{"id":93471,"date":"2018-03-11T10:12:53","date_gmt":"2018-03-11T10:12:53","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/haces-complejos-espectro-regularizacion-y-aplicacion-a-problemas-de-dispersion\/"},"modified":"2018-03-11T10:12:53","modified_gmt":"2018-03-11T10:12:53","slug":"haces-complejos-espectro-regularizacion-y-aplicacion-a-problemas-de-dispersion","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/electromagnetismo\/haces-complejos-espectro-regularizacion-y-aplicacion-a-problemas-de-dispersion\/","title":{"rendered":"Haces complejos: espectro, regularizaci\u00f3n y aplicaci\u00f3n a problemas de dispersi\u00f3n"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ra\u00fal Mahillo Isla <\/strong><\/h2>\n<p>Esta tesis aporta las siguientes contribuciones sobre la extensi\u00f3n compleja de soluciones de la ecuaci\u00f3n de helmholtz. En primer lugar, se estudia el espectro angular de onda plana de la extensi\u00f3n compleja de la soluci\u00f3n a un problema de radiaci\u00f3n gen\u00e9rico. En particular, se obtiene y analiza el espectro angular de onda plana de los haces complejos 2d y 3d. El espectro obtenido se utiliza para estudiar las caracter\u00edsticas de radiaci\u00f3n y las fuentes equivalentes de estas soluciones. Asimismo, se comparan los haces complejos con soluciones m\u00e1s convencionales como son los haces gaussianos y se establecen relaciones entre las mismas teniendo en cuenta las implicaciones de la condici\u00f3n paraxial desde el punto de vista del espectro angular de onda plana. El espectro angular de onda plana de los haces complejos permite formular de forma exacta algunos problemas de dispersi\u00f3n con dichos haces. En este trabajo se plantea el problema de sommerfeld, que s\u00f3lo hab\u00eda sido estudiado para este tipo de onda incidente mediante el m\u00e9todo de la fuente puntual compleja. De este modo, se da una alternativa de an\u00e1lisis que proporciona nueva informaci\u00f3n sobre la soluci\u00f3n. Nuestro an\u00e1lisis basado en el espectro angular de onda plana resulta m\u00e1s transparente y permite una comprensi\u00f3n m\u00e1s profunda de los resultados que el basado en el m\u00e9todo de la fuente puntual compleja.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Haces complejos: espectro, regularizaci\u00f3n y aplicaci\u00f3n a problemas de dispersi\u00f3n<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Haces complejos: espectro, regularizaci\u00f3n y aplicaci\u00f3n a problemas de dispersi\u00f3n <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ra\u00fal Mahillo Isla <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/05\/2009<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Mar\u00eda Jes\u00fas Gonz\u00e1lez Morales<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carlos Dehesa mart\u00ednez <\/li>\n<li>Emilio Gago ribas (vocal)<\/li>\n<li>Francisco Mesa ledesma (vocal)<\/li>\n<li>angel Mar\u00eda Bravo santos (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ra\u00fal Mahillo Isla Esta tesis aporta las siguientes contribuciones sobre la extensi\u00f3n compleja de soluciones de la [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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