{"id":27819,"date":"2013-12-01T23:42:48","date_gmt":"2013-12-01T22:42:48","guid":{"rendered":"https:\/\/icmsva.vallealto.es\/?articulos_sci=symmetry-analysis-of-the-numerical-instabilities-in-the-transfer-matrix-method"},"modified":"2013-12-01T23:42:48","modified_gmt":"2013-12-01T22:42:48","slug":"symmetry-analysis-of-the-numerical-instabilities-in-the-transfer-matrix-method","status":"publish","type":"articulos_sci","link":"https:\/\/icmsva.vallealto.es\/?articulos_sci=symmetry-analysis-of-the-numerical-instabilities-in-the-transfer-matrix-method","title":{"rendered":"Symmetry analysis of the numerical instabilities in the transfer matrix method"},"content":{"rendered":"<p>This paper discusses the numerical exponential instability of the transfer matrix method (TMM) in the framework of the symmetry formalism. This numerical weakness is attributed to a series of increasingly extreme exponentials that appear in the TMM when it is applied to geometries involving total internal reflection (TIR) or very high absorption. We design a TMM formalism that identifies the internal symmetries of the multilayer geometry. These symmetries suggest particular transformations of a reference system in the TMM that improve its ill-conditioned exponentials. To illustrate the numerical improvements, we present examples with calculations of electric fields.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This paper discusses the numerical exponential instability of the transfer matrix method (TMM) in the framework of the symmetry formalism. This numerical weakness is attributed to a series of increasingly extreme exponentials that appear in the TMM when it is applied to geometries involving total internal reflection (TIR) or very high absorption. We design a&hellip;<\/p>\n","protected":false},"featured_media":0,"template":"","autores":[],"grupos_de_investigacion":[146],"revistas":[4883],"anos":[892],"class_list":["post-27819","articulos_sci","type-articulos_sci","status-publish","hentry","grupos_de_investigacion-materiales-opticos-multifuncionales","revistas-journal-of-optics","anos-892","description-off"],"acf":[],"_links":{"self":[{"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=\/wp\/v2\/articulos_sci\/27819","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=\/wp\/v2\/articulos_sci"}],"about":[{"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=\/wp\/v2\/types\/articulos_sci"}],"version-history":[{"count":0,"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=\/wp\/v2\/articulos_sci\/27819\/revisions"}],"wp:attachment":[{"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27819"}],"wp:term":[{"taxonomy":"autores","embeddable":true,"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fautores&post=27819"},{"taxonomy":"grupos_de_investigacion","embeddable":true,"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fgrupos_de_investigacion&post=27819"},{"taxonomy":"revistas","embeddable":true,"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=%2Fwp%2Fv2%2Frevistas&post=27819"},{"taxonomy":"anos","embeddable":true,"href":"https:\/\/icmsva.vallealto.es\/index.php?rest_route=%2Fwp%2Fv2%2Fanos&post=27819"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}