{"id":1346,"date":"2018-02-08T11:00:18","date_gmt":"2018-02-08T11:00:18","guid":{"rendered":"http:\/\/www.optowiki.info\/de\/?post_type=encyclopedia&#038;p=1346"},"modified":"2018-02-08T11:00:18","modified_gmt":"2018-02-08T11:00:18","slug":"petzval-bedingung","status":"publish","type":"encyclopedia","link":"https:\/\/www.optowiki.info\/de\/glossar\/petzval-bedingung\/","title":{"rendered":"Petzval Bedingung"},"content":{"rendered":"<p>see <a href=\"https:\/\/www.optowiki.info\/de\/glossar\/petzval-summe\/\" target=\"_self\" title=\"Im optischen Linsendesign beschreibt die Petzval-Summe die Bildfeldkr&uuml;mmung eines optischen Systems. Die Formel wurde von Josef Maximilian Petzval entwickelt und 1843 ver&ouml;ffentlicht. F&uuml;r eine Reihe d&uuml;nner Linsen gilt : \\[\\frac{1}{r_p} = \\sum \\limits_{i} \\frac{1}{n_i \\cdot f_i} \\] oder allgemeiner : \\[\\frac {1}{r_{p}}=n_{k+1}\\sum \\limits_{i=1}^{k}{\\begin{cases}{\\frac {1}{r_{i}}}\\left({\\frac {1}{n_{i}}}-{\\frac {1}{n_{i+1}}}\\right),&{\\text{refraktive Flaeche}}\\{\\frac {2}{r_{i}}},&{\\text{reflektive Flaeche}}\\end{cases}}\\] wobei:$r_{i}$ : Radius der i'ten Fl&auml;che,&hellip;\" class=\"encyclopedia\">Petzval Summe<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>see Petzval Summe<\/p>\n","protected":false},"author":2,"featured_media":0,"template":"","encyclopedia-tag":[],"class_list":["post-1346","encyclopedia","type-encyclopedia","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/encyclopedia\/1346","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/encyclopedia"}],"about":[{"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/types\/encyclopedia"}],"author":[{"embeddable":true,"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/users\/2"}],"wp:attachment":[{"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/media?parent=1346"}],"wp:term":[{"taxonomy":"encyclopedia-tag","embeddable":true,"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/encyclopedia-tag?post=1346"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}