Atmos. Meas. Tech., 9, 669–682, 2016
www.atmos-meas-tech.net/9/669/2016/
doi:10.5194/amt-9-669-2016
© Author(s) 2016. CC Attribution 3.0 License.
Improved retrieval of gas abundances from near-infrared solar
FTIR spectra measured at the Karlsruhe TCCON station
M. Kiel
1
, D. Wunch
2
, P. O. Wennberg
2
, G. C. Toon
3
, F. Hase
1
, and T. Blumenstock
1
1
Institute of Meteorology and Climate Research, Karlsruhe Institute of Technology, Karlsruhe, Germany
2
Department of Environmental Science and Engineering, California Institute of Technology, Pasadena, CA, USA
3
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA
Correspondence to:
M. Kiel (matthaeus.kiel@kit.edu)
Received: 16 October 2015 – Published in Atmos. Meas. Tech. Discuss.: 23 November 2015
Revised: 19 January 2016 – Accepted: 16 February 2016 – Published: 29 February 2016
Abstract.
We present a modified retrieval strategy for solar
absorption spectra recorded by the Karlsruhe Fourier Trans-
form Infrared (FTIR) spectrometer, which is operational
within the Total Carbon Column Observing Network (TC-
CON). In typical TCCON stations, the 3800–11 000 cm
−
1
spectral region is measured on a single extended Indium
Gallium Arsenide (InGaAs) detector. The Karlsruhe setup
instead splits the spectrum across an Indium Antimonide
(InSb) and InGaAs detector through the use of a dichroic
beam splitter. This permits measurements further into the
mid-infrared (MIR) that are of scientific interest, but are not
considered TCCON measurements. This optical setup in-
duces, however, larger variations in the continuum level of
the solar spectra than the typical TCCON setup. Here we in-
vestigate the appropriate treatment of continuum-level vari-
ations in the retrieval strategy using the spectra recorded in
Karlsruhe. The broad spectral windows used by TCCON re-
quire special attention with respect to residual curvature in
the spectral fits. To accommodate the unique setup of Karl-
sruhe, higher-order discrete Legendre polynomial basis func-
tions have been enabled in the TCCON retrieval code to fit
the continuum. This improves spectral fits and air-mass de-
pendencies for affected spectral windows. After fitting the
continuum curvature, the Karlsruhe greenhouse gas records
are in good agreement with other European TCCON data
sets.
1 Introduction
Global climate change is a major research topic of today’s
environmental sciences. Human activities, such as burning
of fossil fuels, are the key drivers of the continuing increase
of atmospheric greenhouse gases and the gases involved in
their chemical production (Peters et al., 2013). Long-term
measurements of the atmospheric composition provide the
experimental data to quantify sinks and sources which are of
utmost importance to understand the anthropogenic impact
on global warming (Olsen and Randerson, 2004).
The Total Carbon Column Observing Network (TCCON)
provides measurements of column-averaged abundances of
greenhouse gases. TCCON is a ground-based network of
Fourier Transform Infrared (FTIR) spectrometers initiated in
2004 by the California Institute of Technology, Pasadena,
USA (Wunch et al., 2011). The stationary high-resolution
FTIR spectrometers measure total columns of CO
2
, CO,
CH
4
, N
2
O, H
2
O, HF and other atmospheric gases. Precise
and accurate column abundances are retrieved from near in-
frared (NIR) solar absorption spectra using direct sunlight.
TCCON measurements are tied to the World Meteorologi-
cal Organization (WMO) scale via in situ aircraft measure-
ments flown over TCCON sites (Washenfelder et al., 2006;
Deutscher et al., 2010; Wunch et al., 2010; Messerschmidt
et al., 2011; Geibel et al., 2012). For the greenhouse gases
CO
2
and CH
4
, TCCON achieves an accuracy and precision
in total column measurements of about 0.2 % which is nec-
essary to gain information about sinks and sources and for
satellite validation (Rayner and O’Brien, 2001). Currently,
about 23 globally distributed sites are affiliated with TC-
Published by Copernicus Publications on behalf of the European Geosciences Union.
