{"id":"https://openalex.org/W7128798251","doi":"https://doi.org/10.6084/m9.figshare.4944167","title":"Media 1: An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems","display_name":"Media 1: An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W7128798251","doi":"https://doi.org/10.6084/m9.figshare.4944167"},"language":"en","primary_location":{"id":"doi:10.6084/m9.figshare.4944167","doi":"https://doi.org/10.6084/m9.figshare.4944167","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.4944167","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.6084/m9.figshare.4944167","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112236057","display_name":"Robert W. Gray","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gray, Robert W.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077273569","display_name":"Christina Dunn","orcid":"https://orcid.org/0009-0009-8458-0906","observed_orcids":["https://orcid.org/0009-0009-8458-0906"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dunn, Christina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"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":"Thompson, Kevin P.","raw_affiliation_strings":[],"raw_orcid":null,"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":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rolland, Jannick P.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.40924492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.7196999788284302,"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/T11484","display_name":"Adaptive optics and wavefront sensing","score":0.7196999788284302,"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/T11517","display_name":"Advanced optical system design","score":0.13130000233650208,"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/T10490","display_name":"Orbital Angular Momentum in Optics","score":0.042500000447034836,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/zernike-polynomials","display_name":"Zernike polynomials","score":1.0},{"id":"https://openalex.org/keywords/rotationally-symmetric-optical-systems","display_name":"rotationally symmetric optical systems","score":0.9340000152587891},{"id":"https://openalex.org/keywords/field-dependence","display_name":"field dependence","score":0.6179999709129333},{"id":"https://openalex.org/keywords/closed-form-expressions","display_name":"closed-form expressions","score":0.652999997138977},{"id":"https://openalex.org/keywords/wavefront-aberrations","display_name":"wavefront aberrations","score":0.8420000076293945},{"id":"https://openalex.org/keywords/optical-aberration-analysis","display_name":"optical aberration analysis","score":0.47099998593330383}],"concepts":[{"id":"https://openalex.org/C92423082","wikidata":"https://www.wikidata.org/wiki/Q132146","display_name":"Zernike polynomials","level":3,"score":0.8837000131607056},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.605400025844574},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5284000039100647},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.521399974822998},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.44440001249313354},{"id":"https://openalex.org/C110277352","wikidata":"https://www.wikidata.org/wiki/Q467980","display_name":"Geometrical optics","level":2,"score":0.37869998812675476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3513000011444092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3276999890804291},{"id":"https://openalex.org/C154236941","wikidata":"https://www.wikidata.org/wiki/Q942347","display_name":"Physical optics","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27889999747276306},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2678000032901764},{"id":"https://openalex.org/C187268509","wikidata":"https://www.wikidata.org/wiki/Q1402884","display_name":"Field theory (psychology)","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.25130000710487366}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.6084/m9.figshare.4944167","doi":"https://doi.org/10.6084/m9.figshare.4944167","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.4944167","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},{"id":"doi:10.6084/m9.figshare.4944167.v1","doi":"https://doi.org/10.6084/m9.figshare.4944167.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.4944167.v1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"doi:10.6084/m9.figshare.4944167","doi":"https://doi.org/10.6084/m9.figshare.4944167","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.4944167","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"JournalArticle"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7128765512","https://openalex.org/W2064842827","https://openalex.org/W2032942994","https://openalex.org/W1984937424","https://openalex.org/W2010876429","https://openalex.org/W3084642073","https://openalex.org/W2745938086","https://openalex.org/W3044348248","https://openalex.org/W4321140907","https://openalex.org/W2072071048"],"abstract_inverted_index":{"Originally":[0],"published":[1],"in":[2],"Optics":[3],"Express":[4],"on":[5],"16":[6],"July":[7],"2012":[8],"(oe-20-15-16436)":[9]},"counts_by_year":[],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2026-02-14T00:00:00"}
