Abstract.
Our
global
understanding
of
clouds
and
aerosols
relies
on
the
remote
sensing
their
optical,
microphysical,
macrophysical
properties
using,
in
part,
scattered
solar
radiation.
Current
retrievals
assume
form
plane-parallel,
homogeneous
layers
utilize
1D
radiative
transfer
(RT)
models.
These
assumptions
limit
detail
that
can
be
retrieved
about
3D
variability
cloud
aerosol
fields
induce
biases
for
highly
heterogeneous
structures
such
as
cumulus
smoke
plumes.
In
Part
1
this
two-part
study,
we
validated
a
tomographic
method
utilizes
multi-angle
passive
imagery
to
retrieve
distributions
species
using
RT
overcome
these
issues.
That
validation
characterized
uncertainty
approximate
Jacobian
used
retrieval
over
wide
range
atmospheric
surface
conditions
several
horizontal
boundary
conditions.
Here
2,
test
algorithm’s
effectiveness
synthetic
data
whether
accuracy
is
limited
by
use
Jacobian.
We
volume
extinction
coefficient
(σ3D)
at
40
m
resolution
from
multi-angle,
mono-spectral
35
derived
stochastically-generated
‘cumuliform’
(1
km)3
domains.
The
are
idealized
neglect
forward
modelling
instrumental
errors
with
exception
radiometric
noise;
thus
reported
lower
bounds.
σ3D
with,
average,
Relative
Root
Mean
Square
Error
(RRMSE)
<
20
%
bias
0.1
Maximum
Optical
Depth
(MOD)
17,
RRMSE
radiances
0.5
%,
indicating
very
high
shallow
As
MOD
increases
80,
worsen
60
−35
respectively,
reaches
16
incomplete
convergence.
This
expected
increasing
ill-conditioning
inverse
problem
decreasing
mean-free-path
predicted
theory
discussed
1.
tested
model
better
conditioned
but
less
accurate
due
more
aggressive
delta-M
scaling.
reduces
radiance
9
σ3D
−8
~80,
no
improvement
σ3D.
illustrates
significant
sensitivity
numerical
configuration
which,
least
our
circumstances,
improves
accuracy.
All
ensemble-averaged
results
robust
inclusion
noise
during
retrieval.
However,
individual
realizations
have
large
deviations
up
18
mean
which
indicates
uncertainties
optically
thick
limit.
Using
tomography
also
accurately
infer
optical
depths
(OD)
spanning
majority
oceanic,
(MOD
80)
provides
OD
than
36
respectively.
RT,
between
−30
−23
29
80
here.
Prior
information
or
other
sources
will
required
improve
limit,
where
shown
strong
spatial
structure
varies
viewing
geometry.
Journal of Geophysical Research Atmospheres,
Journal Year:
2024,
Volume and Issue:
129(19)
Published: Sept. 27, 2024
Abstract
Bi‐spectral
retrievals
of
droplet
effective
radius
and
cloud
optical
depth
are
widely
utilized
to
estimate
aerosol
interactions
(ACI)
in
warm
clouds
the
marine
boundary
layer.
Here,
we
assess
effect
retrieval
errors
due
neglect
3D
radiative
transfer
during
process
on
this
analysis
ACI.
We
use
an
ensemble
stochastically‐modeled
fields
simulations
study
at
a
solar
zenith
angle
30°.
Simulated
biases
number
concentration
(
N
d
)
for
all
three
MODIS
channels
vary
systematically
from
+35%
−80%
as
heterogeneity
increases.
Pixel‐level
can
be
much
larger.
Commonly
subsampling
strategies
do
not
reduce
systematic
variation
error.
Negative
error
correlations
between
produce
spuriously
negative
slopes
logarithm
liquid
water
path
(−1.0
−0.3).
Pixels
center
(8
km)
2
patches
that
overcast
have
relative
bias
−50%.
The
frequency
these
biased
pixels
varies
linearly
with
clear
fraction
data
form
basis
simple
parameterization
(CF).
Using
parameterization,
synthetic
experiments
indicate
estimates
first
indirect
tropical
ocean
overestimated
by
up
30%,
CF
is
50%,
neglecting
correlation
microphysics.
Abstract.
Our
global
understanding
of
clouds
and
aerosols
relies
on
the
remote
sensing
their
optical,
microphysical,
macrophysical
properties
using,
in
part,
scattered
solar
radiation.
These
retrievals
assume
form
plane-parallel,
homogeneous
layers
utilize
1D
radiative
transfer
(RT)
models,
limiting
detail
that
can
be
retrieved
about
3D
variability
cloud
aerosol
fields
inducing
biases
for
highly
heterogeneous
structures
such
as
cumulus
smoke
plumes.
