Rotational Raman scattering in the Earth's atmosphere ... - SRON
Rotational Raman scattering in the Earth's atmosphere ... - SRON
Rotational Raman scattering in the Earth's atmosphere ... - SRON
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Introduction 3<br />
Extract<strong>in</strong>g <strong>the</strong> wealth of <strong>in</strong>formation that is conta<strong>in</strong>ed <strong>in</strong> <strong>the</strong> measured reflectivity spectra requires<br />
models that accurately describe <strong>the</strong> measurement with all its spectral features. In this <strong>the</strong>sis we focus<br />
on improv<strong>in</strong>g <strong>the</strong> model<strong>in</strong>g of <strong>the</strong> spectral features that are associated with light <strong>scatter<strong>in</strong>g</strong> by<br />
molecules. Before we discuss <strong>the</strong> details of molecular light <strong>scatter<strong>in</strong>g</strong> processes (Section 1.3), we<br />
will po<strong>in</strong>t out some of <strong>the</strong>se spectral signatures. The <strong>in</strong>set <strong>in</strong> Fig. 1.2 shows a zoom-<strong>in</strong> on a typical<br />
clear-sky GOME reflectivity spectrum <strong>in</strong> <strong>the</strong> wavelength range 350–400 nm. The fact that light<br />
with short wavelengths is more strongly scattered by molecules than light with longer wavelengths<br />
is clearly seen <strong>in</strong> this particular wavelength range. The spectral cont<strong>in</strong>uum is commonly described<br />
by a purely elastic light <strong>scatter<strong>in</strong>g</strong> process called Rayleigh <strong>scatter<strong>in</strong>g</strong>. However, a closer <strong>in</strong>spection<br />
shows spectral f<strong>in</strong>e-structure that is also caused by <strong>scatter<strong>in</strong>g</strong> by molecules. In each <strong>scatter<strong>in</strong>g</strong> event<br />
approximately 4% of <strong>the</strong> light is <strong>in</strong>elastically scattered by molecules due to a process called <strong>Raman</strong><br />
<strong>scatter<strong>in</strong>g</strong> (e.g. [Jo<strong>in</strong>er et al., 1995]). This type of <strong>in</strong>elastic <strong>scatter<strong>in</strong>g</strong> causes spectral f<strong>in</strong>e-structure <strong>in</strong><br />
<strong>the</strong> reflectivity spectrum, which is also referred to as <strong>the</strong> R<strong>in</strong>g effect as will be expla<strong>in</strong>ed <strong>in</strong> <strong>the</strong> next<br />
section.<br />
This <strong>the</strong>sis deals with <strong>the</strong> development of accurate radiative transfer models that adequately describe<br />
<strong>the</strong> full reflectivity spectrum, with emphasis on <strong>in</strong>clud<strong>in</strong>g <strong>the</strong> R<strong>in</strong>g effect. With <strong>the</strong> help of such<br />
accurate models <strong>the</strong> retrieval of trace gas concentrations from satellite-based reflectivity spectra can<br />
be improved.<br />
1.2 The R<strong>in</strong>g effect: a short historical background<br />
Fill<strong>in</strong>g-<strong>in</strong> of Fraunhofer l<strong>in</strong>es – In 1802 William Wollaston noticed l<strong>in</strong>es of low <strong>in</strong>tensity <strong>in</strong> a solar<br />
spectrum that was measured on Earth. He figured – <strong>in</strong>correctly – that <strong>the</strong>se had to be <strong>the</strong> division<br />
l<strong>in</strong>es between <strong>the</strong> different colors. Joseph von Fraunhofer rediscovered <strong>the</strong> l<strong>in</strong>es <strong>in</strong> 1814 and studied<br />
<strong>the</strong>m <strong>in</strong> greater detail. By 1815 he had catalogued more than 300 of <strong>the</strong>m, assign<strong>in</strong>g Roman letters to<br />
<strong>the</strong> most prom<strong>in</strong>ent ones. Each Fraunhofer l<strong>in</strong>e, as was found later by Kirchhoff and Bunsen (1861),<br />
can be attributed to a specific chemical element. Most Fraunhofer l<strong>in</strong>es <strong>in</strong> a solar spectrum that is<br />
measured on <strong>the</strong> ground are absorption l<strong>in</strong>es of chemical elements <strong>in</strong> <strong>the</strong> upper layers of <strong>the</strong> Sun, but<br />
some of <strong>the</strong>m turned out to be of terrestrial orig<strong>in</strong>. For example, <strong>the</strong> A Fraunhofer l<strong>in</strong>e near 760 nm<br />
is a strong absorption band of O 2 , which was later referred to as <strong>the</strong> O 2 A absorption band.<br />
In 1961 Gra<strong>in</strong>ger and R<strong>in</strong>g compared a diffuse skylight spectrum (i.e. a spectrum of <strong>the</strong> sky<br />
measured dur<strong>in</strong>g <strong>the</strong> day, but po<strong>in</strong>t<strong>in</strong>g away from <strong>the</strong> solar disk) with a direct lunar spectrum. They<br />
discovered that <strong>the</strong> H Fraunhofer l<strong>in</strong>e near 397 nm was less deep <strong>in</strong> <strong>the</strong> diffuse skylight spectrum<br />
than <strong>in</strong> <strong>the</strong> direct lunar spectrum [Gra<strong>in</strong>ger and R<strong>in</strong>g, 1962]. Gra<strong>in</strong>ger and R<strong>in</strong>g proposed that daylight<br />
airglow might be responsible for this, but this hypo<strong>the</strong>sis was later rejected [Br<strong>in</strong>kmann, 1968,<br />
Kattawar et al., 1981]. S<strong>in</strong>ce <strong>the</strong>n several mechanisms have been proposed to expla<strong>in</strong> <strong>the</strong> fill<strong>in</strong>g-<strong>in</strong>,<br />
for example by aerosol fluorescence [Noxon and Goody, 1965] and surface reflection effects such as<br />
plant fluorescence [Sioris et al., 2003]. Nowadays scientists concur that <strong>the</strong> fill<strong>in</strong>g-<strong>in</strong> of Fraunhofer<br />
l<strong>in</strong>es <strong>in</strong> a daytime spectrum is predom<strong>in</strong>ately caused by <strong>in</strong>elastic <strong>scatter<strong>in</strong>g</strong> by N 2 and O 2 molecules<br />
<strong>in</strong> <strong>the</strong> Earth’s <strong>atmosphere</strong> [Jo<strong>in</strong>er et al., 1995, Fish and Jones, 1995, Burrows et al., 1996, Chance