of 16
Photoacoustic insight for aerosol light absorption aloft from
meteorological aircraft and comparison with particle soot absorption
photometer measurements: DOE Southern Great Plains climate
research facility and the coastal stratocumulus imposed perturbation
experiments
W. Patrick Arnott,
1
John W. Walker,
1
Hans Moosmu
̈ller,
1
Robert A. Elleman,
2
Haflidi H. Jonsson,
3
Gintautas Buzorius,
3
William C. Conant,
4
Richard C. Flagan,
4
and John H. Seinfeld
4
Received 10 March 2005; revised 16 June 2005; accepted 10 August 2005; published 24 January 2006.
[
1
]
Aerosol light absorption can be intense close to local sources such as wildland and oil
fires, with smoke that disperses into the boundary layer and, with enough lift, into the
upper atmosphere where it may be transported around the globe. Filter-based methods
such as the Particle Soot Absorption Photometer (PSAP) are most commonly used to
quantify aerosol light absorption aloft. This paper reports first measurements of aerosol
light absorption aloft with photoacoustic instrumentation (PA). Three examples of aerosol
light absorption are presented. The first one illustrates a case of detached layers aloft
arising from intercontinental, interoceanic transport of smoke from wildland fires in
Siberia to the North American continent and the measurement campaign held at the
Department of Energy Atmospheric Radiation Measurement Program Climate Research
Facility in north central Oklahoma. Then, two examples of intense local fire smoke light
absorption from the Coastal Stratocumulus Imposed Perturbation Experiment near
Marina, California, USA, are presented. The first local fire was an oil fire burning in a
storage tank near Moss Landing, California, USA, and smoke from this fire was very dark,
indicating a low single scattering albedo. By contrast, the second local fire was
predominantly burning wood, vegetation, and structures near Fort Ord in Marina,
California, USA, and the smoke was very bright, indicating a high single scattering
albedo. In all examples, PA measurements at 676 nm were compared with those from a
PSAP modified to measure at three wavelengths, including 660 nm.
Citation:
Arnott, W. P., J. W. Walker, H. Moosmu
̈ ller, R. A. Elleman, H. H. Jonsson, G. Buzorius, W. C. Conant, R. C. Flagan, and
J. H. Seinfeld (2006), Photoacoustic insight for aerosol light absorption aloft from meteorological aircraft and comparison with particle
soot absorption photometer measurements: DOE Southern Great Plains climate research facility and the coastal stratocumulus imposed
perturbation experiments,
J. Geophys. Res.
,
111
, D05S02, doi:10.1029/2005JD005964.
1. Introduction
[
2
] Aerosol light absorption and scattering are the main
pathways for particulate interaction with atmospheric radi-
ation. Regions downwind of major urban areas are impacted
by light absorbing aerosol, chiefly black carbon from
combustion sources, and health, radiation, and cloud life-
time issues are associated with these particles [
Andreae
,
2001]. These particles may mix into the atmospheric
boundary layer, or get lofted into the upper atmosphere by
convective processes. Wildland fires also produce black
carbon that may very well be transported into the upper
atmosphere during large fires. In these cases where aerosol
are in the upper atmosphere their characterization cannot be
inferred by in situ measurements at ground level.
[
3
] Black carbon absorbs light across the entire solar
spectrum and typically has an inverse wavelength depen-
dence where light absorption at blue wavelengths is greater
than it is at red wavelengths. This is not always the case, as
was noted recently [
Kirchstetter et al.
, 2004] where evi-
dence was presented that light absorption by wildland fire
smoke may have a very different wavelength dependence.
Aerosol light absorption, both on the ground and aloft, is
most often measured using filter-based methods such as the
Particle Soot Absorption Photometer (PSAP), and a new
JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 111, D05S02, doi:10.1029/2005JD005964, 2006
1
Division of Atmospheric Sciences, Desert Research Institute, Reno,
Nevada, USA.
2
Department of Atmospheric Sciences, University of Washington,
Seattle, Washington, USA.
3
Naval Postgraduate School, Monterey, California, USA.
4
California Institute of Technology, Pasadena, California, USA.
Copyright 2006 by the American Geophysical Union.
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0
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three-wavelength instrument has been developed for both
applications [
