3.1. Limb Radiance Observations
The ISS pitch-up/down operation provided a valuable opportunity for the CTI to profile the atmospheric limb radiation in the MWIR (midwave infrared) and LWIR (longwave infrared) bands. Although the pitch-up/down events were rare, the CTI acquired a few image sequences that demonstrated its capability and sensitivity of profiling limb radiances. The typical rate of ISS pitch-up/down is ~0.1°/s, which is much slower than the CTI frame rate. As a result, there was a stack of limb frames overlapped with each other in the pitch-up/down observations. The overlapped frames, each of which had a 3.67° × 2.93° field-of-view (FOV), allowed us to estimate the ISS pitch-up/down rate very accurately for each individual maneuver case.
Figure 1 illustrates the scenario when the ISS undertook a pitch-up operation. During incoming (i.e., Russian) vehicle docking, the ISS often pitched up in the direction opposite to its flight velocity. The CTI camera moved from its nadir view to a slant view and eventually to limb and space views.
Figure 1 shows the actual CTI band1 count measurements as the camera view angle moved towards the limb. The off-nadir CTI images during the pitch-up operation could have a large overlapped FOV with each other. At off-nadir pointing, the atmospheric pathlength also increased, which reduced the observed IR radiance. Because the atmospheric radiation made a significant contribution to the CTI radiance, and the atmosphere emits at a colder blackbody temperature than the surface, the increasing atmospheric pathlength tended to yield a colder brightness temperature or lower radiance. Known as the limb darkening effect, the decreasing count (or radiance) value towards the limb is evident in
Figure 1b.
Figure 2 and
Figure 3 show a daytime frame of CTI band1 and band2 limb radiances from an ISS pitch-down operation on 24 June 2019. Each frame produced a limb view of 148 × 118 km (column × row), moving slowly at a rate of 2.54 s/frame with respect to the pitch-down maneuver. In this case, the ISS was pitching down in the CTI column direction, and each frame had a vertical span of 118 km (256 pixels) with a ~460 m resolution in limb height. The CTI frame rate allowed a continuous observation of atmospheric limb emissions with a stack of overlapping images. In addition, one can average the CTI column measurements that had the same vertical resolution to improve the signal-to-noise ratio (SNR) of the limb radiance measurement. The limb radiance profiles in
Figure 2b and
Figure 3b are the averages of 10-pixel columns in the middle of the frame. Because of the vignetting effect (
Appendix A), the middle-frame pixels had a better sensitivity to atmospheric emissions than those on the edge. Especially for very weak limb radiances, the highest SNR pixels from the middle of the frame were selected to characterize the radiance profile at high altitudes.
Atmospheric O3 and H2O were the dominant sources of the limb radiance seen by CTI bands, and additional contributions from CO2 were evident in the band1 radiance at the mesospheric altitudes. Because of the relatively wide spectral bandwidth of the CTI bands, the emissions from these major atmospheric gases were always present in the CTI limb measurements, and atmospheric H2O became increasingly important at the lower tangent heights.
The observed limb radiances compared reasonably well with simulations from SCIATRAN, a radiative transfer model for the terrestrial atmosphere and ocean in the spectral range of 0.18–40 μm. SCIATRAN was developed for the SCanning Imaging Absorption spectroMeter for Atmospheric CartograpHY (SCIAMACHY) instrument and later generalized to include multiple scattering processes, polarization, thermal emission, and ocean–atmosphere coupling [
14]. The software is now capable of modeling unpolarized (scalar) spectral and angular distributions of the intensity or the polarimetric Stokes vector of the transmitted, scattered, reflected, and emitted radiation, assuming either a plane-parallel or a spherical atmosphere. SCIATRAN simulations for CTI were performed under the spherical atmosphere, taking inputs from the NRLMSISE-00 (Naval Research Laboratory Mass Spectrometer and Incoherent Scatter Radar Exosphere-2000) empirical model [
15]. The limb radiance spectra at 0.2–20 μm were computed for each tangent height up to 60 km and convolved with the CTI spectral functions to produce modeled CTI band1 and band2 radiances. The simulated CTI limb radiances did not exactly match the observed profile, because the input H
2O, O
3, and CO
2 profiles obtained from NRLMSISE-00 may not have been accurate enough to represent the real atmospheric state at the time when the observation was made. However, the simulation captured the basic features seen by the CTI bands, and the radiance values were in general agreement with the calibration based on VIIRS (
Appendix B).