To
overcome
these
limitations,
we
introduce
validate
an
algorithm
retrieving
optical
or
microphysical
atmospheric
particles
using
multi-angle,
multi-pixel
radiances
a
RT
model.
The
retrieval
software,
which
have
made
publicly
available,
is
called
Atmospheric
Tomography
with
Radiative
Transfer
(AT3D).
It
uses
iterative,
local
optimization
technique
to
solve
generalized
least-squares
problem
thereby
find
best-fitting
state.
iterative
fast,
approximate
Jacobian
calculation,
extended
from
Levis
et
al.
(2020)
accommodate
open
well
periodic
horizontal
boundary
conditions
(BC)
improved
treatment
non-black
surfaces.
We
validated
accuracy
calculation
derivatives
respect
both
volume
extinction
coefficient
parameters
controlling
across
media
range
depths
single
scattering
it
accurate
majority
over
oceanic
Relative
root-mean-square
errors
cloud-like
increase
2
%
12
Maximum
Optical
Depths
(MOD)
medium
increases
0.2
100.0
surfaces
Lambertian
albedos
<
0.2.
Over
0.7,
20
%.
Errors
exceed
50
unless
plane-parallel
providing
are
very
optically
thin
(~0.1).
use
theory
linear
inverse
provide
insight
into
physical
processes
control
tomography
identify
its
supported
by
numerical
experiments.
show
matrix
becomes
increasing
ill-posed
size
forward
peak
phase
function
decreases.
This
suggests
tomographic
will
become
increasingly
difficult
becoming
thicker.
Retrievals
asymptotically
thick
likely
require
other
sources
information
successful.
In
Part
this
study,
examine
how
varies
target
synthetic
data.
do
explore
error
nature
inversion
limit
affects
retrieval.
develop
method
improve
limit.
also
assess
surface
irradiances
compare
them
transfer.
Abstract.
Our
global
understanding
of
clouds
and
aerosols
relies
on
the
remote
sensing
their
optical,
microphysical,
macrophysical
properties
using,
in
part,
scattered
solar
radiation.
These
retrievals
assume
form
plane-parallel,
homogeneous
layers
utilize
1D
radiative
transfer
(RT)
models,
limiting
detail
that
can
be
retrieved
about
3D
variability
cloud
aerosol
fields
inducing
biases
for
highly
heterogeneous
structures
such
as
cumulus
smoke
plumes.
To
overcome
these
limitations,
we
introduce
validate
an
algorithm
retrieving
optical
or
microphysical
atmospheric
particles
using
multi-angle,
multi-pixel
radiances
a
RT
model.
The
retrieval
software,
which
have
made
publicly
available,
is
called
Atmospheric
Tomography
with
Radiative
Transfer
(AT3D).
It
uses
iterative,
local
optimization
technique
to
solve
generalized
least-squares
problem
thereby
find
best-fitting
state.
iterative
fast,
approximate
Jacobian
calculation,
extended
from
Levis
et
al.
(2020)
accommodate
open
well
periodic
horizontal
boundary
conditions
(BC)
improved
treatment
non-black
surfaces.
We
validated
accuracy
calculation
derivatives
respect
both
volume
extinction
coefficient
parameters
controlling
across
media
range
depths
single
scattering
it
accurate
majority
over
oceanic
Relative
root-mean-square
errors
cloud-like
increase
2
%
12
Maximum
Optical
Depths
(MOD)
medium
increases
0.2
100.0
surfaces
Lambertian
albedos
<
0.2.
Over
0.7,
20
%.
Errors
exceed
50
unless
plane-parallel
providing
are
very
optically
thin
(~0.1).
use
theory
linear
inverse
provide
insight
into
physical
processes
control
tomography
identify
its
supported
by
numerical
experiments.
show
matrix
becomes
increasing
ill-posed
size
forward
peak
phase
function
decreases.
This
suggests
tomographic
will
become
increasingly
difficult
becoming
thicker.
Retrievals
asymptotically
thick
likely
require
other
sources
information
successful.
In
Part
this
study,
examine
how
varies
target
synthetic
data.
do
explore
error
nature
inversion
limit
affects
retrieval.
develop
method
improve
limit.
also
assess
surface
irradiances
compare
them
transfer.
Abstract.
Our
global
understanding
of
clouds
and
aerosols
relies
on
the
remote
sensing
their
optical,
microphysical,
macrophysical
properties
using,
in
part,
scattered
solar
radiation.
Current
retrievals
assume
form
plane-parallel,
homogeneous
layers
utilize
1D
radiative
transfer
(RT)
models.
These
assumptions
limit
detail
that
can
be
retrieved
about
3D
variability
cloud
aerosol
fields
induce
biases
for
highly
heterogeneous
structures
such
as
cumulus
smoke
plumes.