Virkkula et al.
, 2005].
[
4
] Measurements aloft are usually undertaken on rare
occasions when groups assembled to analyze particular
hypotheses initiate an intensive operational period. An
exception to this is the program at the Department of Energy
Atmospheric Radiation Program Climate Research Facility
Southern Great Plains site, denoted simply as the SGP in the
remainder of this paper. Aerosol light scattering and PSAP
absorption measurements are measured routinely in the
boundary layer over the SGP using an unpressurized sin-
gle-engine light aircraft. This program may grow in coming
years, both in terms of the number of measurements and in
the aircraft capability. One finding of this routine sampling
program aloft is an indication that aerosol single scattering
albedo systematically diminishes with height. Single scat-
tering albedo is defined as the ratio of light scattering to the
sum of light scattering and absorption, also known as
extinction. The significance of this finding is that such an
effect would stimulate relative heating of the atmosphere at
levels above the ground where clouds try to form, and
would tend to shadow the ground from direct radiative
forcing by sunlight with potential implications to reductions
of photosynthetic plant growth and the initiation of convec-
tion. Aerosol amount at the SGP is usually modest, though
can be larger during episodes where farmers burn local
fields [
Sheridan et al.
, 2001;
Arnott et al.
, 2003b]. Aerosol
amount, and the potential for strong aerosol impacts, is
much larger in places like Brazil where the rain forest is
being cleared by the slash and burn method [
Reid et al.
,
1998].
[
5
] The most common method of aerosol light absorption
measurement involves use of a filter to sample ambient air
and an optical source and detector to determine the change
in filter transmittance or reflectance due to particulate matter
deposited on the filter since the previous optical measure-
ment. Filter optical transmittance measurement is the most
common of analytical method and single- and multiple-
wavelength versions of these instruments are commercially
available, called Aethalometers by Magee Scientific, and
PSAP’s by Radiance Research. Aethalometers are calibrated
by the manufacturer to provide black carbon mass concen-
tration, though recent efforts have sought to interpret data
from these instruments also in terms of aerosol light
absorption [
Weingartner et al.
, 2003;
Arnottetal.
,
2005b]. Single-wavelength PSAP’s have been calibrated
to provide aerosol light absorption measurements [
Bond et
al.
, 1999], and a new three-wavelength prototype has been
developed and calibrated [
Virkkula et al.
, 2005] during the
Reno Aerosol Optics Study [
Sheridan et al.
, 2005]. It is this
new prototype that will be compared in this paper with
photoacoustic measurements of aerosol light absorption
aloft. It has been recognized that the optical characterization
of particles on quartz fiber filters common to these
instruments formally involves multiple scattering theory
[
Horvath
, 1997;
Gorbunov et al.
, 2002], and that non-
absorbing aerosol gives rise to an apparent absorption
equal to roughly 2% of the scattering coefficient [
Bond et
al.
, 1999;
Arnott et al.
, 2005b;
Virkkula et al.
, 2005]. A
strong motivation for use of the photoacoustic instrument
on aircraft is to provide a separate method for aerosol
light absorption measurement that does not employ filters,
and a method that can have its calibration evaluated using
light absorbing gases such as NO
2
[
Arnott et al.
, 2000;
Sheridan et al.
, 2005] to compare with the more com-
monly used PSAP, and to characterize the atmosphere.
[
6
] It should be noted that filter-based measurements of
aerosol light absorption are quite sensitive, as the multiple
scattering enhancement of light absorption by the filter
substrate amplifies the absorption signal, yet the challenge
is to provide suitable calibration. The largest remaining
unknown factor is the effect of particle distribution in the
filter since a monolayer of particles sitting on the filter
surface will have an optical effect quite different from the
same particles embedded uniformly throughout the filter. A
new filter-based instrument has been developed as the
Multiple Angle Absorption Photometer (MAAP) by
Thermo Electron that measures both filter transmission
and reflection at numerous angles to better constrain the
energy budget for the optical interaction of the filter and
particles [
Petzold and Scho
̈nlinner
, 2004;
Petzold et al.
,
2005] by obtaining absorptivity from (1

