{"id":"https://openalex.org/W2033780296","doi":"https://doi.org/10.1364/oe.21.002220","title":"Transport of intensity phase reconstruction to solve the twin image problem in holographic x-ray imaging","display_name":"Transport of intensity phase reconstruction to solve the twin image problem in holographic x-ray imaging","publication_year":2013,"publication_date":"2013-01-23","ids":{"openalex":"https://openalex.org/W2033780296","doi":"https://doi.org/10.1364/oe.21.002220","mag":"2033780296","pmid":"https://pubmed.ncbi.nlm.nih.gov/23389203"},"language":"en","primary_location":{"id":"doi:10.1364/oe.21.002220","doi":"https://doi.org/10.1364/oe.21.002220","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.21.002220","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.21.002220","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022250245","display_name":"Martin Krenkel","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Krenkel","raw_affiliation_strings":["Institut f\u00fcr R\u00f6ntgenphysik, Universit\u00e4t G\u00f6ttingen, Friedrich-Hund-Platz 1, 37077 G\u00f6ttingen, Germany. mkrenke@gwdg.de","Institut fur Rontgenphysik, Universitat Gottingen, Friedrich-Hund-Platz 1, 37077 Gottingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr R\u00f6ntgenphysik, Universit\u00e4t G\u00f6ttingen, Friedrich-Hund-Platz 1, 37077 G\u00f6ttingen, Germany. mkrenke@gwdg.de","institution_ids":["https://openalex.org/I74656192"]},{"raw_affiliation_string":"Institut fur Rontgenphysik, Universitat Gottingen, Friedrich-Hund-Platz 1, 37077 Gottingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111849490","display_name":"M. Bartels","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Bartels","raw_affiliation_strings":["Institut fur Rontgenphysik, Universitat Gottingen, Friedrich-Hund-Platz 1, 37077 Gottingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut fur Rontgenphysik, Universitat Gottingen, Friedrich-Hund-Platz 1, 37077 Gottingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010972337","display_name":"Tim Salditt","orcid":"https://orcid.org/0000-0003-4636-0813","observed_orcids":["https://orcid.org/0000-0003-4636-0813"]},"institutions":[{"id":"https://openalex.org/I74656192","display_name":"University of G\u00f6ttingen","ror":"https://ror.org/01y9bpm73","country_code":"DE","type":"education","lineage":["https://openalex.org/I74656192"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"T. Salditt","raw_affiliation_strings":["Institut fur Rontgenphysik, Universitat Gottingen, Friedrich-Hund-Platz 1, 37077 Gottingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut fur Rontgenphysik, Universitat Gottingen, Friedrich-Hund-Platz 1, 37077 Gottingen, Germany","institution_ids":["https://openalex.org/I74656192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74656192"],"apc_list":{"value":2270,"currency":"USD","value_usd":2270},"apc_paid":{"value":2270,"currency":"USD","value_usd":2270},"fwci":10.5518,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.98910981,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"21","issue":"2","first_page":"2220","last_page":"2220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"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/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"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/T11897","display_name":"Digital Holography and Microscopy","score":0.0005000000237487257,"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/T12613","display_name":"X-ray Diffraction in Crystallography","score":0.0,"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/phase-retrieval","display_name":"phase retrieval","score":0.871999979019165},{"id":"https://openalex.org/keywords/twin-image-problem","display_name":"twin image problem","score":0.9750000238418579},{"id":"https://openalex.org/keywords/fresnel-number","display_name":"Fresnel number","score":0.8209999799728394},{"id":"https://openalex.org/keywords/exit-wave-reconstruction","display_name":"exit wave reconstruction","score":0.8299999833106995},{"id":"https://openalex.org/keywords/phase-objects","display_name":"phase objects","score":0.32899999618530273}],"concepts":[{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.8288326263427734},{"id":"https://openalex.org/C187590223","wikidata":"https://www.wikidata.org/wiki/Q527628","display_name":"Holography","level":2,"score":0.7453733682632446},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.6227784156799316},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.6212355494499207},{"id":"https://openalex.org/C81793267","wikidata":"https://www.wikidata.org/wiki/Q7180962","display_name":"Phase retrieval","level":3,"score":0.5955871939659119},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5560184717178345},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5421503782272339},{"id":"https://openalex.org/C120515352","wikidata":"https://www.wikidata.org/wiki/Q2564580","display_name":"Image plane","level":3,"score":0.5396113395690918},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.49208348989486694},{"id":"https://openalex.org/C78153596","wikidata":"https://www.wikidata.org/wiki/Q7257147","display_name":"Ptychography","level":3,"score":0.4773145616054535},{"id":"https://openalex.org/C166453422","wikidata":"https://www.wikidata.org/wiki/Q1455717","display_name":"Fresnel number","level":3,"score":0.46061110496520996},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4368981719017029},{"id":"https://openalex.org/C50282329","wikidata":"https://www.wikidata.org/wiki/Q2286895","display_name":"Fresnel