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  • 1975-1979  (3)
  • 1
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    The phase-integral method for radiative transfer problems with highly-peaked phase functions (1978)
    In:  Other Sources
    Details
    Publication Date: 2011-08-17
    Description: Complete solutions to the radiative transfer equation, including both azimuth and depth dependence, are provided by the discrete-ordinate method of Chandrasekhar, but these solutions are often limited because of large computer requirements. This paper presents a 'phase-integral' method which greatly reduces the number of discrete ordinates needed in the solution for highly peaked phase functions. A composite quadrature method is shown to be effective in further reducing the number of discrete ordinates required for highly anisotropic phase functions. Examples are given to indicate convergence requirements and expected accuracy in the complete solution for Henyey-Greenstein and cloud-type phase functions.
    Keywords: THERMODYNAMICS AND STATISTICAL PHYSICS
    Type: Journal of Quantitative Spectroscopy and Radiative Transfer; 20; Nov. 197
    Format: text
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  • 2
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    An improved technique for determining reflection from semi-infinite atmospheres with linearly anisotropic phase functions (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: A solution to the problem of reflection from a semi-infinite atmosphere is presented, based upon Chandrasekhar's H-function method for linearly anisotropic phase functions. A modification to the Gauss quadrature formula which gives about the same accuracy with 10 points as the conventional Gauss quadrature does with 100 points was developed. A computer program achieving this solution is described and results are presented for several illustrative cases.
    Keywords: PHYSICS (GENERAL)
    Type: NASA-TN-D-8011 , L-10153
    Format: application/pdf
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  • 3
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    Results of magnetospheric barium ion cloud experiment of 1971 (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: The barium ion cloud experiment involved the release of about 2 kg of barium at an altitude of 31 482 km, a latitude of 6.926 N., and a longitude of 74.395 W. Significant erosion of plasma from the main ion core occurred during the initial phase of the ion cloud expansion. From the motion of the outermost striational filaments, the electric field components were determined to be 0.19 mV/m in the westerly direction and 0.68 mV/m in the inward direction. The differences between these components and those measured from balloons flown in the proximity of the extremity of the field line through the release point implied the existence of potential gradients along the magnetic field lines. The deceleration of the main core was greater than theoretically predicted. This was attributed to the formation of a polarization wake, resulting in an increase of the area of interaction and resistive dissipation at ionospheric levels. The actual orientation of the magnetic field line through the release point differed by about 10.5 deg from that predicted by magnetic field models that did not include the effect of ring current.
    Keywords: GEOPHYSICS
    Type: NASA-TR-R-437 , L-9914
    Format: application/pdf
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