3.2. Gravity Waves in CTI Limb Radiances
Atmospheric gravity waves (GWs) are the disturbances generated in a stably stratified layer where the density equilibrium is balanced between gravity and buoyancy forces. Often excited from the troposphere, GWs with horizontal scales of <1000 km can propagate upwards into the stratosphere and above while growing in amplitude. Both limb and nadir sounding techniques have been employed for GW observations [
8]. Limb techniques tend to yield better vertical resolution, whereas nadir observations have better horizontal resolution. However, most limb sounding instruments produce only a vertical scan (1D), which misses the two-dimensional (2D) perspective of propagating gravity waves in the atmosphere.
The high-resolution CTI limb view during the ISS pitch-up/down operation provided a new, attractive capability for 2D images of GW structures.
Figure 4 shows an example of GW-modulated limb radiances in the CTI images. Because the thermal emissions from atmospheric O
3 and H
2O layers are proportional to the density of these gases, the density disturbances induced by GWs manifest themselves as limb radiance fluctuations. In fact, the limb radiance fluctuations can be seen in the raw CTI data in the top panels of
Figure 4. By removing the background limb radiances, which were from a 11-pixel running mean of each detector column, these wave perturbations became more pronounced. One can readily see a tilted structure with respect to the limb horizon with an apparent vertical wavelength (~10 km). As illustrated in the previous CTI limb case, the limb height was not the tangent height, but it could be used to infer the tangent height by subtracting the surface tangent height estimated using the modeled limb radiance profile shape (e.g.,
Figure 2 and
Figure 3).
It requires more quantitative analysis to properly interpret the observed GW features in terms of GW horizontal and vertical wavelengths, because the CTI bands were broadband channels with contributions from both optically thin and optically thick emissions of atmospheric gases. Horizontal and vertical wavelengths are valuable GW properties to understand the origination, dissipation, and breakdown of GWs in the atmosphere [
16]. If the limb radiance is dominated by optically thin emissions, it is proportional to atmospheric gas concentration. In this case, the observed GW structures would indicate waves in horizontal and vertical propagation, as the gas concentration profile is modulated by GWs. A typical example of using the optically thin technique for GW observations can be found in [
17], in which vertical wave perturbations were extracted from each limb profile and consecutive perturbation profiles were tracked along the satellite track to find horizontal wave perturbations. In the case where the limb radiance is dominated by optically thick emissions, these radiances are essentially proportional to the temperature of the blackbody emission from a fixed atmospheric layer, which can occur at the bottom of limb radiance profile as seen in
Figure 2 and
Figure 3. In this case, the observed GW structures would mostly reflect the horizontal temperature fluctuations induced by waves [
18]. Examples include satellite slant-view MWIR imagery [
19] and cross-track LWIR sounding radiances [
20]. Using airborne IR limb imagery from multiple flight paths and viewing angles, Krisch et al. [
21] observed a tilted wave structure in limb temperature perturbations and was able to reconstruct the 3D GW structure with a tomographic retrieval. Here, the CTI demonstrated another case from space in which propagating GWs in the lower and middle atmosphere could be detected from high-resolution 2D limb IR imagery.
Not all CTI limb observations had a clear GW feature, but
Figure 5 captures another GW event in both band1 and band2 images. In this case, there was a distinct nighttime O
3 layer and the presence of GWs in the stratosphere. Despite very different radiance intensities, both bands revealed a similar wave structure in this FOV. GW-modulated radiance perturbations had clear tilted structures at 20–40 km limb heights with an apparent vertical wavelength of <10 km and a horizontal wavelength < 50 km. Like the case in
Figure 4 for band1, the waves in the lower stratosphere were tilted in a different direction than those in the upper stratosphere. These small-scale GWs, unresolved by global numerical weather prediction and climate model simulations, have been a great challenge in new model development because their momentum fluxes need to be taken into account through parameterization schemes in order to correctly determine atmospheric circulation and thermal structures [
22]. High-resolution thermal imagers such as CTI can provide the needed GW observations to guide future global model developments.
