{"id":425,"date":"2013-06-19T11:54:03","date_gmt":"2013-06-19T09:54:03","guid":{"rendered":"https:\/\/samovar2022.int-evry.fr\/index.php\/2013\/06\/19\/modelisation-dantennes-et-de-systemes-focaux-par-decomposition-sur-une-famille-de-faisceaux-gaussiens\/"},"modified":"2020-09-04T18:46:57","modified_gmt":"2020-09-04T16:46:57","slug":"modelisation-dantennes-et-de-systemes-focaux-par-decomposition-sur-une-famille-de-faisceaux-gaussiens","status":"publish","type":"post","link":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/2013\/06\/19\/modelisation-dantennes-et-de-systemes-focaux-par-decomposition-sur-une-famille-de-faisceaux-gaussiens\/","title":{"rendered":"\u00ab\u00a0Mod\u00e9lisation d\u2019antennes et de syst\u00e8mes focaux par d\u00e9composition sur une famille de faisceaux gaussiens\u00a0\u00bb"},"content":{"rendered":"<p>soutenance de th\u00e8se d&rsquo;Igor Francisco Arias Lopez, intitul\u00e9e:<\/p>\n<p><strong> \u00ab\u00a0Mod\u00e9lisation d\u2019antennes et de syst\u00e8mes focaux par d\u00e9composition sur une famille de faisceaux gaussiens\u00a0\u00bb<\/strong>,<\/p>\n<p>le Mercredi <strong>26 Juin<\/strong> 2013 \u00e0 <strong>14h00<\/strong> \u00e0 T\u00e9l\u00e9com SudParis, <strong>salle C06.<\/strong><\/p>\n<p><strong>Le jury sera compos\u00e9 de :<\/strong><\/p>\n<p>&#8211; Rapporteur : Rapha\u00ebl Gillard, Professeur, INSA\/IETR, Rennes<\/p>\n<p>&#8211; Examinateur : Marc H\u00e9lier, Professeur, Universit\u00e9 Pierre et Marie Curie, Paris<\/p>\n<p>&#8211; Examinateur : Alexandre Chabory, M\/C, ENAC \/ TELECOM-EMA, Toulouse<\/p>\n<p>&#8211; Examinateur : Gilles Beauquet, Ing\u00e9nieur-expert, Thales Air Systems, Limours<\/p>\n<p>&#8211; Directeur de th\u00e8se : Christine Letrou, Professeur, T\u00e9l\u00e9com SudParis, Evry<\/p>\n<p><strong>R\u00e9sum\u00e9 :<\/strong><\/p>\n<p>Dans certains contextes, les m\u00e9thodes classiques utilis\u00e9es pour le calcul de champs rayonn\u00e9s ou dif-<br \/>\nfract\u00e9s en pr\u00e9sence d\u2019obstacles de grande taille par rapport \u00e0 la longueur d\u2019onde, comme l\u2019Optique<br \/>\nPhysique ou les m\u00e9thodes de rayons, ne sont pas valides ou deviennent tr\u00e8s lourdes en temps de calcul.<br \/>\nLa th\u00e9orie des frames de Gabor fournit un cadre rigoureux permettant de d\u00e9composer une distri-<br \/>\nbution de sources \u00e9lectromagn\u00e9tiques, d\u00e9finie dans une ouverture \u00e9quivalente plane, en une somme<br \/>\nplus ou moins redondante de fen\u00eatres gaussiennes. Cette d\u00e9composition peut servir de base \u00e0 des al-<br \/>\ngorithmes de lancer de faisceaux gaussiens.<\/p>\n<p>Jusqu\u2019\u00e0 pr\u00e9sent cette th\u00e9orie \u00e9tait limit\u00e9e \u00e0 des d\u00e9compositions dans un plan (rayonnement dans<br \/>\nun demi-espace).<\/p>\n<p>L\u2019objet de cette th\u00e8se est d\u2019utiliser cette th\u00e9orie pour d\u00e9composer des champs rayonn\u00e9s ou diffract\u00e9s<br \/>\ndans toutes les directions de l\u2019espace.<br \/>\nCe travail de th\u00e8se commence par une \u00e9tude approfondie de l\u2019influence des param\u00e8tres utilis\u00e9s pour le<br \/>\ncalcul des coefficients de frame. La mise en \u0153uvre num\u00e9rique permet de tester l\u2019efficacit\u00e9 de techniques<br \/>\nde troncation et de compression en termes de compromis pr\u00e9cision\/temps de calcul.