filter transmis-
sivity

filter reflectivity). The MAAP does not require
ancillary use of a nephelometer for determination of the
scattering coefficient needed to correct filter transmission
measurements as does the PSAP and the Aethalometer.
[
7
] Surface measurements of aerosol light absorption in
the ambient, and from source samples, by the photo-
acoustic method, have been reported by several groups
[
Bruce and Pinnick
, 1977;
Terhune and Anderson
, 1977;
Japar and Killinger
, 1979;
Roessler and Faxvog
, 1980;
Japar and Szkarlat
, 1981;
Roessler
, 1984;
Adams et al.
,
1990a, 1990b;
Petzold and Niessner
, 1992, 1994, 1995;
Moosmu
̈ller et al.
, 1998;
Arnott et al.
, 1999, 2003b,
2005b]. While this list covers the flavor of most previous
efforts, it is not meant to be complete. However, no references
have been found for previous measurements of aerosol light
absorption aloft from a meteorological aircraft by the photo-
acoustic method, but are reported in this paper. It should be
noted that a remarkable report has been made of photo-
acoustic measurements of water vapor and NO concentrations
at an altitude of 28 km using a large tethered balloon system
that was operated by the National Center for Atmospheric
Research and flew out of Palestine Texas [
Patel et al.
, 1974].
[
8
] An extensive literature exists on photoacoustic trace
gas detection and it is relevant to discuss the general merits
of this spectroscopic method. Use of high-quality micro-
phones (e.g., 1
00
diameter capacitive versions that polarize
the plates with an externally provided 200 V) as detectors
gives a dynamic range for acoustic pressure measurements
from around

40 dB (Re 20
m
Pa) to around 135 dB (Re
20
m
Pa). The acoustic signal at the low end of this range is
2

10

7
Pa, and as light absorption levels aloft generally
are low, it is a challenge to accurately quantify such low
sound pressure values. These detectors are completely color-
blind in that they can be used with radiant energy at any
wavelength, are stable over many years, and a well-aligned
unit has negligible background. Relatively simple acoustical
shielding and use of analog acoustic filters to block certain
frequency ranges can allow these instruments to be used for
source sample measurements for even very loud tethered jet
aircraft [
Arnott et al.
, 2005a]. At the low signal level phase
sensitive lock-in amplifier detection and large laser power
are additionally needed to optimize sensitivity.
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[
9
] This paper is organized as follows. Section 2 covers
the acoustical issues associated with use of resonant photo-
acoustic instruments aloft in an environment where ambient
pressure can change rather quickly. This discussion is rather
technical and is specialized toward instrument issues so the
reader eager for intercomparisons of filter-based measure-
ments with photoacoustic values can skip this section on a
first read and go directly to the next section. Examples are
given in this next section illustrating measurements aloft
above the atmospheric boundary layer of distinct layers of
aerosol light absorption from wildland fires at source
locations an ocean and 1/2 of a continent away from the
observation area. Further examples illustrate use of the
instrument to characterize locally intense plumes of aerosol
light absorption from very dark smoke emitted during a
fuel oil fire and from very bright smoke from a wildland
fire.
2. Resonant Photoacoustics Aloft: Acoustical
Considerations
[
10
] Photoacoustic instruments have been used both in
source and ambient sampling of light absorbing aerosol.
Sample air is pulled continuously through an acoustical
resonator and is illuminated by laser light that is power
modulated at the acoustical resonance frequency. Light
absorption results in particle heating and this heat transfers
rapidly to the surrounding air, inducing periodic pressure
fluctuations that are picked up with a microphone on the
resonator. This is a rather generic description of the photo-
acoustic method, though key points about the ability to
sample continuously, to accommodate microphone calibra-
tion by balancing the static pressure on both sides of the
membrane, and to acoustically shield the instrument from
background noise and coherent window light absorption
signals can be found elsewhere [
Rosengren
, 1975;
Arnott et
al.
, 1999, 2003a, 2005a].
[
11
] The photoacoustic instrument operates at a conve-
nient wavelength of 676 nm where gaseous interference is
negligible and where a diode laser source is available that
allows for direct electronic modulation of the optical power
at the resonator frequency. The laser power is around 500 mW
at the operating acoustical resonance frequency of nominally
1500 Hz, and the laser is fiber-coupled to the resonator. The
multimode fiber output is collimated with a lens attached to
the fiber end. The lens is attached directly to the resonator to
minimize effects of aircraft vibration on optical align-
ment, though as the beam did not proceed completely
cleanly through the resonator a background signal of
around 10 Mm

1
was observed from absorption of light
by the resonator walls. A misaligned system produces a
very large amount of stray light in comparison with the
aligned system where light scattering particles are present.
The lens system used at the time of these experiments
had no alignment capacity, though in later work employ-
ing a more sophisticated lens system, stray radiation has
been eliminated.
[
12
] It has been demonstrated that ammonium sulfate
aerosol of a pure scattering nature at 532 nm, with negli-
gible light absorption, produce negligible photoacoustic
signals [
Arnott et al.
, 2005b;
Sheridan et al.
, 2005]. The
absorption measured by the photoacoustic instrument for
ammonium sulfate aerosol was perhaps 0.77 Mm

