{"id":"https://openalex.org/W7213610210","doi":"https://doi.org/10.1107/s160057752600843x","title":"Polynomial-shaped electrodes for adaptive X-ray optics","display_name":"Polynomial-shaped electrodes for adaptive X-ray optics","publication_year":2026,"publication_date":"2026-09-10","ids":{"openalex":"https://openalex.org/W7213610210","doi":"https://doi.org/10.1107/s160057752600843x","pmid":"https://pubmed.ncbi.nlm.nih.gov/42757650"},"language":"en","primary_location":{"id":"doi:10.1107/s160057752600843x","doi":"https://doi.org/10.1107/s160057752600843x","is_oa":true,"landing_page_url":"https://doi.org/10.1107/s160057752600843x","pdf_url":null,"source":{"id":"https://openalex.org/S114484406","display_name":"Journal of Synchrotron Radiation","issn_l":"0909-0495","issn":["0909-0495","1600-5775"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","doyens","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Synchrotron Radiation","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/10.1107/s160057752600843x","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079514851","display_name":"Kenneth A. Goldberg","orcid":"https://orcid.org/0000-0001-9984-5780","observed_orcids":["https://orcid.org/0000-0001-9984-5780"]},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I4387152530","display_name":"Advanced Light Source","ror":"https://ror.org/00319zh75","country_code":null,"type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521","https://openalex.org/I4387152530"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth A. Goldberg","raw_affiliation_strings":["Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA"],"raw_orcid":"https://orcid.org/0000-0001-9984-5780","affiliations":[{"raw_affiliation_string":"Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I4387152530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135617931","display_name":"Francesco Marzari","orcid":"https://orcid.org/0009-0005-2454-2466","observed_orcids":["https://orcid.org/0009-0005-2454-2466"]},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]},{"id":"https://openalex.org/I4387152530","display_name":"Advanced Light Source","ror":"https://ror.org/00319zh75","country_code":null,"type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521","https://openalex.org/I4387152530"]}],"countries":["IT","US"],"is_corresponding":false,"raw_author_name":"Francesco Marzari","raw_affiliation_strings":["Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA","Department of Industrial Engineering, University of Trento, via Sommarive 14, Trento 38123, Italy","Department of Physics, University of Trento, via Sommarive 14, Trento 38123, Italy","National Institute for Nuclear Physics (INFN), via Sommarive 14, Trento 38123, Italy"],"raw_orcid":"https://orcid.org/0009-0005-2454-2466","affiliations":[{"raw_affiliation_string":"Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I4387152530"]},{"raw_affiliation_string":"Department of Industrial Engineering, University of Trento, via Sommarive 14, Trento 38123, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"Department of Physics, University of Trento, via Sommarive 14, Trento 38123, Italy","institution_ids":["https://openalex.org/I193223587"]},{"raw_affiliation_string":"National Institute for Nuclear Physics (INFN), via Sommarive 14, Trento 38123, Italy","institution_ids":["https://openalex.org/I160013858"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030368821","display_name":"Grant D. Cutler","orcid":"https://orcid.org/0000-0003-2570-3952","observed_orcids":["https://orcid.org/0000-0003-2570-3952"]},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I4387152530","display_name":"Advanced Light Source","ror":"https://ror.org/00319zh75","country_code":null,"type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521","https://openalex.org/I4387152530"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Grant D. Cutler","raw_affiliation_strings":["Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA"],"raw_orcid":"https://orcid.org/0000-0003-2570-3952","affiliations":[{"raw_affiliation_string":"Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I4387152530"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3180,"currency":"USD","value_usd":3180},"apc_paid":{"value":3180,"currency":"USD","value_usd":3180},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.68242712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.22789999842643738,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.22789999842643738,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11525","display_name":"Piezoelectric Actuators and Control","score":0.20730000734329224,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10107","display_name":"Ferroelectric and Piezoelectric Materials","score":0.16200000047683716,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/x-ray-mirrors","display_name":"X-ray mirrors","score":0.7329999804496765},{"id":"https://openalex.org/keywords/lithium-niobate","display_name":"lithium niobate","score":0.9020000100135803},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.9599999785423279},{"id":"https://openalex.org/keywords/euler-bernoulli-beam","display_name":"Euler-Bernoulli beam","score":0.9100000262260437},{"id":"https://openalex.org/keywords/response-functions","display_name":"response functions","score":0.5759999752044678},{"id":"https://openalex.org/keywords/surface-fitting","display_name":"surface