Infrared limb-darkening effects for the earth-atmosphere system
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Engineering topics
Publications and source records attributed to Suttles, J. T..
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Computer simulations of a least squares estimator operating on the ERBE scanning channels are discussed. The estimator is designed to minimize the errors produced by nonideal spectral response to spectrally varying and uncertain radiant input. The three ERBE scanning channels cover a shortwave band a longwave band and a ""total'' band from which the pseudo inverse spectral filter estimates the radiance components in the shortwave band and a longwave band. The radiance estimator draws on instantaneous field of view (IFOV) scene type information supplied by another algorithm of the ERBE software, and on a priori probabilistic models of the responses of the scanning channels to the IFOV scene types for given Sun scene spacecraft geometry. It is found that the pseudoinverse spectral filter is stable, tolerant of errors in scene identification and in channel response modeling, and, in the absence of such errors, yields minimum variance and essentially unbiased radiance estimates.
An infrared radiative transfer model has been developed for evaluating anisotropic functions in the longwave region (5-50 microns) due to limb-darkening effects in the earth's atmosphere. An accurate narrow-band model of absorption has been used for computing transmission functions of the atmosphere. Absorption due to all major and minor atmospheric constituents has been taken into account including the continuum absorption due to water vapor. Anisotropic functions have been calculated for several latitudinal and seasonal climatological-average model atmospheres. The effects of the variability of various meteorological parameters, e.g. surface temperature, surface relative humidity, and cloud-top height have been examined. It has been found that the variability of cloud parameters has the largest effect on the infrared anisotropic functions.
A study is presented of the solar radiation transfer in the complete earth-atmosphere system, and numerical results are compared with satellite data obtained during the Earth Radiation Budget Experiment on Nimbus 6, in August, 1975. Emphasis is placed on the upwelling radiance distribution at the top of the atmosphere, assumed to be at 50 km. The numerical technique is based on the finite difference method, which includes azimuth and spectral variations for the entire solar wavelength range. Detailed solar properties, atmospheric physical properties, and optical properties are used. However, since the property descriptions are based on a trade-off between accuracy and computational realities, aerosol and cloud optical properties are treated with simple approximations. The radiative transfer model is in good agreement with the satellite radiance observations. The method provides a valuable tool in analyzing satellite- and ground-based radiation budget measurements and in designing instrumentation.
Total upwelling radiance at the top of the atmosphere is evaluated theoretically in the presence of clouds. The influence of cloud heights, thicknesses and different cloud covers on the upwelling radiance is also investigated. The characteristics of the two cloud types considered in this study closely correspond to altocumulus and cirrus with the cloud emissivity as a function of its liquid water (or ice) content. For calculation of the integrated transmittance of atmospheric gases such as, H2O, CO2, O3, and N2O, the Quasi Random Band (QRB) model approach is adopted. Results are obtained in three different spectral ranges and are compared with the clearsky radiance results. It is found that the difference between the clearsky and cloudy radiance increases with increasing cloud height and liquid water content. This difference also decreases as the surface temperature approaches the value of the cloud top temperature.
Current needs in the field of atmospheric radiative transfer include the development and validation of fast but accurate calculation techniques for use in climate modeling. Progress toward meeting these needs can be made by application of existing computational techniques and use of observational data for radiation transfer across the earth-atmosphere system boundaries. In this study radiative transfer model simulations are compared to satellite observations of reflected solar radiation. Calculations are presented from both detailed and approximate transfer models for the solar radiation reflected from the earth-atmosphere system. These calculations are compared with the measurements made by the Earth Radiation Budget (ERB) experiment on Nimbus 6 in August 1975. Results show good agreement between simulations and observations.
The reported investigation has the objective to develop an accurate radiative transfer model for the thermal infrared region using a quasi-random band model. It is intended to use this model to examine the sensitivity of the outgoing radiance and flux density to the perturbations of such meteorological parameters on the surface emittance and temperature, atmospheric water vapor distribution, cloud altitude and fractional cover, and the concentrations of other infrared active constituents. It is found that the combined effect of N2O and CH4 on the flux is significant and exceeds 1 percent. These two constituents should, therefore, not be neglected in accurate modeling work. The effect of ozone on the flux is too large to be neglected and was partly responsible for the discrepancy between earlier model results and measurements. The effect of cloud depth should be taken into account to obtain better agreement with the measured limb darkening functions.