1
and the
scattering coefficient was 519 Mm

1
for a single scattering
albedo of 0.9985. By comparison, the Aethalometer had a
filter attenuation coefficient of around 27 Mm

1
at 521 nm
while the scattering-corrected PSAP had an absorption
coefficient of 2.2 Mm

1
at 550 nm for this case.
[
13
] In any case, the slightly misaligned photoacoustic
instrument with a relative broad laser beam diameter neces-
sitated background subtraction through the use of a motor-
ized valve that switched between sample air and air filtered
of particles, and the valve position was automatically
changed under computer control as part of the operation
of the instrument control software. Data were acquired at a
rate of 1 Hz and instrument zeros were obtained every 500
measurements. The background measurement was time
averaged over 10 measurements to improve the signal-to-
noise ratio for background determination. It should be noted
that in other instances a properly aligned system with a
clean laser beam from a solid state laser at 532 nm exhibited
negligible background so no background subtraction was
necessary [
Arnott et al.
, 2003b].
[
14
] Photoacoustic signal background could generally
arise from two sources. Electronic background could arise
from bleed of the modulation square wave signal to the
microphone data acquisition channel. This background
source would be independent of pressure and temperature.
On the other hand, stray laser light being absorbed some-
where, for example on a window or on the resonator wall,
could give rise to a background photoacoustic signal that is
dependent on the thermodynamic conditions of the gas in
the resonator. Extensive tests have demonstrated that the
electronic background is negligible. The goal of the remain-
ing section is to develop an understanding of the operation
of the photoacoustic instrument aloft where pressure, rela-
tive humidity, and ambient temperature may change dra-
matically on timescales of minutes. Photoacoustic light
absorption is obtained from
b
abs
¼
P
mic
P
Laser
A
res
g
RH
ðÞ
1
p
2
f
0
T
;
P
;
RH
ðÞ
QT
;
P
;
RH
ðÞ
¼
P
mic
P
Laser
A
res
g

1
p
2
f
0
Q
;
ð
1
Þ
where
P
mic
is the microphone pressure,
P
laser
is the laser
power,
A
res
is the cross-sectional area of the resonator,
g
is
the ratio of isobaric to isochoric specific heats,
f
0
is the
resonance frequency, and
Q
is the quality factor of the
resonator [
Arnott et al.
, 1995, 1999, 2000, 2003b;
Raspet et
al.
, 2003]. The first form of equation (1) indicates the
explicit dependencies on pressure, temperature, and RH.
Relative humidity, temperature, and pressure are measured
downstream of the photoacoustic resonator. The resonance
frequency and quality factor are also measured every 100 to
200 s using a piezoelectric transducer attached to the
resonator. The resonance scan is accomplished in about 3 s
as 5 points are used at different frequencies along with a
routine to determine the resonance frequency and quality
factor from a fit of the resulting curve to a theoretical
expression with 3 parameters. The third parameter is the
peak acoustic pressure at resonance. Though it is not needed
in equation (1) to determine light absorption, it is very useful
to have available as a means of quantifying microphone
calibration and performance over time, and its dependence on
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ambient conditions is a good check on the viability of making
sound pressure measurements aloft.
[
15
] Equation (1) indicates that several parameters are a
function of relative humidity (RH), temperature and pres-
sure. It is instructive to consider the dependence of these
thermophysical parameters on environmental conditions of
temperature, pressure and
RH
. First, define the fraction of
water vapor molecules as
h
, and note that it is given by
h
¼
0
:
01
RH
%
ðÞ
eT
ðÞ
P
;
ð
2
Þ
where the saturation vapor pressure of water vapor at
temperature
T
is
eT
ðÞ¼
6
:
11
mb
ðÞ
exp
aT

T
0
ðÞ
T

b

;
ð
3
Þ
with
a
= 17.269,
b
= 35.860, and
T
0
= 273.15 for
T
>
273.15 K. The value of
g
for moist air is
g
¼
7
þ
h
5
þ
h
:
ð
4
Þ
Consider a relatively extreme example of air being fully
saturated at temperature of 30 C and a total air pressure
of 500 mb. The saturation vapor pressure is
e

