Search NASASearch

Engineering topics

Barkstrom, B. R.

Publications and source records attributed to Barkstrom, B. R..

29 records · Page 2

The measurement of the earth's radiation budget as a problem in information theory - A tool for the rational design of earth observing systems

The measurement of the earth's radiation budget has been chosen to illustrate the technique of objective system design. The measurement process is an approximately linear transformation of the original field of radiant exitances, so that linear statistical techniques may be employed. The combination of variability, measurement strategy, and error propagation is presently made with the help of information theory, as suggested by Kondratyev et al. (1975) and Peckham (1974). Covariance matrices furnish the quantitative statement of field variability.

Barkstrom, B. R.

Effect of atmospheric scattering and surface reflection on upwelling solar radiation

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.

Suttles, J. T.

An example of the nonlinearity of clear and cloudy radiant exitances in the presence of three-dimensional cloud structure

It is nearly universally assumed that the relationship between fractional cloud cover and radiant exitance is linear. There seems to be, however, little quantitative justification for this assumption, and recent work appears to cast considerable doubt even on this assumption. The reported investigation reinforces this doubt. It is found that the radiation field over three-dimensional broken clouds may differ markedly from that over two-dimensional fields. Including the thickness of the clouds appears to be equivalent to increasing the cloud cover. Broken clouds with finite thicknesses are found to be more effective at influencing radiation than are infinitely thin clouds of finite optical depth. Attention is given to the effect of the geometric arrangement of cloud fields. It is pointed out that this arrangement can cause substantial deviations from the often used linear relationship.

Barkstrom, B. R.

The Earth Radiation Budget Experiment /ERBE/ - An overview

An overview of the Earth Radiation Budget Experiment (ERBE) is presented along with a brief history relative to the evolution of the ERBE science measurement requirements. A description of the ERBE instrument is presented which includes both the non-scanner and scanner instrument packages. In addition, ERBE science investigations are summarized. The ERBE, to be flown on a three-satellite mission in the 1980's will, for the first time, provide radiation measurements with sufficient spatial and temporal resolution to determine the monthly average radiation budget on regional, zonal, and global scales and the diurnal variation on regional and monthly scales.

Barkstrom, B. R.

Some effects of 8-12 micron radiant energy transfer on the mass and heat budgets of cloud droplets

In standard treatments of the mass and energy budget of cloud droplets, radiant energy transfer is neglected on the grounds that the temperature difference between the droplet and its surroundings is small. This paper includes the effect of radiant heating and cooling of droplets by using the Eddington approximation for the solution of the radiative transfer equation. Although the calculation assumes that the cloud is isothermal and has a constant size spectrum with altitude, the heating or cooling of droplets by radiation changes the growth rate of the droplets very significantly. At the top of a cloud with a base at 2500 m and a top at 3000 m, a droplet will grow from 9.5 to 10.5 microns in about 4 min, assuming a supersaturation ratio of 1.0013. Such a growth rate is more than 20 times the growth rate for condensation alone, and may be expected to have a significant impact on estimates of precipitation formation as well as on droplet spectrum calculations.

Barkstrom, B. R.

Some aspects of the interaction of radiation with the thermal and mass budgets of cloud droplets

It is shown that the effects of radiative heating or cooling can have a substantial influence on the mass budget of a cloud droplet and thus on the microphysical properties of a cloud as a whole. The radiative transfer equation, including all orders of multiple scattering, is solved for spectral windows of earth's atmosphere by adopting the Eddington approximation and assuming that the cloud is isothermal and illuminated by fluxes from both the ground and the sky. The results obtained for the 8-12-micron window indicate that radiative cooling can increase a droplet's growth rate and may also make the droplet cooler than the surrounding gas while water vapor is diffusing in, which would cause diffusiophoreisis and thermophoreisis to combine and increase the efficiency with which droplets would scavenge aerosols.

Barkstrom, B. R.

A finite difference method of solving anisotropic scattering problems

A new method of solving radiative transfer problems is described including a comparison of its speed with that of the doubling method, and a discussion of its accuracy and suitability for computations involving variable optical properties. The method uses a discretization in angle to produce a coupled set of first-order differential equations which are integrated between discrete depth points to produce a set of recursion relations for symmetric and anti-symmetric angular sums of the radiation field at alternate depth points. The formulation given here includes depth-dependent anisotropic scattering, absorption, and internal sources, and allows arbitrary combinations of specular and non-Lambertian diffuse reflection at either or both boundaries. Numerical tests of the method show that it can return accurate emergent intensities even for large optical depths. The method is also shown to conserve flux to machine accuracy in conservative atmospheres

Barkstrom, B. R.

The diffusion approximation. An application to radiative transfer in clouds

It is shown how the radiative transfer equation reduces to the diffusion equation. To keep the mathematics as simple as possible, the approximation is applied to a cylindrical cloud of radius R and height h. The diffusion equation separates in cylindrical coordinates and, in a sample calculation, the solution is evaluated for a range of cloud radii with cloud heights of 0.5 km and 1.0 km. The simplicity of the method and the speed with which solutions are obtained give it potential as a tool with which to study the effects of finite-sized clouds on the albedo of the earth-atmosphere system.

Arduini, R. F.

On the use of a finite difference method for solving anisotropic scattering problems

A new method of solving the radiative transfer equation is developed in which the scattering and absorption coefficients may have arbitrary variations with depth, and in which both internal (thermal) emission and incident radiation are allowed. Specular and diffuse reflection at both boundaries also is taken into account. The method begins by forming a paired set of coupled first-order differential equations for the symmetric and antisymmetric parts of the radiation field after writing the scattering integral as a numerical quadrature. These differential equations are broken into finite difference form, in which the symmetric and antisymmetric parts of the radiation field are found on alternate grid points. Numerical results for a number of test problems are shown, demonstrating that the method is very fast, that it returns specific intensities and fluxes that are accurate to at least a percent, and that it can be applied to optically thick problems.

Barkstrom, B. R.