670
M. Kiel et al.: Improvement of the retrieval used for Karlsruhe TCCON data
CON. The network aims to improve global carbon cycle stud-
ies and to provide a primary validation data record of various
gaseous atmospheric components for retrievals from space-
based instruments. TCCON instruments measure the same
quantities in the same spectral region as satellite-borne in-
struments – e.g., the Orbiting Carbon Observatory 2 (OCO-2,
Frankenberg et al., 2015), the Scanning Imaging Absorption
Spectrometer (SCIAMACHY, Frankenberg et al., 2006) and
the Greenhouse Gases Observing Satellite (GOSAT, Morino
et al., 2011). Hence, for the validation, TCCON provides an
ideal data set.
The TCCON strives to attain the best site-to-site precision
and accuracy possible. Systematic biases that are consistent
throughout the network are fully accounted for by scaling
the TCCON retrieval results to the WMO scale via aircraft
and AirCore profiles (Wunch et al., 2010). Thus, the TC-
CON sets guidelines to ensure that the instrumentation at
each site is as similar as possible, and that the retrieval soft-
ware, including the spectroscopic line lists and line shapes,
is identical for each site. For example, if a particular site
used a different spectroscopic line list from the rest of the
sites, the network consistency would decrease even if that
line list is an improvement over the original. There are, how-
ever, several site-specific differences that can cause a degra-
dation in the TCCON’s consistency: differing instrument line
shapes (ILS) between instruments (Hase, 2012), laser sam-
pling errors (LSE) that differ between instruments (Messer-
schmidt et al., 2010), and differing optical component re-
sponses between instruments (beam splitters, detectors, fil-
ters, mirror coatings, etc.). The impacts of ILS differences are
mitigated by requiring that all instruments maintain a near-
perfect ILS at each TCCON station. The impacts of the LSE
are minimized by applying a correction to the TCCON inter-
ferograms (Dohe et al., 2013; Wunch et al., 2015). TCCON
partners typically use very similar optical components, and
detectors which addresses the last of these issues. This ap-
proach to standardizing the optical components is imperfect,
but the differences between spectra from different sites are
generally small. The Karlsruhe system, however, has a sig-
nificantly different optical setup, designed to allow for au-
tomated mid-infrared NDACC (Kurylo, 1991) and TCCON
measurements to be made from the same system. As shown
here, using the standard TCCON retrieval approach for this
setup causes biases of nearly 1 ppm in XCO
2
, which exceeds
the precision requirements of the network.
In this paper, we discuss the particular instrumental setup
of the Karlsruhe FTIR spectrometer and point out differences
from the standard TCCON setup. We identify difficulties in
the standard TCCON data processing when analyzing solar
absorption spectra recorded by the Karlsruhe spectrometer
and present a strategy for the Karlsruhe data set that improves
its consistency with respect to TCCON.
2 Instrumentation
The Karlsruhe TCCON FTIR spectrometer was initiated in
2009 at the Karlsruhe Institute of Technology (KIT) – Cam-
pus North (49.1
◦
N, 8.4
◦
E, 110 m a.s.l.). Karlsruhe is an
extensive urban region in central Europe and experiences
an oceanic, mild climate similar to most cities in the mid-
western part of Europe. The flat terrain is a favorable scene
for nadir-looking satellite overpasses as well as model stud-
ies. Solar spectra are acquired by operating a Bruker IFS
125HR spectrometer (Bruker Optics, Germany). The auto-
mated instrument is housed in an air-conditioned 20 ft sea
transport certified shipping container. The spectrometer fea-
tures a precise cube-corner Michelson interferometer con-
taining a semi-transparent calcium fluoride (CaF
2
) beam
splitter and a linearly moving scanner. An InSb detector cov-
ers the spectral range from 1900–5250 cm
−
1
and an InGaAs
detector covers the 5250–11 000 cm
−
1
spectral range. The
InSb diode is cryogenically cooled using a liquid nitrogen
(LN
2
) microdosing autofill cooling system (Norhof, Nether-
lands). A dichroic mirror (Optics Balzers Jena GmbH, Ger-
many) is installed with a cut-on wavenumber of 5250 cm
−
1
.