<\/p>\n<p>Le c\u0153ur de la th\u00e8se consiste en une m\u00e9thode originale de partitionnement spectral, utilisant des<br \/>\nfonctions de partition de l\u2019unit\u00e9, qui permet d\u2019utiliser le lancer de faisceaux gaussiens \u00e0 partir de<br \/>\nframes d\u00e9finis dans six plans, pour un rayonnement dans tout l\u2019espace tridimensionnel. <\/p>\n<p>La formulation<br \/>\nde la m\u00e9thode est pr\u00e9sent\u00e9e. Elle est appliqu\u00e9e \u00e0 la d\u00e9composition en faisceaux gaussiens du champ<br \/>\nrayonn\u00e9 par des antennes th\u00e9oriques omnidirectionnelles (r\u00e9seau de dip\u00f4les et dip\u00f4le demi-onde). <\/p>\n<p>Une<br \/>\nantenne r\u00e9aliste sert enfin de cas test pour la mise en \u0153uvre de la d\u00e9composition \u00e0 partir de donn\u00e9es<br \/>\nexp\u00e9rimentales discr\u00e8tes.<\/p>\n<p><strong>Abstract :<\/strong><\/p>\n<p>In some contexts, conventional methods used for large problems involving radiated or diffracted field<br \/>\ncomputations in the presence of obstacles, such as Physical Optics and ray based methods, become<br \/>\nreally inaccurate or prohibitively time-consuming.<br \/>\nGabor frame theory provides a rigorous framework for the initial decomposition of equivalent source<br \/>\ndistributions into a redundant set of Gaussian windows. Frame decomposition has been introduced as<br \/>\na first discretization step into Gaussian Beam Shooting (GBS) algorithms.<br \/>\nUntil now, frame decomposition has essentially been restricted to planar source distributions, ra-<br \/>\ndiating into one half space.<br \/>\nThe main goal of this thesis is to extend the application range of this theory to radiated or dif-<br \/>\nfracted field decomposition into Gaussian beams propagating into the whole space.<br \/>\nThe thesis begins with a thorough study of influence of the parameters used for frame coefficient<br \/>\ncalculation. Numerical implementation is used to test the efficiency of truncation and compression<br \/>\ntechniques in terms of accuracy \/ computation time balance optimization.<br \/>\nThe core of the thesis consists of an original spectral domain partitioning method involving parti-<br \/>\ntion of unity functions, which allows to use Gaussian beam shooting from frames defined in six planes,<br \/>\nfor radiation into the whole three-dimensional space. The formulation of the method is presented and<br \/>\napplied to the decomposition of fields radiated by theoretical omnidirectional antennas (dipole array<br \/>\nand half-wave dipole) into Gaussian beams. A realistic antenna is used as a test case for the imple-<br \/>\nmentation of decompositions based on experimental discrete initial data.<\/p>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>soutenance de th\u00e8se d&rsquo;Igor Francisco Arias Lopez, intitul\u00e9e: \u00ab\u00a0Mod\u00e9lisation d\u2019antennes et de syst\u00e8mes focaux par d\u00e9composition sur une famille de faisceaux gaussiens\u00a0\u00bb, le Mercredi 26 Juin 2013 \u00e0 14h00 \u00e0 T\u00e9l\u00e9com SudParis, salle C06. Le jury sera compos\u00e9 de : &#8211; Rapporteur : Rapha\u00ebl Gillard, Professeur, INSA\/IETR, Rennes &#8211; Examinateur : Marc H\u00e9lier, Professeur, Universit\u00e9 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[400],"tags":[],"class_list":["post-425","post","type-post","status-publish","format-standard","hentry","category-theses-2013-fr","entry"],"_links":{"self":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts\/425","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/comments?post=425"}],"version-history":[{"count":1,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts\/425\/revisions"}],"predecessor-version":[{"id":1851,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts\/425\/revisions\/1851"}],"wp:attachment":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/media?parent=425"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/categories?post=425"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/tags?post=425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}