UV-Visible Differential Optical Absorption Spectroscopy 171
These models must include parameters such as wavelength-dependent Rayleigh and Mie
scattering, vertical profiles of pressure, temperature and the species of interest, as well as
the SZA and azimuth angle of the receiving telescope. For SZA < 75
, the AMF is well
approximated by the simple geometrical relationship 1/ cosSZA.
3.4.2 Zenith-viewing geometry: Retrieval of NO
3
vertical
profiles
Zenith-sky spectroscopy is based on the collection of scattered photons using a zenith-
pointing telescope, from either a ground-based or airborne instrument. Although routine
monitoring of O
3
and NO
2
in the stratosphere has been conducted for many years
using zenith-pointing instruments (Noxon, 1975; Harrison, 1979; Noxon et al., 1979;
Syed & Harrison, 1980; Noxon, 1981; McKenzie & Johnston, 1982, 1983; Noxon, 1983;
McKenzie & Johnston, 1984; Mount et al., 1988; Pommereau & Goutail, 1988; Roscoe
et al., 1990; Goutail et al., 1994; Gil et al., 1996; Sarkissian et al., 1997; VanRoozendael
et al., 1997; Vaughan et al., 1997; Preston et al., 1998; Roscoe et al., 1999; Gil et al.,
2000; Liley et al., 2000), here we will focus on ground-based DOAS measurements of
NO
3
. During the night, NO
3
has been monitored using direct observations of the moon
as a light source (Noxon et al., 1978, 1980; Noxon, 1983; Sanders et al., 1987; Solomon
et al., 1989a,b; Wagner et al., 2000). Since 1990s NO
3
columns have been measured for
an hour or so before sunrise, by collecting scattered sunlight using zenith and off-axis
DOAS when the SZA is less than about 95
(Weaver et al., 1996; Aliwell & Jones, 1998;
von Friedeburg et al., 2002). In fact, NO
3
is photolysed so rapidly that the decrease in
NO
3
column as the solar terminator sweeps downward before sunrise can be used to
determine the vertical profile of the radical in the troposphere and lower stratosphere
(Smith & Solomon, 1990; Smith et al., 1993).
Figure 3.13(a) shows how NO
3
is sequentially removed by photolysis as the SZA decreases
to 90
(sunrise). The VCDs of NO
3
are derived in a similar way to the NO
3
concentrations
determined with an LP-DOAS instrument (Allan et al., 2002) (Section 3.3.1.2), where each
processed atmospheric spectrum is divided by a processed daytime reference spectrum. Note
that the lifetime of NO
3
against photolysis is only a few seconds in full sunlight, so the persis-
tence of NO
3
when SZA is less than 90
indicates a large quantity of N
2
O
5
is present. This is in
equilibrium with NO
3
NO
3
+NO
2
↔ N
2
O
5
, so the relatively slow thermal decomposition
of N
2
O
5
has the effect of delaying the disappearance of NO
3
after sunrise. This effect occurs
in semi-polluted environments with NO
2
mixing ratios above 500 ppt (Coe et al., 2002).
The generic optimal estimation method (OEM) developed by Rodgers (1976, 1990) for
solving atmospheric data inversion problems has been successfully developed to retrieve
vertical profile information of NO
3
from zenith-sky spectroscopic measurements of
column abundance made through sunrise (Coe et al., 2002). A forward model described by
the expression y =Kx predicts the column density time series, y, that would be observed
from a vertical concentration profile, x, connected through a weighting function, K. The
elements of the matrix K are the degree of photolysis of NO
3
as a function of height,
SZA and time (Coe et al., 2002). In fact, since x is unknown the forward model is
inverted to yield the backward model x = K
−1
y. The inversion process begins from an
a priori guess of the NO
3
profile x
0
; the backward model is then used to calculate an