In
Part
1
this
two-part
study,
we
validated
a
tomographic
method
utilizes
multi-angle
passive
imagery
to
retrieve
distributions
species
using
RT
overcome
these
issues.
That
validation
characterized
uncertainty
approximate
Jacobian
used
retrieval
over
wide
range
atmospheric
surface
conditions
several
horizontal
boundary
conditions.
Here
2,
test
algorithm’s
effectiveness
synthetic
data
whether
accuracy
is
limited
by
use
Jacobian.
We
volume
extinction
coefficient
(σ3D)
at
40
m
resolution
from
multi-angle,
mono-spectral
35
derived
stochastically-generated
‘cumuliform’
(1
km)3
domains.
The
are
idealized
neglect
forward
modelling
instrumental
errors
with
exception
radiometric
noise;
thus
reported
lower
bounds.
σ3D
with,
average,
Relative
Root
Mean
Square
Error
(RRMSE)
<
20
%
bias
0.1
Maximum
Optical
Depth
(MOD)
17,
RRMSE
radiances
0.5
%,
indicating
very
high
shallow
As
MOD
increases
80,
worsen
60
−35
respectively,
reaches
16
incomplete
convergence.
This
expected
increasing
ill-conditioning
inverse
problem
decreasing
mean-free-path
predicted
theory
discussed
1.
tested
model
better
conditioned
but
less
accurate
due
more
aggressive
delta-M
scaling.
reduces
radiance
9
σ3D
−8
~80,
no
improvement
σ3D.
illustrates
significant
sensitivity
numerical
configuration
which,
least
our
circumstances,
improves
accuracy.
All
ensemble-averaged
results
robust
inclusion
noise
during
retrieval.
However,
individual
realizations
have
large
deviations
up
18
mean
which
indicates
uncertainties
optically
thick
limit.
Using
tomography
also
accurately
infer
optical
depths
(OD)
spanning
majority
oceanic,
(MOD
80)
provides
OD
than
36
respectively.
RT,
between
−30
−23
29
80
here.
Prior
information
or
other
sources
will
required
improve
limit,
where
shown
strong
spatial
structure
varies
viewing
geometry.
Abstract.
Our
global
understanding
of
clouds
and
aerosols
relies
on
the
remote
sensing
their
optical,
microphysical,
macrophysical
properties
using,
in
part,
scattered
solar
radiation.
Current
retrievals
assume
form
plane-parallel,
homogeneous
layers
utilize
1D
radiative
transfer
(RT)
models.
These
assumptions
limit
detail
that
can
be
retrieved
about
3D
variability
cloud
aerosol
fields
induce
biases
for
highly
heterogeneous
structures
such
as
cumulus
smoke
plumes.
In
Part
1
this
two-part
study,
we
validated
a
tomographic
method
utilizes
multi-angle
passive
imagery
to
retrieve
distributions
species
using
RT
overcome
these
issues.
That
validation
characterized
uncertainty
approximate
Jacobian
used
retrieval
over
wide
range
atmospheric
surface
conditions
several
horizontal
boundary
conditions.
Here
2,
test
algorithm’s
effectiveness
synthetic
data
whether
accuracy
is
limited
by
use
Jacobian.
We
volume
extinction
coefficient
(σ3D)
at
40
m
resolution
from
multi-angle,
mono-spectral
35
derived
stochastically-generated
‘cumuliform’
(1
km)3
domains.
The
are
idealized
neglect
forward
modelling
instrumental
errors
with
exception
radiometric
noise;
thus
reported
lower
bounds.
σ3D
with,
average,
Relative
Root
Mean
Square
Error
(RRMSE)
<
20
%
bias
0.1
Maximum
Optical
Depth
(MOD)
17,
RRMSE
radiances
0.5
%,
indicating
very
high
shallow
As
MOD
increases
80,
worsen
60
−35
respectively,
reaches
16
incomplete
convergence.
This
expected
increasing
ill-conditioning
inverse
problem
decreasing
mean-free-path
predicted
theory
discussed
1.
tested
model
better
conditioned
but
less
accurate
due
more
aggressive
delta-M
scaling.
reduces
radiance
9
σ3D
−8
~80,
no
improvement
σ3D.
illustrates
significant
sensitivity
numerical
configuration
which,
least
our
circumstances,
improves
accuracy.
All
ensemble-averaged
results
robust
inclusion
noise
during
retrieval.
However,
individual
realizations
have
large
deviations
up
18
mean
which
indicates
uncertainties
optically
thick
limit.
Using
tomography
also
accurately
infer
optical
depths
(OD)
spanning
majority
oceanic,
(MOD
80)
provides
OD
than
36
respectively.
RT,
between
−30
−23
29
80
here.
Prior
information
or
other
sources
will
required
improve
limit,
where
shown
strong
spatial
structure
varies
viewing
geometry.