From the perturbation profiles in
Figure 4 and
Figure 5, we estimated that the single-pixel CTI radiance uncertainties (1-sigma) were ~4 and ~5 mW/m
2/μm/sr for band1 and band2, respectively. The estimation was based on the random radiance fluctuations in the deep-space portion of the images, such as the high-altitude measurements in
Figure 4 and
Figure 5. For significant GW detection, radiance oscillations need to have an amplitude 2-sigma greater than the radiance random error. Because of the high sensitivity and stability of the CTI SLS detector, these weak GW-induced limb radiance signals were detectable. Furthermore, the CTI radiance sensitivity, if converted to the minimum detectable brightness temperature using the look-up table in
Appendix B, would be ~0.1 K at 300 K, ~0.2 K at 273 K, and ~0.5 K at 250 K for band1; and ~0.04 K at 300 K, ~0.07 K at 273 K, and ~0.1 K at 250 K for band2.
3.3. Profiling Clouds from the Slant View
High-resolution CTI imagery provides the capability of profiling cloud tower temperatures from a slant viewing angle. As in the limb geometry, the slant-view geometry observes cloud towers from the side, and the pixel resolution turns into a vertical resolution for cloud profiles. In other words, instead of measuring cloud top temperature, CTI images at an oblique angle measure the vertical profile of cloud temperature. As shown in
Figure 6, this technique works particularly well for isolated cloud towers where there is little overlap between clouds. This frame from the ISS pitch-up operation had an ~80° incident angle or a distance of ~1470 km between the ISS and the center scene of the image. This distance suggests that a pixel had the vertical resolution of ~290 m from the side view of a cloud, which is comparable to the CloudSat radar resolution [
23].
We estimated the rate of ISS pitch-up/down using a series of frames, as shown in
Figure 7, when the Earth’s limb swept through the CTI images. In the case on 1 August 2019, the pitch-up plane was ~33° with respect to flight direction, such that the limb was not in parallel to either the image’s row or column orientation. From the estimated pitch-up rate (0.089°/s), we could track back the pointing angle of each frame with respect to the angle of the limb to determine the distance between the ISS and the imaged scene. From the distance, the vertical resolution of individual pixels could be calculated. As seen in
Figure 7, the near-side (closer to nadir) cloud towers had apparent heights that were taller than those of the far-side (closer to limb) towers, largely because of the differences in pixel vertical resolution from the distance effect.
A nighttime frame with isolated cloud towers on the near side of the CTI band image acquired on 1 August 2019 was particularly interesting, showing a clear vertical distribution of cloud temperature (
Figure 8). CTI had a vertical resolution of ~250 m for this cloud observation, and the two vertical cross sections cut through clouds show a temperature of 281 K at the cloud bottom, 263 K at the top for a taller tower, and 267 K at the top for a shorter tower. The gradually decreasing cloud temperature with height is expected for a colder atmosphere/cloud at higher altitudes. Such a side-view cloud temperature profile was reported from an airborne thermal imager with the potential to profile cloud thermodynamic phase and microphysical properties [
24]. Because of the high-resolution of CTI imagery, here we showed that profiling clouds from a side-viewing geometry could be achieved from space.
A more quantitative understanding of the vertical gradient of CTI cloud temperature profiles requires consideration of radiative transfer of thermal emissions from clouds and the atmosphere. Because atmospheric column water vapor (CWV) between clouds and the CTI can act to attenuate the cloud emission, the observed cloud vertical temperature profiles did not follow the atmospheric temperature lapse rate (e.g., ~7 K/km). This effect can be quantitatively described by a simple model as follows:
where
(
z) is the apparent brightness temperature profile observed by CTI,
is the CWV temperature,
(
z) is the cloud temperature profile,
is the CWV emission coefficient, and (1 −
) is the CWV attenuation on cloud emission. In the presence of CWV attenuation, the observed cloud temperature profiles would appear as a shallow slope. As shown in
Figure 8, with
= 0.55 and
= 280 K, the 7 K/km lapse rate would appear as the dashed line for the cloud closer to CTI (black curve), whereas the slope for the cloud farther away (red curve) would be shallower, as expected for more CWV attenuation (
= 0.67 and
= 280 K). Using a larger CWV value, the attenuated slope would match the observed cloud temperature profile.
