{"id":1332,"date":"2018-01-03T11:10:03","date_gmt":"2018-01-03T11:10:03","guid":{"rendered":"http:\/\/www.optowiki.info\/de\/?post_type=encyclopedia&#038;p=1332"},"modified":"2018-01-04T12:43:55","modified_gmt":"2018-01-04T12:43:55","slug":"dispersionsformeln","status":"publish","type":"encyclopedia","link":"https:\/\/www.optowiki.info\/de\/glossar\/dispersionsformeln\/","title":{"rendered":"Dispersionsformeln"},"content":{"rendered":"<p>Jedes optische Material (Gl&auml;ser, Kunststoffe, Gase) hat einen anderen <a href=\"https:\/\/www.optowiki.info\/de\/glossar\/brechungsindex\/\" target=\"_self\" title='Faktor um den die Lichtgeschwindigkeit im aktuellen Medium (z.B. Glas) langsamer ist als im Vakuum. $Brechungsindex = \\frac{Lichtgeschwindigkeit\\ im\\ Vakuum}{Lichtgeschwindigkeit\\ im\\ aktuellen\\ Medium\\ (z.B.\\ Glas)}$ Glas bremst unterschiedliche Wellenl&auml;ngen (\"Farben\") unterschiedlich stark ab. Resultat sind unterschiedliche Brechungsindizes \"je nach Lichtfarbe\". Je h&ouml;her der Brechungsindex, desto st&auml;rke die Richtungs&auml;nderung an der Grenze zwischen zwei Medien Da&hellip;' class=\"encyclopedia\">Brechungsindex<\/a> je Wellenl&auml;nge.<\/p>\n<p>Statt mit gro&szlig;en Tabellenwerken zu arbeiten, ist es m&ouml;glich, dieses Verhalten der optischen Materialien per formel zu beschreiben.<\/p>\n<p>Hier sind die gebr&auml;uchlichsten Formeln:<\/p>\n<p><strong>1: Sellmeier (bevorzugt)<\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-49b6849ab808a9392edf1402efd53ac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n^2-1=C_1 + \\frac{C_2 \\lambda^2}{\\lambda^2-C_3^2}            + \\frac{C_4 \\lambda^2}{\\lambda^2-C_5^2}            + \\frac{C_6 \\lambda^2}{\\lambda^2-C_7^2}            + \\frac{C_8 \\lambda^2}{\\lambda^2-C_9^2}            + \\frac{C_{10} \\lambda^2}{\\lambda^2-C_{11}^2}            + \\frac{C_{12} \\lambda^2}{\\lambda^2-C_{13}^2}            + \\frac{C_{14} \\lambda^2}{\\lambda^2-C_{15}^2}            + \\frac{C_{16} \\lambda^2}{\\lambda^2-C_{17}^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"582\" style=\"vertical-align: -12px;\"><\/p>\n<p><strong>2: Sellmeier-2<\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-a3164dfa65f5d6b8e6b6beb5c44070e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n^2-1=C_1 + \\frac{C_2 \\lambda^2}{\\lambda^2-C_3}            + \\frac{C_4 \\lambda^2}{\\lambda^2-C_5}            + \\frac{C_6 \\lambda^2}{\\lambda^2-C_7}            + \\frac{C_8 \\lambda^2}{\\lambda^2-C_9}            + \\frac{C_{10} \\lambda^2}{\\lambda^2-C_{11}}            + \\frac{C_{12} \\lambda^2}{\\lambda^2-C_{13}}            + \\frac{C_{14} \\lambda^2}{\\lambda^2-C_{15}}            + \\frac{C_{16} \\lambda^2}{\\lambda^2-C_{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"582\" style=\"vertical-align: -9px;\"><\/p>\n<p><strong>3: Polynomial<\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-c7b6b17a6099aab27c37502b9b4e1663_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n^2 = C_1 + C_2 \\lambda^{C_3}            + C_4 \\lambda^{C_5}            + C_6 \\lambda^{C_7}            + C_8 \\lambda^{C_9}            + C_{10} \\lambda^{C_{11}}            + C_{12} \\lambda^{C_{13}}            + C_{14} \\lambda^{C_{15}}            + C_{16} \\lambda^{C_{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"582\" style=\"vertical-align: -4px;\"><\/p>\n<p><strong>4: RefractiveIndex.info <\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-5d5ecefc917d3c2d95287adb4353447d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n^2 = C_1        + \\frac{C_2 \\lambda^{C_3}}{\\lambda^2-{C_4}^{C_5}}       + \\frac{C_6 \\lambda^{C_7}}{\\lambda^2-{C_8}^{C_9}}       + C_{10} \\lambda^{C_{11}}       + C_{12} \\lambda^{C_{13}}       + C_{14} \\lambda^{C_{15}}       + C_{16} \\lambda^{C_{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"28\" width=\"558\" style=\"vertical-align: -10px;\"><\/p>\n<p><strong>5: Cauchy <\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-0d0d98aee6c74a39579a737e22b7be4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n = C_1 + C_2 \\lambda^{C_3}           + C_4 \\lambda^{C_5}           + C_6 \\lambda^{C_7}          + C_8 \\lambda^{C_9}          + C_{10} \\lambda^{C_{11}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"413\" style=\"vertical-align: -4px;\"><\/p>\n<p><strong>6: Gase<\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-381d7daf1677d65adbfe6b7ef7d453ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n-1 = C_1 + \\frac{C_2}{C_3-\\lambda^{-2}}           + \\frac{C_4}{C_5-\\lambda^{-2}}           + \\frac{C_6}{C_7-\\lambda^{-2}}           + \\frac{C_8}{C_9-\\lambda^{-2}}           + \\frac{C_{10}}{C_{11}-\\lambda^{-2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"475\" style=\"vertical-align: -9px;\"><\/p>\n<p><strong>7: Herzberger<\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-94c341cf2f2b3ded3ff13ec1e00e3c79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n = C_1 + \\frac{C_2}{\\lambda^2-0.028}          + C_3 (\\frac{1}{\\lambda^2-0.028})^2          + C_4 \\lambda^2          + C_5 \\lambda^4          + C_6 \\lambda^6\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"440\" style=\"vertical-align: -7px;\"><\/p>\n<p><strong>8: Retro<\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-f5a85e0d2c44ff523d5c98ff2d952bb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\frac{n^2-1}{n^2+2} = C_1 + \\frac{C_2 \\lambda^2}{\\lambda^2-C_3} + C_4 \\lambda^2\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"205\" style=\"vertical-align: -9px;\"><\/p>\n<p><strong>9: Exotisch<\/strong><br>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.optowiki.info\/de\/wp-content\/ql-cache\/quicklatex.com-d863b9efee4f9448e89230837f30dc84_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n^2 = C_1 + \\frac{C_2}{\\lambda^2-C_3}            + \\frac{C_4 (\\lambda-C_5)}{(\\lambda-C_5)^2 + C_6}\" title=\"Rendered by QuickLaTeX.com\" height=\"30\" width=\"234\" style=\"vertical-align: -10px;\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jedes optische Material (Gl\u00e4ser, Kunststoffe, Gase) hat einen anderen Brechungsindex je Wellenl\u00e4nge. Statt mit gro\u00dfen Tabellenwerken zu arbeiten, ist es m\u00f6glich, dieses Verhalten der optischen Materialien per formel zu beschreiben. Hier sind die gebr\u00e4uchlichsten Formeln: 1: Sellmeier (bevorzugt) 2: Sellmeier-2 3: Polynomial 4: RefractiveIndex.info 5: Cauchy 6: Gase 7: Herzberger 8: Retro 9: Exotisch<\/p>\n","protected":false},"author":2,"featured_media":0,"template":"","encyclopedia-tag":[],"class_list":["post-1332","encyclopedia","type-encyclopedia","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/encyclopedia\/1332","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=1332"}],"wp:term":[{"taxonomy":"encyclopedia-tag","embeddable":true,"href":"https:\/\/www.optowiki.info\/de\/wp-json\/wp\/v2\/encyclopedia-tag?post=1332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}