The instrument features a camera-based solar tracker de-
veloped by KIT (Gisi et al., 2011) with gold-coated optics
to minimize photon noise induced by the visible spectrum.
TCCON measurements are routinely recorded at a maxi-
mum optical path difference (OPD
max
) of 45 cm leading to
a spectral resolution of 0.02 cm
−
1
. In addition, solar spectra
are also recorded at OPD
max
=
64 cm and OPD
max
=
120 cm
leading to spectral resolutions of 0.014 and 0.0075 cm
−
1
, re-
spectively.
2.1 Differences to the standard TCCON setup
The Karlsruhe full spectral range is 1900–11 000 cm
−
1
, mea-
sured simultaneously with InSb and InGaAs detectors. The
typical TCCON spectral range is 3800–16 000 cm
−
1
, mea-
sured simultaneously with InGaAs and silicon (Si) detectors
(Washenfelder et al., 2006). To measure all TCCON gases,
the spectral range of the TCCON measurements must in-
clude 3800–11 000 cm
−
1
; only the oxygen A- and B-bands
are measured on the Si detector above 11 000 cm
−
1
, and
these retrievals are not part of the standard set of TCCON
retrievals (Wunch et al., 2011). The spectra from the Si de-
tector are important, however, because they are used to cal-
culate and correct for any LSE in the system (Wunch et al.,
2015), to study aerosols, and the oxygen A- and B-bands are
necessary for comparison with satellites, which cannot use
the oxygen band at 7885 cm
−
1
.
The Karlsruhe setup splits the 3800–11 000 cm
−
1
spec-
tral range for TCCON-style measurements across the InSb
and InGaAs detectors using a dichroic beam splitter that re-
flects the MIR spectral domain and transmits the NIR spec-
tral range. The cut-on of the dichroic (5250 cm
−
1
) is be-
tween two atmospheric windows separated by H
2
O absorp-
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M. Kiel et al.: Improvement of the retrieval used for Karlsruhe TCCON data
671
tion bands. In the Earth’s atmosphere, this spectral region is
strongly saturated such that no loss of information arises by
splitting the incoming beam into parts of MIR and NIR radi-
ation at the chosen wavenumber.
For TCCON measurements of CO, N
2
O and HF which
absorb in the 3800–4800 cm
−
1
region, a narrowband spectral
filter transmitting from 3800–5250 cm
−
1
is mounted in front
of the InSb diode, yielding higher signal-to-noise ratios and
minimizing any detector nonlinearity. A spectrum recorded
by the Karlsruhe instrument and a typical TCCON spectrum
recorded by the Park Falls spectrometer is depicted in Fig. 1.
The operation of the InSb diode provides additional spec-
tral coverage to wavenumbers as low as 1900 cm
−
1
when
using other narrowband filters. Additional gases absorb in
this region, including NO, O
3
, HCl, HCN, C
2
H
2
, C
2
H
4
, NO
2
and C
2
H
6
. Additionally, the fundamental absorption bands of
OCS and CO are in this region, making it the preferred spec-
tral region for retrievals of OCS and CO. The optical setup
also provides spectra of H
2
O, HDO, CH
4
and N
2
O in the
MIR bands. MIR measurements are performed following the
guidelines of the Network for the Detection of Atmospheric
Composition Change – Infrared Working Group (NDACC-
IRWG) in addition to the TCCON measurements in the NIR.
