Physik unserer Umwelt: Die Atmosphäre by Professor Dr. Walter Roedel (auth.)

By Professor Dr. Walter Roedel (auth.)

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Der schrage Einfall auf die waagrechte Oberflache des Volumenelementes erfordert noch die Multiplikation der FluBdichte mit dem Faktor cos (), so daB sich als Integral iiber die Einheitshalbkugel JJ I 2" ,,/2 ( ) exp - t(ZI, Z2) . cos () . sin () . d{) . d

als Oberflachene1ement ergibt. Uber die Substitution 1 . s = - - mIt cos () sin () dS=--'d{) cos 2 () (1. 77) erhalt man, nach DurchfUhrung der Integration iiber

Dx. 67) Ein Teil dieser gestreuten Leistung gelangt in das Auge des Beobachters. Urn diesen Anteil zu berechnen, miissen wir erstens beriicksichtigen, daB von dem streuenden Volumen aus die Augenpupille mit der Pupillenflache a einen Raumwinkel a/x2 aufspannt, dem die von dem Auge empfangene Leistung proportional ist, und zweitens, daB das in Richtung Auge gestreute Licht der Extinktion unterliegt. Damit erhalten wir fUr die vom Auge empfangene Leistung dPa dPa = C3' dPs ' a -2 . x exp (-Ke ' x) x2 a = C4 .

Eo. 47) 30 Strahlung und Energie in dem System Atmosphare/Erdoberflache Hieraus folgt umgekehrt 2 2'F Eo=--. 4 . 49) --;;-~. bzw. - durch analoges Vorgehen - den differentiellen StreufluB ds 1t 2 • X2 - - = - - - . 4 2 \jf' F. 50) Die Division durch die EnergiefluBdichte F der anregenden Strahlung liefert, in Anlehnung an Abschn. 3, den totalen bzw. den differentiellen RayleighStreuquerschnitt, as = 8·1t 3 ·X 2 3· 1:5').. 51) bzw. da s dO 1t 2 • X2 1:5').. 4 2 - - = - - - . cos \jf. 16 sind die Zusammenhange zwischen der Polarisationsrichtung des einfallenden Lichtes und der Richtungscharakteristik der gestreuten Strahlung bzw.

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