{"id":"https://openalex.org/W4385451593","doi":"https://doi.org/10.1109/idt59031.2023.10194399","title":"Approximation of the Boundary Trajectory of a Short-Focus Electron Beam using Third-Order Root-Polynomial Functions and Recurrent Matrixes Approach","display_name":"Approximation of the Boundary Trajectory of a Short-Focus Electron Beam using Third-Order Root-Polynomial Functions and Recurrent Matrixes Approach","publication_year":2023,"publication_date":"2023-06-22","ids":{"openalex":"https://openalex.org/W4385451593","doi":"https://doi.org/10.1109/idt59031.2023.10194399"},"language":"en","primary_location":{"id":"doi:10.1109/idt59031.2023.10194399","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idt59031.2023.10194399","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 International Conference on Information and Digital Technologies (IDT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5035670477","display_name":"Igor Melnyk","orcid":"https://orcid.org/0000-0003-0220-0615"},"institutions":[{"id":"https://openalex.org/I202483615","display_name":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d","ror":"https://ror.org/00syn5v21","country_code":"UA","type":"education","lineage":["https://openalex.org/I202483615"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Igor Melnyk","raw_affiliation_strings":["Igor Sikorsky KPI,Electronic Faculty,Department of Electronic Devices and Systems,Kyiv,Ukraine","Department of Electronic Devices and Systems, Electronic Faculty, Igor Sikorsky KPI, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Igor Sikorsky KPI,Electronic Faculty,Department of Electronic Devices and Systems,Kyiv,Ukraine","institution_ids":["https://openalex.org/I202483615"]},{"raw_affiliation_string":"Department of Electronic Devices and Systems, Electronic Faculty, Igor Sikorsky KPI, Kyiv, Ukraine","institution_ids":["https://openalex.org/I202483615"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068406931","display_name":"Serhii Tuhai","orcid":"https://orcid.org/0000-0001-7646-1979"},"institutions":[{"id":"https://openalex.org/I202483615","display_name":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d","ror":"https://ror.org/00syn5v21","country_code":"UA","type":"education","lineage":["https://openalex.org/I202483615"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Serhii Tuhai","raw_affiliation_strings":["Igor Sikorsky KPI,Electronic Faculty,Department of Electronic Devices and Systems,Kyiv,Ukraine","Department of Electronic Devices and Systems, Electronic Faculty, Igor Sikorsky KPI, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Igor Sikorsky KPI,Electronic Faculty,Department of Electronic Devices and Systems,Kyiv,Ukraine","institution_ids":["https://openalex.org/I202483615"]},{"raw_affiliation_string":"Department of Electronic Devices and Systems, Electronic Faculty, Igor Sikorsky KPI, Kyiv, Ukraine","institution_ids":["https://openalex.org/I202483615"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002262342","display_name":"Mykhailo Skrypka","orcid":"https://orcid.org/0009-0006-7142-5569"},"institutions":[{"id":"https://openalex.org/I202483615","display_name":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d","ror":"https://ror.org/00syn5v21","country_code":"UA","type":"education","lineage":["https://openalex.org/I202483615"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Mykhailo Skrypka","raw_affiliation_strings":["Igor Sikorsky KPI,Electronic Faculty,Department of Electronic Devices and Systems,Kyiv,Ukraine","Department of Electronic Devices and Systems, Electronic Faculty, Igor Sikorsky KPI, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Igor Sikorsky KPI,Electronic Faculty,Department of Electronic Devices and Systems,Kyiv,Ukraine","institution_ids":["https://openalex.org/I202483615"]},{"raw_affiliation_string":"Department of Electronic Devices and Systems, Electronic Faculty, Igor Sikorsky KPI, Kyiv, Ukraine","institution_ids":["https://openalex.org/I202483615"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048662398","display_name":"Alina Pochynok","orcid":"https://orcid.org/0000-0001-9531-7593"},"institutions":[{"id":"https://openalex.org/I202483615","display_name":"National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d","ror":"https://ror.org/00syn5v21","country_code":"UA","type":"education","lineage":["https://openalex.org/I202483615"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Alina Pochynok","raw_affiliation_strings":["Igor Sikorsky KPI, Research Institute of Electronics and Microsystems Engineering,Kyiv,Ukraine","Igor Sikorsky KPI, Research Institute of Electronics and Microsystems Engineering, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Igor Sikorsky KPI, Research Institute of Electronics and Microsystems Engineering,Kyiv,Ukraine","institution_ids":["https://openalex.org/I202483615"]},{"raw_affiliation_string":"Igor Sikorsky KPI, Research Institute of Electronics and Microsystems Engineering, Kyiv, Ukraine","institution_ids":["https://openalex.org/I202483615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091466046","display_name":"Dmytro Kovalchuk","orcid":"https://orcid.org/0000-0001-9016-097X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dmytro Kovalchuk","raw_affiliation_strings":["Joint Stock Company, Scientific and Industrial Association &#x201C;Chervona Hvylia&#x201D;,Kyiv,Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Joint