2.2 Impact of the optical setup on solar spectra
The combination of the dichroic beam splitter and InSb opti-
cal filter in the Karlsruhe FTIR instrument induces stronger
variations of the continuum in solar spectra than a stan-
dard TCCON FTIR setup. The lower panel of Fig. 1 shows
a Karlsruhe spectrum simultaneously recorded by the InSb
diode and the InGaAs diode. There are clear differences
in the shape of the spectrum between 3900–5250 cm
−
1
be-
tween the Karlsruhe instrument (Fig. 1, bottom panel) and
a typical TCCON instrument (Fig. 1, upper panel). Karl-
sruhe spectra contain an oscillating overall envelope which
is not present in standard TCCON spectra. Retrieved gases
within this spectral region are CO (center wavenumber (cw)
in cm
−
1
: 4233.0, 4290.4), N
2
O (cw: 4395.2, 4430.1, 4719.5),
HF (cw: 4038.95) and several H
2
O and HDO narrow spectral
windows.
Smaller, but significant differences in the continua are also
present in the 5250–11 000 cm
−
1
range. The Karlsruhe sig-
nal remains high with an oscillating overall envelope while
the Park Falls signal decreases smoothly with increasing
wavenumbers. This region contains the O
2
(cw: 7885.0)
spectral window which is used to calculate column-averaged
dry-air mole fractions (DMFs) of the target gases.
3 Analysis and data processing
Within TCCON, the recorded interferograms are processed
and analyzed with the GGG2014 Software Suite which in-
cludes GFIT, a non-linear least-squares spectral fitting al-
gorithm (Wunch et al., 2015). In general, all TCCON sites
4000
5000
6000
7000
8000
9000
10000
11000
Wavenumber
[
cm
−
1
]
0.0
0.1
0.2
0.3
0.4
0.5
Signal (arbitrary units)
C
H
4
C
O
2
C
O
N
2
O
O
2
P
a
r
k
s
F
a
l
l
s
(
e
x
t
e
n
d
e
d
I
n
G
a
A
s
)
4000
5000
6000
7000
8000
9000
10000
11000
Wavenumber
[
cm
−
1
]
0.00
0.05
0.10
0.15
0.20
Signal (arbitrary units)
C
ut-on dichroic
(5250cm )
−
1
K
a
r
l
s
r
u
h
e
(
I
n
S
b
)
K
a
r
l
s
r
u
h
e
(
I
n
G
a
A
s
)
Figure 1.
Upper panel: typical TCCON spectrum recorded by the
Park Falls instrument which operates an extended InGaAs detec-
tor, marked are the spectral regions of the main gases of interest;
lower panel: typical Karlsruhe spectrum recorded by the InSb and
InGaAs diode. The coverage of the full spectral range from 3800–
10 000 cm
−
1
is realized by the simultaneous operation of the two
diodes.
use the same software and retrieval analysis strategy to mini-
mize algorithmic biases between sites. The calibration of the
spectral radiances, exact modeling of the far line wing con-
tributions, and continuum transmission variability will cause
consistent errors for all TCCON stations, because the line
shape and continuum models are identical, thus negligibly
impacting the TCCON precision. However, surface tempera-
tures and signal-to-noise ratios can differ significantly from
site to site, and therefore these errors are much more impor-
tant to minimize.
3.1 Impact of the optical setup on spectral fits
Ideally, spectral residuals (the difference between the com-
puted and measured spectrum) should have no structure,
and consist only of the random noise associated with the
signal-to-noise ratio of the measured spectrum. We show that
residuals for CH
4
(cw: 5938.0, 6076.0), CO
2
(cw: 6339.5),
CO (cw: 4290.4), N
2
O (cw: 4719.5) and O
2
(cw: 7885.0)
show significant broad structure when fitted with the standard
GGG2014 TCCON retrieval, which fits only a scalar contin-
uum level and linear continuum tilt. Figure 2 shows spectral
fits and residuals for one particular Karlsruhe measurement
for the O
2
and N
2
O spectral windows. The residuals in the
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Atmos. Meas. Tech., 9, 669–682, 2016
672
M. Kiel et al.: Improvement of the retrieval used for Karlsruhe TCCON data
0.02
0.00
0.02
Residual
7750
7800
7850
7900
7950
8000
Wavenumber
[
cm
−
1
]
0.0
0.2
0.4
0.6
0.8
1.0
Transmittance
Me
asurement
Model
0.05
0.00
0.05
Residual
4680
4690
4700
4710
4720
4730
4740
4750
4760
Wavenumber
[
cm
−
1
]
0.0
0.2
0.4
0.6
0.8
1.0
Transmittance
Measurement
Model
Figure 2.