fitting","score":0.5040000081062317},{"id":"https://openalex.org/keywords/actuator-arrays","display_name":"actuator arrays","score":0.6200000047683716}],"concepts":[{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.7129999995231628},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.6872000098228455},{"id":"https://openalex.org/C132771110","wikidata":"https://www.wikidata.org/wiki/Q506922","display_name":"Adaptive optics","level":2,"score":0.6136000156402588},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.609499990940094},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.6086000204086304},{"id":"https://openalex.org/C78336883","wikidata":"https://www.wikidata.org/wiki/Q4779385","display_name":"Aperture (computer memory)","level":2,"score":0.5936999917030334},{"id":"https://openalex.org/C136872047","wikidata":"https://www.wikidata.org/wiki/Q5251695","display_name":"Deformable mirror","level":3,"score":0.5404999852180481},{"id":"https://openalex.org/C2777207636","wikidata":"https://www.wikidata.org/wiki/Q424481","display_name":"Lithium niobate","level":2,"score":0.5302000045776367},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5274999737739563},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.5020999908447266},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4514000117778778},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.3375000059604645},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.3100999891757965},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30720001459121704},{"id":"https://openalex.org/C2778753569","wikidata":"https://www.wikidata.org/wiki/Q1960395","display_name":"Span (engineering)","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2806999981403351},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.2685999870300293},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1107/s160057752600843x","doi":"https://doi.org/10.1107/s160057752600843x","is_oa":true,"landing_page_url":"https://doi.org/10.1107/s160057752600843x","pdf_url":null,"source":{"id":"https://openalex.org/S114484406","display_name":"Journal of Synchrotron Radiation","issn_l":"0909-0495","issn":["0909-0495","1600-5775"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","doyens","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Synchrotron Radiation","raw_type":"journal-article"},{"id":"pmid:42757650","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/42757650","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":"Journal of synchrotron radiation","raw_type":"Journal Article"},{"id":"pmh:oai:iris.unitn.it:11572/508550","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/11572/508550","pdf_url":null,"source":{"id":"https://openalex.org/S4377196320","display_name":"Iris (University of Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1107/s160057752600843x","doi":"https://doi.org/10.1107/s160057752600843x","is_oa":true,"landing_page_url":"https://doi.org/10.1107/s160057752600843x","pdf_url":null,"source":{"id":"https://openalex.org/S114484406","display_name":"Journal of Synchrotron Radiation","issn_l":"0909-0495","issn":["0909-0495","1600-5775"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","doyens","jufo-2","ki-jl-1","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Synchrotron Radiation","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G419881185","display_name":null,"funder_award_id":"DEAC02\u201305CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"}],"funders":[{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"For":[0],"adaptive":[1],"mirrors":[2,48],"on":[3,117],"X-ray":[4],"beamlines":[5],"and":[6,75,100,121],"optical":[7],"systems,":[8],"we":[9,122],"describe":[10],"a":[11,15,84,139],"strategy":[12],"for":[13,57],"arranging":[14],"small":[16],"number":[17,86],"of":[18,45,70,87,103,143,150],"tangentially":[19],"continuous":[20],"electrodes":[21,66,145],"with":[22,34,138],"varying":[23],"electrode":[24],"widths":[25],"tailored":[26],"to":[27,41,97,112,133],"improve":[28],"mirror":[29],"shape":[30,98],"control.":[31],"This":[32],"approach,":[33],"patterned,":[35],"compound":[36],"electrodes,":[37],"is":[38],"well":[39],"suited":[40],"the":[42,55,68,71,93,125,147],"emerging":[43],"class":[44],"lithium":[46],"niobate":[47],"that":[49],"act":[50],"as":[51],"monolithic":[52],"piezo-bimorphs,":[53],"without":[54],"need":[56],"additional":[58],"bonded":[59],"or":[60],"grown":[61],"actuator":[62],"elements.":[63],"The":[64],"proposed":[65],"span":[67],"length":[69],"mirror's":[72],"clear":[73],"aperture":[74],"have":[76],"width":[77],"profiles":[78],"defined":[79],"by":[80],"polynomial":[81,105],"shapes.":[82],"Using":[83],"limited":[85],"channels":[88],"derived":[89],"from":[90],"Chebyshev":[91],"polynomials,":[92],"actuators":[94],"provide":[95],"access":[96],"controls":[99],"correction":[101],"modes":[102],"increasing":[104],"order.":[106],"We":[107],"derive":[108],"an":[109],"analytic":[110],"approach":[111],"optimize":[113],"control":[114],"voltages":[115],"based":[116],"Euler-Bernoulli":[118],"beam":[119],"theory,":[120],"show":[123],"how":[124],"modeled":[126],"characteristic":[127],"response":[128],"functions":[129],"can":[130],"be":[131],"applied":[132],"fit":[134],"arbitrary":[135],"surfaces.":[136],"Comparison":[137],"conventional,":[140],"linear":[141],"array":[142],"12":[144],"shows":[146],"relative":[148],"benefit":[149],"each":[151],"approach.":[152]},"counts_by_year":[],"updated_date":"2026-10-24T09:50:30.924529","created_date":"2026-09-19T00:00:00"}
