{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/106023"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/106023","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Phase-space analysis of wave propagation in homogeneous dispersive media and its relationship to catastrophe theory","abstract":"A phase-space asymptotic approach to wave propagation in homogeneous dispersive media is discussed which has several advantages by comparison to conventional techniques, such as the stationary phase method, ordinary ray tracing, etc. This approach, which is based on the wave-kinetic theory, <sup>7/8</sup> is used to examine in detail three types of one-dimensional canonic dispersive media: cubic, quintic and sinusoidal. The analysis is also carried out using standard Fourier techniques for comparison purposes. Lastly, a link is made between the wave-kinetic method and integrals appearing in catastrophe theory. <sup>10/11</sup>","abstract_html":"A phase-space asymptotic approach to wave propagation in homogeneous dispersive media is discussed which has several advantages by comparison to conventional techniques, such as the stationary phase method, ordinary ray tracing, etc. This approach, which is based on the wave-kinetic theory, &lt;sup&gt;7/8&lt;/sup&gt; is used to examine in detail three types of one-dimensional canonic dispersive media: cubic, quintic and sinusoidal. The analysis is also carried out using standard Fourier techniques for comparison purposes. Lastly, a link is made between the wave-kinetic method and integrals appearing in catastrophe theory. &lt;sup&gt;10/11&lt;/sup&gt;","abstract_has_math":false,"creators":["Sockell, Michael Elliot"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"M.S.","degree_level":"masters","degree_discipline":"Electrical Engineering","degree_department":"Electrical Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1983,"date_issued":"1983","date_published":"1983","updated_at":"2026-07-22T22:20:29Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/106023","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Electrical Engineering"]},{"key":"dc:creator","label":"Author","values":["Sockell, Michael Elliot"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2021-10-26T20:09:51Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2021-10-26T20:09:51Z"]},{"key":"dc:date.issued","label":"Date","values":["1983"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/106023"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A phase-space asymptotic approach to wave propagation in homogeneous dispersive media is discussed which has several advantages by comparison to conventional techniques, such as the stationary phase method, ordinary ray tracing, etc. This approach, which is based on the wave-kinetic theory, <sup>7/8</sup> is used to examine in detail three types of one-dimensional canonic dispersive media: cubic, quintic and sinusoidal. The analysis is also carried out using standard Fourier techniques for comparison purposes. Lastly, a link is made between the wave-kinetic method and integrals appearing in catastrophe theory. <sup>10/11</sup>"]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M.S."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Phase-space analysis of wave propagation in homogeneous dispersive media and its relationship to catastrophe theory"]}]}],"canonical_facts":{"dc:contributor.department":["Electrical Engineering"],"dc:creator":["Sockell, Michael Elliot"],"dc:date.accessioned":["2021-10-26T20:09:51Z"],"dc:date.available":["2021-10-26T20:09:51Z"],"dc:date.issued":["1983"],"dc:description.abstract":["A phase-space asymptotic approach to wave propagation in homogeneous dispersive media is discussed which has several advantages by comparison to conventional techniques, such as the stationary phase method, ordinary ray tracing, etc. This approach, which is based on the wave-kinetic theory, <sup>7/8</sup> is used to examine in detail three types of one-dimensional canonic dispersive media: cubic, quintic and sinusoidal. The analysis is also carried out using standard Fourier techniques for comparison purposes. Lastly, a link is made between the wave-kinetic method and integrals appearing in catastrophe theory. <sup>10/11</sup>"],"dc:description.degree":["M.S."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/106023"],"dc:language.iso":["en"],"dc:publisher":["Virginia Polytechnic Institute and State University"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Phase-space analysis of wave propagation in homogeneous dispersive media and its relationship to catastrophe theory"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["masters"],"thesis:degree_name":["M.S."],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:20:29Z"}