{"id":"https://openalex.org/W2073564762","doi":"https://doi.org/10.1016/0030-4018(77)90292-9","title":"Degree of polarization and the principal idempotents of the coherency matrix","display_name":"Degree of polarization and the principal idempotents of the coherency matrix","publication_year":1977,"publication_date":"1977-11-01","ids":{"openalex":"https://openalex.org/W2073564762","doi":"https://doi.org/10.1016/0030-4018(77)90292-9","mag":"2073564762"},"language":"en","primary_location":{"id":"doi:10.1016/0030-4018(77)90292-9","doi":"https://doi.org/10.1016/0030-4018(77)90292-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0030-4018(77)90292-9","pdf_url":null,"source":{"id":"https://openalex.org/S186881120","display_name":"Optics Communications","issn_l":"0030-4018","issn":["0030-4018","1873-0310"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Communications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049000988","display_name":"Richard G. Barakat","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard Barakat","raw_affiliation_strings":["Bolt Beranek and Newman Inc., Cambridge, Massachusetts 02138, USA","Division of Engineering and Applied Physics, Harvard University, Cambridge, Massachusetts 02138, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolt Beranek and Newman Inc., Cambridge, Massachusetts 02138, USA","institution_ids":[]},{"raw_affiliation_string":"Division of Engineering and Applied Physics, Harvard University, Cambridge, Massachusetts 02138, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049000988"],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":109,"citation_normalized_percentile":{"value":0.19968102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"23","issue":"2","first_page":"147","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12050","display_name":"Optical Polarization and Ellipsometry","score":0.9980000257492065,"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/T12050","display_name":"Optical Polarization and Ellipsometry","score":0.9980000257492065,"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":0.00019999999494757503,"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/T12748","display_name":"Molecular spectroscopy and chirality","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/degree-of-polarization","display_name":"degree of polarization","score":0.9570000171661377},{"id":"https://openalex.org/keywords/coherence-matrix","display_name":"coherency matrix","score":0.9860000014305115},{"id":"https://openalex.org/keywords/idempotent-decomposition","display_name":"idempotent decomposition","score":0.9129999876022339},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.8450000286102295},{"id":"https://openalex.org/keywords/generalized-stokes-parameters","display_name":"generalized Stokes parameters","score":0.7760000228881836},{"id":"https://openalex.org/keywords/plane-waves","display_name":"plane waves","score":0.7160000205039978},{"id":"https://openalex.org/keywords/scalar-invariants","display_name":"scalar invariants","score":0.9210000038146973},{"id":"https://openalex.org/keywords/polarization","display_name":"polarization","score":0.46299999952316284}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8130278587341309},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.6491405963897705},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6483563184738159},{"id":"https://openalex.org/C194118358","wikidata":"https://www.wikidata.org/wiki/Q5251843","display_name":"Degree of polarization","level":3,"score":0.6170194149017334},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5276904106140137},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.50452721118927},{"id":"https://openalex.org/C188141570","wikidata":"https://www.wikidata.org/wiki/Q1192058","display_name":"Stokes parameters","level":3,"score":0.4618699848651886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45673203468322754},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.4407438039779663},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4306764602661133},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4172707796096802},{"id":"https://openalex.org/C161326058","wikidata":"https://www.wikidata.org/wiki/Q7245073","display_name":"Principal axis theorem","level":2,"score":0.41008222103118896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3303110599517822},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2508079409599304},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19933965802192688},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.13303977251052856},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.06283044815063477},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0030-4018(77)90292-9","doi":"https://doi.org/10.1016/0030-4018(77)90292-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0030-4018(77)90292-9","pdf_url":null,"source":{"id":"https://openalex.org/S186881120","display_name":"Optics Communications","issn_l":"0030-4018","issn":["0030-4018","1873-0310"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optics Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1666853924","https://openalex.org/W1968532072","https://openalex.org/W1973787174","https://openalex.org/W1980395507","https://openalex.org/W2004766531","https://openalex.org/W2013737143","https://openalex.org/W2031471651","https://openalex.org/W2050705607","https://openalex.org/W2057048016","https://openalex.org/W2058243270","https://openalex.org/W2154136024","https://openalex.org/W3022136271","https://openalex.org/W4235437877"],"related_works":["https://openalex.org/W2057048016","https://openalex.org/W2078953644","https://openalex.org/W3033009429","https://openalex.org/W2031471651","https://openalex.org/W1980395507","https://openalex.org/W2990750504","https://openalex.org/W2025130720","https://openalex.org/W4293241246","https://openalex.org/W2047300681","https://openalex.org/W1983600882"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2016-06-24T00:00:00"}