42 mb,
and
h
= 0.084. The value of (
g

1) for dry air is 0.4,
while for moist air it is 0.3934, for a percentage
difference of less than 2%. In other words, the variation
of
g
with air pressure and relative humidity in the
photoacoustic equation (1) is generally negligible, though
of course one could easily take it into account since the
requisite measurements to obtain it are available.
[
16
] The speed of sound in moist air is
c
¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
g
1000
RT
29

11
h
r
;
ð
5
Þ
where
R
is the universal gas constant and MKSA units are
used [
Bohn
, 1988]. The denominator of equation (5) is the
average molecular weight of moist air, and equation (4)
arises from the water vapor molecules having one more
degree of rotational freedom than the main diatomic
constituents of air. The density of moist air,
r
,is
r
¼
Pmb
ðÞ
RT
2
:
9

1
:
1
h
ðÞ
:
ð
6
Þ
The resonator quality factor can be expressed as
1
Q
Acoustic Power Lost per Cycle
Energy Stored
¼
1
Q
transport
þ
1
Q
loss
¼
d
h
r
þ
g

1
ðÞ
d
T
2
L
þ
1
r

þ
1
Q
loss
;
ð
7
Þ
where acoustic boundary layer losses occur in the thermal
and boundary layer thickness
d
h
¼
ffiffiffiffiffiffiffiffiffi
h
rp
f
0
r
;
d
T
¼
ffiffiffiffiffiffiffiffiffiffiffiffiffi
k
c
p
rp
f
0
r
¼
d
h
ffiffiffiffiffiffiffi
N
pr
p
;
ð
8
Þ
respectively, and
r
= 0.838 cm is the resonator radius, and
L
= 22.5 cm is the resonator length. The term involving
resonator length is due to dissipation of thermal energy in
the boundary layer at the ends of the resonator. No viscous
energy is dissipated here. A similar expression applies to
radial wave acoustical resonators [
Kamm
, 1976]. In
equation (8),
h
is the viscosity of the moist air,
k
is the
thermal conductivity,
c
p
is the isobaric heat capacity per
unit mass, and
N
pr
=
h
c
p
/
k
is the Prandtl number. The
Prandtl number of dry air at standard conditions is
approximately 0.7. Other fractional losses in equation (7)
might include microphone flexing due to its compliance,
bulk acoustic losses in the gas mixture, and possibly other
fluid dynamical motions of the gas such as vortex
generation at the relatively sharp corners in the resonator
section that occur where the resonator takes a perpendicular
corner [
Arnott et al.
, 2003a, 2005a]. In general, the other
fractional losses in the bulk of the gas [
Johnson et al.
,
1981] are due to free-space viscous and thermal damping
and are small compared to the losses of fluid kinetic energy
associated with the viscous boundary layer and fluid
potential energy associated with the thermal boundary layer
at the resonator wall, as the Q is a relatively modest value
of around 73.
[
17
] The resonator quality factor associated with transport
losses of thermal conduction and viscosity can be expressed
as
Q
transport
¼
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
p
f
0
Pmb
ðÞ
2
:
9

1
:
1
h
ðÞ
RT
h
s
r
ffiffiffiffiffiffiffi
N
pr
p
ffiffiffiffiffiffiffi
N
pr
p
þ
g

1
;
ð
9
Þ
neglecting the relatively small term in equation (7)
associate with the resonator length. The resonator is
operated in an acoustical mode such that one full acoustic
wavelength is spanned by the resonator length
L

22.4 cm. For example, the measured value in equation (7)
is
Q

73, with calculated
Q
transport
= 98 and inferred
Q
loss
= 300 for one atmosphere pressure and 20 C. The
condition for resonance can be approximated roughly by
considering wave propagation in a lossy resonator [
Arnott
et al.
, 1996], and taking the real part of the complex
propagation constant times the resonator length equal to
2
p
. This approach assumes that the boundary conditions
at the resonator ends are that the acoustic velocity goes to
zero. However, because of dissipation of acoustic potential
energy at the resonator terminations in the thermal boundary
layers at the microphone and piezoelectric transducer, this
boundary condition is only approximate. This effect is small
for the resonator discussed here. The resonance frequency can
be expressed in terms of the sound speed, quality factor, and
resonator length as
f
0
¼
c
L
1

1
2
Q
transport

;
ð
10
Þ
assuming that the frequency shift is due entirely to wall
absorption [
Johnson et al.
, 1981]. A lossless acoustical
resonator would have resonance frequency
f
0
=
c
/
L
.
[
18
] Equations (9) and (10) show that the primary
variation of the resonator quality factor and resonance
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