Stock Company, Scientific and Industrial Association &#x201C;Chervona Hvylia&#x201D;,Kyiv,Ukraine","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.204,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.97160179,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"133","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11175","display_name":"Gyrotron and Vacuum Electronics Research","score":0.9993000030517578,"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/T11175","display_name":"Gyrotron and Vacuum Electronics Research","score":0.9993000030517578,"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/T11920","display_name":"Pulsed Power Technology Applications","score":0.9987000226974487,"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/T10099","display_name":"GaN-based semiconductor devices and materials","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/polynomial","display_name":"Polynomial","score":0.6515272259712219},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.5775042176246643},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5275881886482239},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5239289402961731},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5181859135627747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4854143559932709},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4689442813396454},{"id":"https://openalex.org/keywords/cathode-ray","display_name":"Cathode ray","score":0.4492819607257843},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42229756712913513},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40031933784484863},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36950480937957764},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.20570573210716248},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1555582880973816}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6515272259712219},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.5775042176246643},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5275881886482239},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5239289402961731},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5181859135627747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4854143559932709},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4689442813396454},{"id":"https://openalex.org/C95312477","wikidata":"https://www.wikidata.org/wiki/Q207340","display_name":"Cathode ray","level":3,"score":0.4492819607257843},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42229756712913513},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40031933784484863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36950480937957764},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.20570573210716248},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1555582880973816},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/idt59031.2023.10194399","is_oa":false,"landing_page_url":"https://doi.org/10.1109/idt59031.2023.10194399","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 International Conference on Information and Digital Technologies (IDT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W386618884","https://openalex.org/W563452365","https://openalex.org/W1237657175","https://openalex.org/W1515658959","https://openalex.org/W1572674223","https://openalex.org/W1575791353","https://openalex.org/W1584270973","https://openalex.org/W1647166007","https://openalex.org/W1672666614","https://openalex.org/W2058739013","https://openalex.org/W2465061127","https://openalex.org/W2794261992","https://openalex.org/W2946008162","https://openalex.org/W2965783397","https://openalex.org/W2997164695","https://openalex.org/W3021453441","https://openalex.org/W3022471994","https://openalex.org/W3083296632","https://openalex.org/W3117910507","https://openalex.org/W3202338884","https://openalex.org/W4210878634","https://openalex.org/W4255449054","https://openalex.org/W6630621058","https://openalex.org/W6685098466"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W1941703695","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W4248382324","https://openalex.org/W3023605104","https://openalex.org/W2039473718","https://openalex.org/W2387529410","https://openalex.org/W2147052742","https://openalex.org/W2133690079"],"abstract_inverted_index":{"A":[0],"new":[1],"approach":[2],"for":[3,56],"approximating":[4],"the":[5,11,26,34,58,76,79,84],"ravine":[6],"function,":[7],"which":[8],"corresponds":[9],"to":[10],"boundary":[12,59],"trajectory":[13],"of":[14,25,29,52,61,75,78],"a":[15,45],"short-focus":[16],"electron":[17,62,70],"beam,":[18],"propagated":[19],"in":[20,33],"ionized":[21],"gas":[22],"with":[23],"compensation":[24],"space":[27],"charge":[28],"electrons,":[30],"is":[31,38,54],"proposed":[32,50],"paper.":[35],"The":[36,49],"algorithm":[37,51],"based":[39],"on":[40],"applying":[41],"root-polynomial":[42,87],"functions":[43,88],"and":[44],"recurrent":[46],"matrix":[47],"approach.":[48],"approximation":[53,77],"suitable":[55],"defining":[57],"trajectories":[60],"beams,":[63],"formed":[64],"by":[65,82],"high":[66],"voltage":[67],"glow":[68],"discharge":[69],"guns.":[71],"Test":[72],"numerical":[73],"experiments":[74],"experimental":[80],"data":[81],"using":[83],"third":[85],"order":[86],"are":[89],"also":[90],"considered.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
