[size=85]Räumliche Verteilung der Intensität der resultierenden Schwingung bei der Interferenz von (hier, n=100)-kreisförmigen Wellen([i][color=#1e84cc]mit Dämpfung 1/sqrt(r)[/color][/i]) der gleichen Amplitude und der gleichen Phase, die von einem eindimensionalen Array von Punktquellen emittiert werden.[b] b[sub]λ[/sub]=6[/b]- Spaltenbreite in Wellenlängeneinheiten.[br] Hier ist eine Simulation, die die räumliche Verteilung der Intensität der resultierenden Schwingung berechnet. Eine Beschreibung des Programms finden Sie im [url=https://www.geogebra.org/m/qv9vxsfq]Applet[/url]. Bilder des Beugungsmusters finden Sie im [url=https://www.geogebra.org/m/hr7jnjwt]Applet[/url].[br] Mit dem vorgeschlagenen Applet können Sie die Eigenschaften der entsprechenden 3D-Oberfläche der Schwingungsintensitätsverteilung auf der Wasseroberfläche untersuchen, indem Sie den Testpunkt entlang der Konturdiagrammzeichnung mit unterlegten Farben("[color=#ff7700][i]Heatmap[/i][/color]") verschieben. [br] *Aktivieren Sie das "3D"-Fenster, um die Beugungsfeldintensität sowie den entsprechenden Testpunkt auf dieser Fläche zu beobachten.[br] F1, F2,... "Brennpunkte"-Extreme Intensitätspunkte auf der Spalte-Achse. Die Färbung erfolgt bei der Auswahl der maximalen Amplitude : Amax=A0(F1). [br][i]Berechnungsformeln[/i]:[br][img]data:image/png;base64,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[/img][/size]