{"id":"https://openalex.org/W2516804060","doi":"https://doi.org/10.1109/icton.2016.7550309","title":"Vanishing gaps in photonic crystals and other periodic potentials","display_name":"Vanishing gaps in photonic crystals and other periodic potentials","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2516804060","doi":"https://doi.org/10.1109/icton.2016.7550309","mag":"2516804060"},"language":"en","primary_location":{"id":"doi:10.1109/icton.2016.7550309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icton.2016.7550309","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 18th International Conference on Transparent Optical Networks (ICTON)","raw_type":"proceedings-article"},"type":"article","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/A5074078248","display_name":"S. Caffrey","orcid":"https://orcid.org/0000-0001-6820-6409"},"institutions":[{"id":"https://openalex.org/I868834043","display_name":"University of the West of Scotland","ror":"https://ror.org/04w3d2v20","country_code":"GB","type":"education","lineage":["https://openalex.org/I868834043"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"S. Caffrey","raw_affiliation_strings":["Sensors and Imaging, University of the West of Scotland, Paisley, Scotland, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Sensors and Imaging, University of the West of Scotland, Paisley, Scotland, United Kingdom","institution_ids":["https://openalex.org/I868834043"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020862671","display_name":"G. V. Morozov","orcid":"https://orcid.org/0000-0003-3337-4984"},"institutions":[{"id":"https://openalex.org/I868834043","display_name":"University of the West of Scotland","ror":"https://ror.org/04w3d2v20","country_code":"GB","type":"education","lineage":["https://openalex.org/I868834043"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"G. V. Morozov","raw_affiliation_strings":["Sensors and Imaging, University of the West of Scotland, Paisley, Scotland, United Kingdom"],"affiliations":[{"raw_affiliation_string":"Sensors and Imaging, University of the West of Scotland, Paisley, Scotland, United Kingdom","institution_ids":["https://openalex.org/I868834043"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006292128","display_name":"Darryl MacBeath","orcid":null},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. Macbeath","raw_affiliation_strings":["Department of Physics and Astronomy, McMaster University, Hamilton, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, McMaster University, Hamilton, ON, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076881387","display_name":"D. W. L. Sprung","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. W. L. Sprung","raw_affiliation_strings":["McMaster University Michael G DeGroote School of Medicine, Hamilton, ON, CA"],"affiliations":[{"raw_affiliation_string":"McMaster University Michael G DeGroote School of Medicine, Hamilton, ON, CA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074078248"],"corresponding_institution_ids":["https://openalex.org/I868834043"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08081235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10666","display_name":"Photonic Crystals and Applications","score":0.9998000264167786,"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/T10666","display_name":"Photonic Crystals and Applications","score":0.9998000264167786,"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/T10299","display_name":"Photonic and Optical Devices","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11050","display_name":"Photorefractive and Nonlinear Optics","score":0.963100016117096,"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/photonic-crystal","display_name":"Photonic crystal","score":0.8423370122909546},{"id":"https://openalex.org/keywords/floquet-theory","display_name":"Floquet theory","score":0.8145368099212646},{"id":"https://openalex.org/keywords/refractive-index","display_name":"Refractive index","score":0.6602001786231995},{"id":"https://openalex.org/keywords/band-gap","display_name":"Band gap","score":0.5421193242073059},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5136401057243347},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.48728811740875244},{"id":"https://openalex.org/keywords/photonics","display_name":"Photonics","score":0.4725871980190277},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.46077483892440796},{"id":"https://openalex.org/keywords/periodic-potential","display_name":"Periodic potential","score":0.459555983543396},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.4553750455379486},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.44962745904922485},{"id":"https://openalex.org/keywords/photonic-metamaterial","display_name":"Photonic metamaterial","score":0.4211142361164093},{"id":"https://openalex.org/keywords/quasi-periodic","display_name":"Quasi