diffraction","level":3,"score":0.43489718437194824},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.4338294267654419},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.43237069249153137},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.41749900579452515},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30177605152130127},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.29142653942108154},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18642476201057434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14291995763778687},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.12358400225639343},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11048164963722229},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D004867","descriptor_name":"Equipment Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006696","descriptor_name":"Holography","qualifier_ui":"Q000295","qualifier_name":"instrumentation","is_major_topic":true},{"descriptor_ui":"D011857","descriptor_name":"Radiographic Image Interpretation, Computer-Assisted","qualifier_ui":"Q000295","qualifier_name":"instrumentation","is_major_topic":true},{"descriptor_ui":"D011859","descriptor_name":"Radiography","qualifier_ui":"Q000295","qualifier_name":"instrumentation","is_major_topic":true},{"descriptor_ui":"D013382","descriptor_name":"Subtraction Technique","qualifier_ui":"Q000295","qualifier_name":"instrumentation","is_major_topic":true},{"descriptor_ui":"D019544","descriptor_name":"Equipment Failure Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D021621","descriptor_name":"Imaging, Three-Dimensional","qualifier_ui":"Q000295","qualifier_name":"instrumentation","is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1364/oe.21.002220","doi":"https://doi.org/10.1364/oe.21.002220","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.21.002220","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:23389203","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/23389203","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"},{"id":"pmh:oai:bib-pubdb1.desy.de:148477","doi":null,"is_oa":true,"landing_page_url":"https://bib-pubdb1.desy.de/search?p=id:%22PHPPUBDB-26430%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306400383","display_name":"DESY Publication Database (PUBDB) (Deutsches Elektronen-Synchrotron)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801876189","host_organization_name":"Deutsches Elektronen-Synchrotron DESY","host_organization_lineage":["https://openalex.org/I2801876189"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Optics express 21, 2220 (2013). doi:10.1364/OE.21.002220","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/7863","doi":null,"is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/7863","pdf_url":null,"source":{"id":"https://openalex.org/S7407055187","display_name":"GRO","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1364/oe.21.002220","doi":"https://doi.org/10.1364/oe.21.002220","is_oa":true,"landing_page_url":"https://doi.org/10.1364/oe.21.002220","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/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1963483517","https://openalex.org/W1966790515","https://openalex.org/W1977928469","https://openalex.org/W1978467032","https://openalex.org/W1984142302","https://openalex.org/W1991101760","https://openalex.org/W1991810848","https://openalex.org/W1999814372","https://openalex.org/W2001118182","https://openalex.org/W2007593159","https://openalex.org/W2010077879","https://openalex.org/W2014844812","https://openalex.org/W2015517275","https://openalex.org/W2017823842","https://openalex.org/W2018044251","https://openalex.org/W2019951384","https://openalex.org/W2020616936","https://openalex.org/W2027054814","https://openalex.org/W2031794494","https://openalex.org/W2038448425","https://openalex.org/W2058035744","https://openalex.org/W2066043842","https://openalex.org/W2075314521","https://openalex.org/W2081321639","https://openalex.org/W2087599743","https://openalex.org/W2107229177","https://openalex.org/W2115227682","https://openalex.org/W2121039355","https://openalex.org/W2137089455","https://openalex.org/W2142798113","https://openalex.org/W2144334141","https://openalex.org/W2150755724","https://openalex.org/W2159281695"],"related_works":["https://openalex.org/W2028037269","https://openalex.org/W2144334141","https://openalex.org/W3158248662","https://openalex.org/W2133542702","https://openalex.org/W2095502349","https://openalex.org/W1524685900","https://openalex.org/W2013193209","https://openalex.org/W1981185638","https://openalex.org/W1971283680","https://openalex.org/W2021486461"],"abstract_inverted_index":{"We":[0,40],"have":[1],"implemented":[2],"a":[3,63,67,86,93],"deterministic":[4],"method":[5],"for":[6,85],"solving":[7],"the":[8,18,26,49,54,58,71],"phase":[9,23,75],"problem":[10],"in":[11,25,48,57],"hard":[12,95],"x-ray":[13,96],"in-line":[14],"holography":[15],"which":[16],"overcomes":[17],"twin":[19],"image":[20],"problem.":[21],"The":[22],"distribution":[24],"detector":[27],"plane":[28,51],"is":[29,77],"retrieved":[30],"by":[31],"using":[32],"two":[33],"images":[34],"with":[35],"slightly":[36],"different":[37],"Fresnel":[38],"numbers.":[39],"then":[41],"use":[42],"measured":[43],"intensities":[44],"and":[45],"reconstructed":[46],"phases":[47],"detection":[50],"to":[52],"compute":[53],"exit":[55],"wave":[56],"sample":[59],"plane.":[60],"No":[61],"further":[62],"priori":[64],"information":[65],"like":[66],"limited":[68],"support":[69],"or":[70],"assumption":[72],"of":[73,89],"pure":[74],"objects":[76],"necessary":[78],"so":[79],"that":[80],"it":[81],"can":[82],"be":[83],"used":[84],"wide":[87],"range":[88],"complex":[90],"samples.":[91],"Using":[92],"nano-focused":[94],"beam":[97],"half":[98],"period":[99],"resolutions":[100],"better":[101],"than":[102],"30":[103],"nm":[104],"are":[105],"achieved.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":4}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}