Spectral fits for a particular Karlsruhe spectrum: upper
panel, spectral fit and residual for O
2
(cw: 7885.0); lower panel,
spectral fit and residual for N
2
O (cw: 4719.5).
O
2
spectral window have the shape of a higher-order polyno-
mial while the N
2
O residual has a single extremum. Spectral
fits for the other affected target gases and spectral windows
are depicted in Fig. A1 in the Appendix.
Continuum curvature is related to our choice of optical
filters and dichroic, and is not atmospheric in nature. To
demonstrate this, we show that curvature exists in labora-
tory measurements using a black-body cavity at 1000
◦
C
as a source. The Karlsruhe FTIR instrument is not evac-
uated, therefore cavity measurements contain some atmo-
spheric absorption lines mainly from H
2
O in the laboratory
air (see Fig. A2, Appendix). Nevertheless, the curved resid-
uals from measurements with the black body have a similar
shape to residuals of atmospheric measurements. Figure 3
shows spectral fits of the O
2
and N
2
O spectral windows us-
ing black-body cavity measurements. For O
2
, residuals fol-
low the shape of a higher-order polynomial as seen for at-
mospheric measurements (see Fig. 2). Residuals within the
N
2
O spectral range follow the same parabolic shape as for
atmospheric measurements. This holds for all affected spec-
tral windows (see Fig. A3, Appendix). Hence, curvatures in
the residuals are due to the optical setup.
0.01
0.00
0.01
Residual
7750
7800
7850
7900
7950
8000
Wavenumber
[
cm
−
1
]
0.98
1.00
1.02
Transmittance
Measurement
Model
0.02
0.00
0.02
Residual
4680
4690
4700
4710
4720
4730
4740
4750
4760
Wavenumber
[
cm
−
1
]
0.98
1.00
1.02
Ttransmittance
Measurement
Model
Figure 3.
Same as Fig. 2 but for Karlsruhe cavity spectra. Both
residuals follow the same shape as seen for atmospheric measure-
ments.
4 Fitting in the continuum level
The standard GGG2014 retrieval strategy fits a level and a tilt
to the continuum of a spectral window. However, GFIT has
also the ability to fit an
N
th-order discrete Legendre polyno-
mial basis function to the continuum (Wunch et al., 2015).
This continuum fit option is meant to fit curvatures in the
continuum of the spectrum that are caused by instrumental
features that cannot be neglected in the data processing.
We invoke the higher-order continuum level fit option in
GGG2014. We determine the basis function order,
N
, for ev-
ery affected spectral window individually using spectral fits
of cavity measurements since their residuals are free from
atmospheric absorptions. Different continuum basis function
orders are tested to achieve the best fit in the continuum level.
An example of how the continuum fit improves residuals of
atmospheric spectral fits for the O
2
and N
2
O spectral win-
dows is given in Fig. 4. Spectral fits for all affected target
gases are depicted in Fig. A4 in the Appendix.
4.1 Impact of continuum fits on air-mass dependence
Air-mass-dependent retrieval biases must be accounted for,
as they can be aliased into the seasonal cycle and affect
the time series from different sites at different latitudes dif-
ferently. There are numerous factors that induce air-mass-
dependent artefacts, including continuum curvature.
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M. Kiel et al.: Improvement of the retrieval used for Karlsruhe TCCON data
673
0.02
0.00
0.02
Residual
7750
7800
7850
7900
7950
8000
Wavenumber
[
cm
−
1
]
0.0
0.2
0.4
0.6
0.8
1.0
Transmittance
Measurement
Model
0.05
0.00
0.05
Residual
4680
4690
4700
4710
4720
4730
4740
4750
4760
Wavenumber
[
cm
−
1
]
0.0
0.2
0.4
0.6
0.8
1.0
Transmittance
Measurement
Model
Figure 4.