3.4. Planetary Boundary Layer (PBL) Clouds
In addition to the new looks at limb and slant views, the high-resolution high-sensitivity imaging from the CTI has potential applications for remote sensing of clouds in the PBL. Because PBL clouds are close to the surface, they have relatively poorer contrast in IR images than in visible images, which makes it more challenging to observe PBL clouds at MWIR and LWIR wavelengths. On the other hand, observations of PBL clouds during both daytime and nighttime are highly desirable in order to study the diurnal cycle of these clouds.
The two cases in
Figure 9 show good contrast between PBL clouds and the surface background emission in CTI daytime and nighttime images. In the daytime case, broken PBL clouds during summer over the Mojave Desert were evident as a colder object against the hot surface. The surface temperature in Death Valley (Stovepipe Wells, California) on this day had reportedly reached an hourly maximum of 320 K, which was consistent with the CTI temperature estimated from the VIIRS calibration. Among other deserts (e.g., the Lut Desert in Iran or the Sonoran Desert in Mexica), Death Valley is one of the hottest places in the world in terms of land surface temperature (LST) [
25]. In addition to cloud and surface temperatures, the cloud shadow can also be seen in the CTI band1 image, showing a temperature slightly cooler than that of the surface but a warmer than that of the clouds.
The cloud–shadow pairs, separated roughly by the same distance, indicated that these PBL clouds had the same cloud base height (CBH).
Figure 10 presents a rough estimate of CBH from the cloud-to-shadow separation using a simple geometric calculation. Because the shadow reflects the horizontal extent of a cloud, which is largely determined by the cloud base, we interpreted the cloud height derived from the cloud shadow as the CBH. The CBH over deserts is a good measure of the convective condensation level (CCL) at which condensation begins to occur, which is the stability property of the atmosphere and has impacts on potential development of severe thunderstorms. From the cloud-to-shadow distance and the Sun’s elevation angle, we found that these clouds had a CBH of ~4.9 km. This high CBH was not surprising for a hot desert environment, given that a reported mean CBH was >2.5 km over the Mojave Desert during the summer [
26].
PBL cloud detection poses a greater challenge for passive IR imaging from space because of weak contrast between clouds and background surface emissions, and visible imagery is often brought to assist in cloud discrimination. At night, cloud detection has to rely solely on the thermal contrast in the IR imagery. Small-scale cloud and surface inhomogeneity constitute a major obstacle for IR imagers with coarser resolution to generate a significant cloud–surface contrast because of the blurring effect. Thus, the combined high resolution and high sensitivity of CTI thermal imagery can provide a significantly enhanced contrast between PBL clouds and background surface emissions.
Figure 9b illustrates a scene of nighttime PBL clouds above different surface backgrounds over the coast of Egypt. Since the ocean temperature is often warmer than near-surface air at night, PBL clouds can be readily classified as a cold feature. Because the CTI band1 had an excellent sensitivity (0.1–0.2 K at 273–300 K), these nighttime clouds could be reliably detected from a weak surface–cloud contrast. This capability is evident in
Figure 9b, where the LST gradient reduced the cloud–surface contrast over Egypt from the bottom of the image to the top. In this nighttime land case, PBL clouds were still visible at LST ~286 K, which was ~1 K warmer than the cloud temperature.
The CTI made a number of high-resolution observations over active volcanos and their surrounding environments. As shown in
Figure 11a, the CTI took a snapshot of Sarychev Peak on 11 October 2019, showing low clouds or volcanic ash plumes surrounding the volcano. Sarychev Peak is an active volcano that had a strong eruption in June 2009. Although there was no major eruption at the time of the CTI flight on ISS, small thermal anomalies were reported in infrared imagery during June–October 2019 [
27]. The volcanic plumes or plume-generated low clouds were quite distinct, with temperatures colder than the ocean, exhibiting a shape panning out from the volcano. On the other hand, volcanic islands can act as an obstacle to atmospheric flow, generating cloud wakes downstream. In nearly coincident observations, both Aqua/MODIS (Moderate Resolution Imaging Spectroradiometer) visible and CTI MWIR channels captured a cloud wake structure from the Kuril Islands (46°30′N 151°30′E) on 18 June 2019 (
Figure 11b). The cloud wakes were somewhat blurry in the MODIS image because of its 250 m pixel resolution, but they were more structured in the CTI image. In summary, the high-resolution, high-sensitivity CTI imagery showed additional capabilities for isolating low-level clouds.
