{"id":1906,"date":"2016-12-02T01:17:20","date_gmt":"2016-12-01T23:17:20","guid":{"rendered":"http:\/\/tayeb.fr\/wordpress\/?p=1906"},"modified":"2016-12-06T19:48:22","modified_gmt":"2016-12-06T17:48:22","slug":"equations","status":"publish","type":"post","link":"https:\/\/tayeb.fr\/wordpress\/2016\/12\/equations\/","title":{"rendered":"Equations"},"content":{"rendered":"<p>J&rsquo;essaie d&rsquo;ins\u00e9rer des \u00e9quations pour voir ce que \u00e7a donne.<br \/>\nJ&rsquo;ai utilis\u00e9 le convertisseur vers WordPress fourni par MathType.<br \/>\n\u00c7a fonctionne \u00e0 peu pr\u00e8s, sauf que l&rsquo;alignement et la taille ne sont pas corrects.<br \/>\nLe texte est le m\u00eame <a href=\"http:\/\/www.fresnel.fr\/spip\/spip.php?article1778\">qu&rsquo;ici. <\/a><\/p>\n<hr \/>\n<p>Comme on peut s&rsquo;en douter, le plasma est inhomog\u00e8ne, anisotrope, et il n&rsquo;existe pas de mat\u00e9riau usuel poss\u00e9dant des caract\u00e9ristiques \u00e9lectromagn\u00e9tiques similaires. On peut n\u00e9anmoins consid\u00e9rer qu&rsquo;en premi\u00e8re approximation la permittivit\u00e9 du plasma est de la forme diagonale suivante<br \/>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cvarepsilon+%3D%7B%7B%5Cvarepsilon+%7D_%7B0%7D%7D%5Cleft%5B+%7B%5Cbegin%7Barray%7D%7B%2A%7B20%7D%7Bc%7D%7D+%7B%7B%7B%5Cvarepsilon+%7D_%7B%5Cbot+%7D%7D%7D+%26+0+%26+0+%5C%5C+0+%26+%7B%7B%7B%5Cvarepsilon+%7D_%7B%5Cbot+%7D%7D%7D+%26+0+%5C%5C+0+%26+0+%26+%7B%7B%7B%5Cvarepsilon+%7D_%7B%7B%2F%2F%7D%7D%7D%7D+%5Cend%7Barray%7D%7D+%5Cright%5D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;varepsilon ={{&#92;varepsilon }_{0}}&#92;left[ {&#92;begin{array}{*{20}{c}} {{{&#92;varepsilon }_{&#92;bot }}} &amp; 0 &amp; 0 &#92;&#92; 0 &amp; {{{&#92;varepsilon }_{&#92;bot }}} &amp; 0 &#92;&#92; 0 &amp; 0 &amp; {{{&#92;varepsilon }_{{\/\/}}}} &#92;end{array}} &#92;right]\" class=\"latex\" \/><\/p>\n<p>o\u00f9 \u00a0<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%7B%7B%5Cvarepsilon+%7D_%7B%5Cbot+%7D%7D%5Capprox+1&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"{{&#92;varepsilon }_{&#92;bot }}&#92;approx 1\" class=\"latex\" \/> et o\u00f9 <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%7B%7B%5Cvarepsilon+%7D_%7B%7B%2F%2F%7D%7D%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"{{&#92;varepsilon }_{{\/\/}}}\" class=\"latex\" \/>\u00a0prend des valeurs n\u00e9gatives (typiquement entre -1 et -10). Dans ces conditions, on parle de mat\u00e9riau \u00ab\u00a0hyperbolique\u00a0\u00bb, par r\u00e9f\u00e9rence \u00e0 la forme de leur courbe de dispersion.<\/p>\n<p>Pour que le champ rayonn\u00e9 par l&rsquo;antenne puisse se propager dans le plasma, il faut que l&rsquo;antenne cr\u00e9e des ondes ayant des composantes spectrales <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%7B%7Bk%7D_%7Bz%7D%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"{{k}_{z}}\" class=\"latex\" \/>\u00a0particuli\u00e8res (sup\u00e9rieures au <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%7B%7Bk%7D_%7B0%7D%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"{{k}_{0}}\" class=\"latex\" \/>\u00a0du vide, et typiquement de l&rsquo;ordre de <img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%7B%7Bk%7D_%7Bz%7D%7D%5Capprox+2%7B%7Bk%7D_%7B0%7D%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"{{k}_{z}}&#92;approx 2{{k}_{0}}\" class=\"latex\" \/>).<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>J&rsquo;essaie d&rsquo;ins\u00e9rer des \u00e9quations pour voir ce que \u00e7a donne. J&rsquo;ai utilis\u00e9 le convertisseur vers WordPress fourni par MathType. \u00c7a fonctionne \u00e0 peu pr\u00e8s, sauf que l&rsquo;alignement et la taille ne sont pas corrects. Le texte est le m\u00eame qu&rsquo;ici. Comme on peut s&rsquo;en douter, le plasma est inhomog\u00e8ne, anisotrope, et il n&rsquo;existe pas de [&hellip;]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[5],"tags":[],"class_list":["post-1906","post","type-post","status-publish","format-standard","hentry","category-informatique"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4nbll-uK","_links":{"self":[{"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/posts\/1906","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/comments?post=1906"}],"version-history":[{"count":7,"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/posts\/1906\/revisions"}],"predecessor-version":[{"id":1917,"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/posts\/1906\/revisions\/1917"}],"wp:attachment":[{"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=1906"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=1906"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tayeb.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=1906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}