The reported investigation had the objective to develop an accurate radiative transfer model for the thermal infrared region using a quasi-random band model. It is intended to use this model to examine the sensitivity of the outgoing radiance and flux density to the perturbations of such meteorological parameters as the surface emittance and temperature, atmospheric water vapor distribution, cloud altitude and fractional cover, and the concentrations of other infrared active constituents. The outgoing infrared flux and limb darkening functions obtained from this model agree well with the satellite measured data. Important sensitivity parameters obtained agree with the results of the various empirical and theoretical models. It is concluded that the effect of cloud depth should be taken into account to obtain better agreement with the measured limb darkening functions.
The determination of the radiation heat flux densities at the top of the atmosphere (30 km) for spatial scales ranging from global to regional is necessary for the conversion of satellite irradiance measurements into useful earth radiation budget information. Data reduction algorithms are required which contain assumed directional characteristics of radiation emitted and scattered from the earth-atmosphere system. The directional characteristics are defined by models which express, for a given surface element at the top of the atmosphere, the exiting flux per unit solid angle for each direction out to space as a fraction of the total hemispheric flux exiting the surface element. Both longwave and shortwave directional radiation models are analyzed. It is found that the validity of the Nimbus 2-based limb darkening curves has generally been verified for the longwave data with the exception of the Antarctic snow fields where limb brightening was noticed in the earth radiation budget data.
One way to obtain estimates of the unknown parameters in a pollution dispersion model is to compare the model predictions with remotely sensed air quality data. A ground-based LIDAR sensor provides relative pollution concentration measurements as a function of space and time. The measured sensor data are compared with the dispersion model output through a numerical estimation procedure to yield parameter estimates which best fit the data. This overall process is tested in a computer simulation to study the effects of various measurement strategies. Such a simulation is useful prior to a field measurement exercise to maximize the information content in the collected data. Parametric studies of simulated data matched to a Gaussian plume dispersion model indicate the trade offs available between estimation accuracy and data acquisition strategy.
The Nimbus 6 ERB scanner data were conducted to support the development of the Earth Radiation Budget Satellite System project. The ERB data were processed in terms of Earth targets and angular bins and used to evaluate currently available directional radiation models for the longwave and shortwave spectral ranges. Results indicate that available longwave models are adequate for the most part while available shortwave models are inadequate. An effort was initiated to develop improved shortwave models for various cloud conditions and various surface types for cloud free conditions.
The paper describes a simulation of a filtering analysis which yields radiation distributions, measured by a wide-field-of-view radiometer on board an earth satellite, on a scale smaller than the field of view of the instrument. Mathematical models are developed to represent an orbiting wide-field-of-view radiometer to provide simulated measurement data. The simulated measurements are analyzed by a data inversion technique to obtain estimates of the radiation heat fluxes at the top of the atmosphere. By comparing the estimated field to a real radiation field, the effects of directional model errors and sampling strategies are revealed.
Curve-fit formulas are presented for the stagnation-point radiative heating rate, cooling factor, and shock standoff distance for inviscid flow over blunt bodies at conditions corresponding to high-speed earth entry. The data which were curve fitted were calculated by using a technique which utilizes a one-strip integral method and a detailed nongray radiation model to generate a radiatively coupled flow-field solution for air in chemical and local thermodynamic equilibrium. The range of free-stream parameters considered were altitudes from about 55 to 70 km and velocities from about 11 to 16 km.sec. Spherical bodies with nose radii from 30 to 450 cm and elliptical bodies with major-to-minor axis ratios of 2, 4, and 6 were treated. Powerlaw formulas are proposed and a least-squares logarithmic fit is used to evaluate the constants. It is shown that the data can be described in this manner with an average deviation of about 3 percent (or less) and a maximum deviation of about 10 percent (or less). The curve-fit formulas provide an effective and economic means for making preliminary design studies for situations involving high-speed earth entry.
A computer study was conducted to compare the numerical behavior of two approaches to describing the thermodynamic properties of oxygen near the critical point. Data on the relative differences between values of specific heats at constant pressure (sub p) density, and isotherm and isochor derivatives of the equation of state are presented for selected supercritical pressures at temperatures in the range 100 to 300 K. The results of a more detailed study of the sub p representations afforded by the two methods are also presented.
The radiation models were compared on the basis of the approaches used for the transport calculations and absorption coefficients and of results obtained for the radiation flux profiles and spectral distributions. The calculated results were for shock layer conditions representative of manned earth reentry from an interplanetary mission. The three models are RATRAP, RADICAL, and MDAC. The results show that significant differences exist in the radiation flux computed by the three models. The RADICAL model was found to depend on fewer approximations, to include more detail, and to require less computer time than the other models.
Viscous radiating flowfield coupled with ablation for computations on blunt body entering earth atmosphere at interplanetary return velocities
Numerical calculation of inviscid adiabatic flow field around blunt bodies at hypersonic speeds
Hypervelocity reentry simulation problems for slender and blunt bodies, defining significant parameters