3.5. Global Cloudiness and Diurnal Variations
The CTI on the ISS had nearly continuous operation between 2 May and 8 November 2019, allowing us to develop nearly global statistics of atmospheric and surface temperatures and their diurnal variations at latitudes covered by the ISS. Unlike the ECOsystem Spaceborne Thermal Radiometer Experiment on Space Station (ECOSTRESS) mission, which used an LWIR imager to measure land evapotranspiration for targeted regions [
28], the CTI made continuous observations of clouds and surfaces with a more uniform distribution in latitude and longitude under the ISS coverage. Therefore, the CTI data are particularly valuable to develop cloud temperature statistics for studying the LW radiation and their local-time variations.
To illustrate this CTI global sampling, we show in
Figure 12 a nighttime map of CTI band1 brightness temperatures from July 2019. The map reveals several well-known cold (e.g., deep convective clouds over ITCZ and SPCZ, Indian and African Monsoons, Tibetan Plateau, Rockies, and Andes) and warm (e.g., Sahara, Mideast) features. At MWIR wavelengths, upper-tropospheric clouds emitted at a colder temperature than the surface and thus manifested themselves as features with cold temperatures. These clouds were often associated with deep convection in the tropics and subtropics, as seen in
Figure 12. In addition, high mountains also emitted at a cold temperature, whereas clear-sky oceans and the oceans with low clouds tended to have high emission temperatures around 290 K at low latitudes. The Sahara and the Middle East were the warmest places in July at night.
Cloud-induced radiance/temperature variations are perhaps better illustrated using a probability density function (PDF) in which clouds manifest as a cold tail of the temperature distribution. The bin size of the band2 brightness temperature PDF was 1 K in this analysis. To compare the statistics of cloud and surface variations from different locations and times, we normalized the PDF by dividing it by the total number of samples in each bin. In other words, the sum of the normalized PDF was always unity. The normalized PDF was derived for each latitude (5°) and local time (2-hourly) bin from the data acquired in June–August (JJA) 2019.
The zonal mean PDF of CTI band2 brightness temperatures shown in
Figure 13a revealed several key atmospheric and surface features. Tropical deep convective clouds showed an enhanced PDF at cold temperatures, which resulted from the uprising branch of the Hadley circulation. This branch was flanked by two depressed PDFs in the subtropical latitudes, known as the subsiding regions of the Hadley circulation, which bring cold and dry air down to the lower troposphere. On the warm side of the subtropical PDFs, the enhanced distributions were primarily from hot daytime land surfaces. These warm features were from subtropical arid regions wherein surface temperatures varied strongly with the solar heating during daytime hours. At midlatitudes, clouds from baroclinic storms and extratropical cyclones were also evident as an enhanced PDF at cold temperatures. For the JJA months, the temperatures at the PDF peak were nearly constant (~292 K) at latitudes between 20°S and 30°N, as they were primarily determined by global ocean and moist atmospheric emissions. Although the CTI filter blocked the water vapor emission at 5–7 μm, there was still a significant amount of column water vapor contribution in the CTI band2 radiance, as seen in
Figure 3.
Because the ISS orbit has a nodal precession rate of ~6°/day, the CTI band2 sampling during JJA provided useful observations of the diurnal variation of Earth’s outgoing LWIR radiation. It takes roughly 60 days to sample the full diurnal cycle from ISS with a single node (i.e., the ascending or descending orbits only). However, with two nodes (i.e., both ascending and descending orbits), this sampling period can be shortened to ~30 days. From the ISS orbit, the CTI sampling provided two solar local times at the equator on a given day from the ascending and descending nodes, but the sampling reduced to one local time at the turning latitudes (i.e., 51.6°N/°S). In other words, we were able to obtain a full diurnal cycle with 30 days’ worth of CTI data at the equator but would need 60 days of data at the 51.6°N/°S latitudes. Seasonal cloud and surface variations may contaminate the diurnal result when a longer period of observations is used. Previous studies on cloud diurnal cycles from the ISS included a submillimeter wave radiometer [
29] and a lidar [
30].
