id":"https://openalex.org/T11517","display_name":"Advanced optical system design","score":0.9965999722480774,"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/T11338","display_name":"Advancements in Photolithography Techniques","score":0.0010000000474974513,"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"}},{"id":"https://openalex.org/T10638","display_name":"Optical measurement and interference techniques","score":0.0007999999797903001,"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/lens-performance","display_name":"lens performance","score":0.3050000071525574}],"concepts":[{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.8113062381744385},{"id":"https://openalex.org/C2779844322","wikidata":"https://www.wikidata.org/wiki/Q2919140","display_name":"Tilt (camera)","level":2,"score":0.7452200651168823},{"id":"https://openalex.org/C15336307","wikidata":"https://www.wikidata.org/wiki/Q1766051","display_name":"Lens (geology)","level":2,"score":0.6331747770309448},{"id":"https://openalex.org/C204223013","wikidata":"https://www.wikidata.org/wiki/Q133036","display_name":"Lithography","level":2,"score":0.5296722650527954},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5261409282684326},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5010690689086914},{"id":"https://openalex.org/C159108749","wikidata":"https://www.wikidata.org/wiki/Q898896","display_name":"Numerical aperture","level":3,"score":0.4817345440387726},{"id":"https://openalex.org/C78336883","wikidata":"https://www.wikidata.org/wiki/Q4779385","display_name":"Aperture (computer memory)","level":2,"score":0.46524226665496826},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3799059987068176},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37954503297805786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35130172967910767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2243322730064392},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14539989829063416},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1185251772403717},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.09773331880569458},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.09422394633293152},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1364/oe.19.021174","doi":"https://doi.org/10.1364/oe.19.021174","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.19.021174","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:22108968","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22108968","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.19.021174","doi":"https://doi.org/10.1364/oe.19.021174","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.19.021174","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":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1976069674","https://openalex.org/W1979319006","https://openalex.org/W1988203142","https://openalex.org/W2039493219","https://openalex.org/W2045459418","https://openalex.org/W2061403765","https://openalex.org/W2062688794","https://openalex.org/W2085954036","https://openalex.org/W2088681004","https://openalex.org/W2159005573"],"related_works":["https://openalex.org/W2024030720","https://openalex.org/W1980756134","https://openalex.org/W2545155517","https://openalex.org/W2746704320","https://openalex.org/W4401636186","https://openalex.org/W2058260349","https://openalex.org/W2035276608","https://openalex.org/W3127689377","https://openalex.org/W2524547485","https://openalex.org/W2164008666"],"abstract_inverted_index":{"It":[0],"has":[1,51],"recently":[2],"been":[3,52],"shown":[4],"that":[5,8,67,83,87,108],"the":[6,10,70,127],"coefficients":[7],"specify":[9],"aspheric":[11,49,85],"departure":[12],"from":[13],"a":[14,42,73,122],"spherical":[15],"surface":[16,64,74],"in":[17,30,45,140],"high":[18],"NA":[19,124],"lithographic":[20,117],"lenses":[21],"routinely":[22],"require":[23],"more":[24,96,136],"significant":[25],"digits":[26],"than":[27,137],"are":[28,37,88,93,109],"available":[29],"even":[31],"double":[32],"precision":[33],"computers":[34],"when":[35],"they":[36,102],"described":[38],"as":[39],"part":[40],"of":[41,61,72],"power":[43],"series":[44],"aperture-squared.":[46],"The":[47],"Q-type":[48,84],"description":[50,65],"introduced":[53],"to":[54,75,106,112,129],"solve":[55],"this":[56,62],"problem.":[57],"An":[58],"important":[59],"by-product":[60],"new":[63],"is":[66,133],"it":[68],"allows":[69],"slope":[71,91],"be":[76],"directly":[77],"constrained":[78],"during":[79],"optimization.":[80],"Results":[81],"show":[82],"surfaces":[86],"optimized":[89],"with":[90],"constraints":[92],"not":[94],"only":[95],"testable,":[97],"an":[98],"original":[99],"motivation,":[100],"but,":[101],"can":[103],"also":[104],"lead":[105],"solutions":[107],"less":[110],"sensitive":[111],"assembly":[113],"induced":[114],"misalignments":[115],"for":[116,121],"quality":[118],"lenses.":[119],"Specifically,":[120],"representative":[123],"0.75":[125],"lens,":[126],"sensitivity":[128],"tilt":[130],"and":[131],"decenter":[132],"reduced":[134],"by":[135],"3X,":[138],"resulting":[139],"significantly":[141],"higher":[142],"lens":[143],"performance":[144],"in-use.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2016-06-24T00:00:00"}