{"id":39331,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/a-numerical-method-for-the-computation-of-guided-waves-in-integrated-optics\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"a-numerical-method-for-the-computation-of-guided-waves-in-integrated-optics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/a-numerical-method-for-the-computation-of-guided-waves-in-integrated-optics\/","title":{"rendered":"A numerical method for the computation of guided waves in integrated optics."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gomez Pedreira M. Dolores <\/strong><\/h2>\n<p>En esta tesis se formula y estudia un nuevo m\u00e9todo num\u00e9rico para el c\u00e1lculo de modos guiados en gu\u00edas de ondas abiertas. Se considera una gu\u00eda obtenida al perturbar una gu\u00eda de referencia estratificada compuesta por una capa central de espesor finito y dos exteriores de espesor infinito, estando la perturbaci\u00f3n confinada en una regi\u00f3n acotada de la capa central. Desde el punto de vista matem\u00e1tico, la determinaci\u00f3n de los modos guiados constituye un problema de autovalores para un operador el\u00edptico autoadjunto de segundo orden planteado en la secci\u00f3n transversal de la gu\u00eda. La dificultad esencial de este problema proviene de la no acotaci\u00f3n del dominio.  el m\u00e9todo propuesto involucra dos reformulaciones del problema y tres aproximaciones num\u00e9ricas. en primer lugar, se transforma el problema original en uno equivalente planteado en las dos interfases entre las capas mediante la introducci\u00f3n de un operador pseudodiferencial que puede ser explicitado parcialmente usando la transformada de fourier y que involucra un problema de contorno auxiliar planteado en la capa central. Seguidamente, se reduce este problema a otro equivalente, planteado en un dominio rectangular contenido en la capa central y que contiene a la perturbaci\u00f3n, usando condiciones de contorno transparentes y series de fourier.  la primera aproximaci\u00f3n es debida al truncamiento de dichas series al orden n; la segunda al truncamiento de las interfases a una distancia finita r y la tercera a la discretizaci\u00f3n final mediante elementos finitos mixtos h\u00edbridos.  en la tesis tambi\u00e9n se analiza la convergencia del m\u00e9todo con respecto a n y r por separado, se describe con detalle la implementaci\u00f3n, se presentan experimentos num\u00e9ricos y se formulan algunas generalizaciones del m\u00e9todo propuesto.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>A numerical method for the computation of guided waves in integrated optics.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 A numerical method for the computation of guided waves in integrated optics. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gomez Pedreira M. Dolores <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1999<\/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>Patrick Joly<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Mar\u00eda Sanz serna <\/li>\n<li> Bonnet ben dhia anne sophie (vocal)<\/li>\n<li>Carlos Moreno gonzalez (vocal)<\/li>\n<li>andreas Kirsch (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gomez Pedreira M. Dolores En esta tesis se formula y estudia un nuevo m\u00e9todo num\u00e9rico para el [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1191,3183,3185,126,1193,977],"tags":[101407,101406,38611,101404,27823,101405],"class_list":["post-39331","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-analisis-y-analisis-funcional","category-ecuaciones-diferenciales-en-derivadas-parciales","category-matematicas","category-resolucion-de-ecuaciones-diferenciales-en-derivadas-parciales","category-santiago-de-compostela","tag-andreas-kirsch","tag-bonnet-ben-dhia-anne-sophie","tag-carlos-moreno-gonzalez","tag-gomez-pedreira-m-dolores","tag-jesus-maria-sanz-serna","tag-patrick-joly"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/39331","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=39331"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/39331\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=39331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=39331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=39331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}