The diurnal cycle of CTI brightness temperatures can be evaluated with respect to two reference times: solar local time (SLT) and coordinated universal time (UTC). SLT diagnostics focus on local solar heating and thermodynamic responses to the heating at a process level, whereas UTC diagnostics address the energy budget at a specific time from a global perspective. As shown in
Figure 13b for the local time dependence of temperature PDF, the mean CTI band2 temperature from 50°S–50°N latitudes was highly correlated with the occurrence of deep convective clouds: the greater the high-cloud cover, the lower the mean temperature. On average, the lowest mean temperature occurred at ~3 h after noon, although hot surfaces (T > 300 K) peaked around noon. With respective to UTC, the PDFs of CTI band2 temperature showed less variability at cold (cloud) temperatures, except at temperatures warmer than 295 K (mostly from land surfaces). The mean temperature showed only small variations with a peak at UTC = 08Z.
The PDFs of local time variations were more pronounced at individual latitude bins, as both solar surface heating and deep convective cloud developments are the driving processes at a regional scale (
Figure 14). The PDF diurnal variation at temperatures warmer than 295 K was a salient feature at most latitudes except 50°S. This temperature range captured the variations of the land surface temperature, which covaried with solar-angle-dependent heating. During JJA, differences in day length were clearly evident between the PDFs at 20°S and 20°N. At the colder temperatures, cloud-induced PDFs exhibited different local-time variations, ranging from a 4-hourly modulation at 20°S, to a 12-hourly one at 10°S and 20°N, to a 24-hourly one at 10°N. These latitude-binned diurnal variations contained a mixed signal from clouds over ocean and from land. Clouds over land tended to have a strong 24-h variation with a peak in the late afternoon, while tropical oceanic clouds tended to have a semidiurnal variation [
31,
32,
33]. The PDFs from deep convective clouds at 10°N also revealed a short (~3 h) lifetime of deep convective clouds, with the peak time in the early afternoon. The diurnal variation at 50°S was relatively weak, as most longitudes were covered by the Southern Ocean.
The PDFs of local-time variation for smaller regions provided a better understanding of the processes that drive diurnal differences. In the southwest United States (
Figure 15a), deep convective clouds in late afternoon were the dominant feature in the PDF, as JJA is the monsoon season, and late-afternoon storms are driven by strong solar heating over land. Over the Sahara (
Figure 15b), JJA is its wet season, with multiple distinct periods of rainfall, but the convective clouds were not as deep as those over the southwest United States. By contrast, surface temperature variation dominated the diurnal cycle in southern Africa (
Figure 15c), where there are very few clouds during the dry season. In the western Pacific warm pool (
Figure 15d), the PDF of CTI temperatures was consistent with the active period of cloud-top temperature PDFs from geostationary satellite IR sensors [
31]. In the Southeast Pacific, where stratocumulus clouds prevail (
Figure 15e), the CTI temperatures were mostly bounded between 278 and 290 K as the marine PBL clouds were capped by a 10–12 K temperature inversion [
34]. During the dry season over the Amazon rainforest (
Figure 15f), the diurnal range in surface temperatures was small, based on surface cooling from evapotranspiration. Convective rainfall could occur at multiple times through the day. In other Amazon regions, deforestation may change the amount of rainfall [
35] and the length of the dry season [
36].
We note that the decision to evaluate three months of data from CTI to improve the sampling for all local times and latitude bins (
Figure 14 and
Figure 15) may have led to some confounding effects from seasonal variability in the diurnal cycle. If the diurnal cycle was a repeatable pattern during June–July, the CTI observations would represent such diurnal variability. However, if the diurnal cycle had a significant seasonal modulation, the aggregated local-time variation would include this variability. Thus, the regional results shown in
Figure 15 should be viewed as a gross diurnal variation because of the limited number of samples acquired by CTI.
In summary, the stable detector performance and good radiometric sensitivity from CTI allowed consistent calibration for several months even when the ISS experienced very different beta angles and thermal environments. As a result, the CTI band2 calibrated brightness temperatures provided a reasonable diurnal variation of surface and cloud temperatures with respect to local time during JJA in 2019.