Same as Fig. 2 but using the GGG2014 higher-order con-
tinuum fit option. For O
2
(upper panel)
N
=
5 was applied while
for N
2
O (lower panel)
N
=
3 was used.
Using cavity-ratioed spectra as a reference, we show that
implementing our continuum curvature fitting scheme sig-
nificantly reduces the air-mass-dependent biases caused by
the curvature. Our cavity-ratioed reference spectra are pro-
duced by dividing atmospheric spectra by a high signal-to-
noise ratio, reduced-resolution (0.05 cm
−
1
) black-body cav-
ity spectrum (1000
◦
C). This ratio eliminates broadband fea-
tures caused by the optics in the resulting calibrated atmo-
spheric spectra.
The impact of a continuum level fit on the air-mass de-
pendence is elaborated via a case study using Karlsruhe data
on 18 May 2014 when high air-mass values up to seven are
reached during the measurement day. In Fig. 5, the air-mass
dependence compared to the reference retrieval using cavity-
ratioed atmospheric spectra is depicted for the O
2
spectral
window. Running the standard GGG2014 TCCON retrieval
strategy (i.e., fitting only the continuum level and tilt), an
overall bias of
−
0.10 % results along with an air-mass de-
pendence leading to a relative difference of
−
0.15 % between
the reference run and the standard TCCON retrieval strategy
for air-mass values between six and seven. In comparison,
the air-mass dependence for column abundances from the re-
trieval when a higher-order continuum fit is applied shows
neither a significant air-mass dependence nor a significant
bias (0
.
04 %).
1
2
3
4
5
6
7
Airmass
0.15
0.10
0.05
0.00
0.05
∆
O
2
[
%
]
Cont inuum fit
−
reference
St andard GGG2014
−
reference
Figure 5.
Air-mass dependence for the O
2
(cw: 7885.0) spectral
window retrieved by the standard GGG2014 TCCON retrieval strat-
egy and using a higher-order continuum fit. As a reference, cavity-
ratioed atmospheric spectra are used for the standard GGG2014 re-
trieval setup.
In general, applying a higher-order Legendre polynomial
fit improves the air-mass dependence for CO
2
, CO, N
2
O, O
2
and CH
4
(cw: 6076.0) (see Fig. A5, Appendix).
There is no clear improvement for CH
4
(cw: 5938.0). On
the one hand, the overall bias is reduced for small air-mass
values. On the other hand, a stronger air-mass dependence
is induced by applying the higher-order continuum level
fit. Nevertheless, since the majority of the Karlsruhe mea-
surements are recorded between air-mass values of one and
two, the retrieval strategy with a higher-order continuum fit
seems to improve the air-mass dependence compared to the
standard GGG2014 retrieval. The remaining air-mass depen-
dence is most likely due to spectroscopic errors.
4.2 Impact of continuum fits on column-averaged
DMFs
The higher-order continuum fit improves spectral fits as well
as the air-mass dependence. It is also important to note that
the computed DMFs are changed. DMFs are computed by
ratioing the column abundance of the gas of interest by O
2
,
and multiplying by the assumed atmospheric DMF of O
2
(0.2095). Since O
2
is significantly impacted by continuum
curvature, the DMFs of all gases will change compared to
the standard GGG2014 retrieval strategy. The relative mean
difference is (0
.
132
±
0
.
010) % for the O
2
spectral window.
Therefore, DMFs of target gases change by 0.132 % when no
higher-order continuum fit is applied in the second retrieval
strategy (H
2
O, HF, and HCl). For all other target gases, any
differences are due to the change in retrieved O
2
abundances
and changes in abundances retrieved of the target gas itself.
An overview of the differences of all affected gases is given
in Table 1.
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Atmos. Meas. Tech., 9, 669–682, 2016