[size=85] Das Applet visualisiert gleichzeitig das Verhalten der komplexen Amplitude (resultierender Schwingungsvektor auf einem Vektordiagramm -Cornu-Spirale) in der Mitte des Bildschirms des Beugungsmusters hinter dem Spalt und das Amplitudenänderungsdiagramm dieses Vektors in Abhängigkeit von der Spaltenbreite. Applet ist in [url=https://www.geogebra.org/m/t2t3mtse]https://www.geogebra.org/m/t2t3mtse[/url].[br][br] Bei der Beschreibung von Nahfeldbeugungsphänomenen in der Fresnel-Näherung wird die komplexe Amplitude des Feldes am Beobachtungspunkt durch das Integral berechnet (nach Real- und Imaginärteil aufgetrennt : C+ ί *S) und als[url=https://mathworld.wolfram.com/FresnelIntegrals.html] Fresnel-Integral[/url] bezeichnet. Bei der numerischen Berechnung des Beugungsintegrals nach dem [url=https://en.wikipedia.org/wiki/Huygens%E2%80%93Fresnel_principle]Huygens-Fresnel-Prinzip[/url] ergeben sich weitere Integrale, die ich in dieser Rechnung "verallgemeinerte" Fresnel-Integrale nenne (siehe [url=https://www.geogebra.org/m/c5rhh2tz]Applet)[/url].[br][img]data:image/png;base64,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[/img] .[br]Die resultierende parametrische Kurve (C, S) wird auch als "verallgemeinerte" [url=https://mathworld.wolfram.com/CornuSpiral.html]Cornu-Spirale[/url] bezeichnet.[/size]