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[{"key": "dc.contributor.advisor", "value": "Puurtinen, Tuomas", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Lappalainen, Panu", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2021-11-19T07:39:46Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2021-11-19T07:39:46Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2021", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/78714", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 tutkielmassa kehitetty uudenlainen Kalvo-ohjelmisto simuloi monikerroksisten sylinterireik\u00e4hilaisten fononikidekalvojen dispersioita \u00e4\u00e4relliselementtimenetelm\u00e4\u00e4 (FEM) k\u00e4ytt\u00e4en. Havainnollistavan systemaattisen fononikidetutkimuksen simulaatioissa k\u00e4ytettiin nelj\u00e4\u00e4 erilaista laboratoriossa usein k\u00e4ytetty\u00e4 materiaalia: piinitridi\u00e4 (Si3N4), alumiinioksidia (Al2O3), polystyreeni\u00e4 (PS) ja lyijy\u00e4 (Pb). Vastaavan laajuista systemaattista tutkimusta ei ole aiemmin kyetty tekem\u00e4\u00e4n.\n\nAiemmista simulaatioista tunnetaan, ett\u00e4 sylinterireik\u00e4isell\u00e4 Si3N4-fononikiteell\u00e4, jonka t\u00e4ytt\u00f6aste F = 0.7, hilavakio a = 1000 nm ja kalvonpaksuus hSi3N4 = 400 nm, on spektriaukko, jonka suhteellinen koko w/M \u2248 0.202. Osoittautui, ett\u00e4 t\u00e4t\u00e4 spektriaukkoa on mahdollista laajentaa lis\u00e4\u00e4m\u00e4ll\u00e4 kalvoon kerros toista materiaalia. Ohjelmistoa k\u00e4ytt\u00e4en l\u00f6ydettiin uusi rakenne, jolla hilan spektriaukon suh- teelliseksi kooksi saatiin simuloitua \u22480.234 (kun F = 0.7) k\u00e4ytt\u00e4en Si3N4\u2013Al2O3-kaksikerroskalvoa, jonka hSi3N4 = 340 nm ja hAl2O3 = 130 nm. T\u00e4ll\u00e4 materiaalikonfiguraatiolla on spektriaukko vain kun F > 0.58. T\u00e4m\u00e4 spektriaukko laajenee nopeasti t\u00e4ytt\u00f6astetta kasvatettaessa, kunnes F > 0.68, mink\u00e4 j\u00e4lkeen aukon laajanemistahti hidastuu merkitt\u00e4v\u00e4sti. Si3N4-kalvon spektriaukkoa ei saatu laajennet- tua polystyreeni- tai lyijykerroksilla. Fononikiteen dispersiorelaatiot muuttuvat, jos toinen kaksikerroskalvon materiaaleista jaetaan kahtia ymp\u00e4r\u00f6im\u00e4\u00e4n toista materiaalia, eritoten jos jaettava materiaali on j\u00e4ykempi kahdesta. Esimerkiksi Si3N4\u2013PS- ja PS\u2013Si3N4\u2013PS-kalvoilla on spektriaukko, kun hPS:hSi3N4 = 1:10 ja F = 0.7, mutta vastaavalla Si3N4\u2013PS\u2013Si3N4-kalvolla ei.\n\nOhjelmisto osoittautui hy\u00f6dylliseksi monikerroksisten fononikiteiden dispersiorelaatioiden systemaattiseen tutkimukseen.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "This thesis introduces Kalvo, a new type of software developed for simulating the dispersions of multilayered phononic crystal membranes with a cylindrical hole lattice, using the finite element method (FEM). The simulations in a demonstrative systematic study used four different materials commonly used in laboratory: silicon nitride (Si3N4), aluminum oxide (Al2O3), polystyrene (PS) and lead (PS). A systematic study of this scale has not been possible before.\n\nIt is known from prior simulations that a Si3N4 phononic crystal with cylindrical hole lattice, filling factor F = 0.7, lattice constant a = 1000 nm and Si3N4 membrane thickness hSi3N4 = 400 nm, has a relative band gap w/M \u2248 0.202. Using the software, it was found out that this band gap could be increased to \u22480.234 (for F = 0.7), by using a Si3N4\u2013Al2O3 dual layer membrane with hSi3N4 = 340 nm and hAl2O3 = 130 nm. For this configuration of materials, the band gap exists only when F > 0.58. This band gap widens rapidly as filling factor is increased, until F > 0.68, after which the rate of increasing decreases significantly. The Si3N4 membrane\u2019s band gap could not be widened with layers of polystyrene or lead. The band structure of a phononic crystal is changed if one of the materials in a dual layer membrane is distributed into two layers surrounding the other material, especially if the stiffer of the two materials is distributed. For instance, a band gap exists for a Si3N4\u2013PS and PS\u2013Si3N4\u2013PS membranes with hPS to hSi3N4 ratio of 1:10 and F = 0.7, but not for Si3N4\u2013PS\u2013Si3N4.\n\nThe software proved to be useful for systematically studying the band structures of multilayered phononic crystals.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2021-11-19T07:39:46Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2021-11-19T07:39:46Z (GMT). No. of bitstreams: 0\n Previous issue date: 2021", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "73", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "FEM", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "phononic crystal", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "multilayer", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "silicon nitride", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Kalvo", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "A software for simulating dispersive properties of multilayered phononic crystal membranes", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202111195725", "language": "", "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4021", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "hajonta", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "fononit", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "tietokoneohjelmat", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "simulointi", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kiteet", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kalvot (biologia)", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "rakenne (ominaisuudet)", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "simulaattorit", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "dispersion (mathematics and statistics)", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "phonons", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "computer programmes", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "simulation", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "crystals", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "membranes", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "structure (properties)", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "simulators", 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