periodic","score":0.41161638498306274},{"id":"https://openalex.org/keywords/optoelectronics","display_name":"Optoelectronics","score":0.3672640919685364},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3497103452682495},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.343645840883255},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3235556483268738},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24996504187583923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13257542252540588},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06810593605041504}],"concepts":[{"id":"https://openalex.org/C75302062","wikidata":"https://www.wikidata.org/wiki/Q900150","display_name":"Photonic crystal","level":2,"score":0.8423370122909546},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.8145368099212646},{"id":"https://openalex.org/C42067758","wikidata":"https://www.wikidata.org/wiki/Q174102","display_name":"Refractive index","level":2,"score":0.6602001786231995},{"id":"https://openalex.org/C181966813","wikidata":"https://www.wikidata.org/wiki/Q806352","display_name":"Band gap","level":2,"score":0.5421193242073059},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5136401057243347},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.48728811740875244},{"id":"https://openalex.org/C20788544","wikidata":"https://www.wikidata.org/wiki/Q467054","display_name":"Photonics","level":2,"score":0.4725871980190277},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.46077483892440796},{"id":"https://openalex.org/C2987821966","wikidata":"https://www.wikidata.org/wiki/Q178825","display_name":"Periodic potential","level":2,"score":0.459555983543396},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.4553750455379486},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.44962745904922485},{"id":"https://openalex.org/C144898412","wikidata":"https://www.wikidata.org/wiki/Q7187869","display_name":"Photonic metamaterial","level":3,"score":0.4211142361164093},{"id":"https://openalex.org/C3019213175","wikidata":"https://www.wikidata.org/wiki/Q7269515","display_name":"Quasi periodic","level":2,"score":0.41161638498306274},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.3672640919685364},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3497103452682495},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.343645840883255},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3235556483268738},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24996504187583923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13257542252540588},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06810593605041504},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icton.2016.7550309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icton.2016.7550309","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 18th International Conference on Transparent Optical Networks (ICTON)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:openaire/e70ffdec-ba70-45fb-830b-fcc7f03fe140","is_oa":false,"landing_page_url":"https://research-portal.uws.ac.uk/en/publications/e70ffdec-ba70-45fb-830b-fcc7f03fe140","pdf_url":null,"source":{"id":"https://openalex.org/S4306402572","display_name":"The UWS Academic Portal (University of the West of Scotland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I868834043","host_organization_name":"University of the West of Scotland","host_organization_lineage":["https://openalex.org/I868834043"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Caffrey, S, Morozov, G V, MacBeath, D & Sprung, D W L 2016, Vanishing gaps in photonic crystals and other periodic potentials. in 18th International Conference on Transparent Optical Networks (ICTON), 2016., Mo.C6.5, IEEE, International Conference on Transparent Optical Networks , Trento, Italy, 10/07/16. https://doi.org/10.1109/ICTON.2016.7550309","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1972554230","https://openalex.org/W1973215902","https://openalex.org/W2028071799","https://openalex.org/W2033448974","https://openalex.org/W2063945312","https://openalex.org/W2074865746","https://openalex.org/W2103358697","https://openalex.org/W2120596052","https://openalex.org/W2398843718","https://openalex.org/W2576355050"],"related_works":["https://openalex.org/W2098859721","https://openalex.org/W2032860861","https://openalex.org/W2260136577","https://openalex.org/W2082676559","https://openalex.org/W2073262447","https://openalex.org/W61760950","https://openalex.org/W2103066299","https://openalex.org/W2261370990","https://openalex.org/W4302011288","https://openalex.org/W4376605046"],"abstract_inverted_index":{"Using":[0],"Floquet-Bloch":[1],"theory,":[2],"we":[3],"find":[4],"incipient":[5],"bands":[6],"(vanishing":[7],"gaps)":[8],"in":[9,27,44],"the":[10,23,28],"band":[11,29],"structures":[12,30],"of":[13,22,31],"one-dimensional":[14],"photonic":[15],"crystals":[16],"with":[17],"a":[18],"piece-wise":[19],"constant":[20],"profile":[21],"refractive":[24],"index,":[25],"and":[26],"continuously":[32],"differentiable":[33],"periodic":[34],"potentials.":[35],"The":[36],"emphasis":[37],"is":[38],"on":[39],"potentials":[40],"that":[41],"allow":[42],"solutions":[43],"an":[45],"exact":[46],"analytical":[47],"form.":[48]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}