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Inhomogeneous Plane-Parallel Atmospheres

  • Harriet H. Natsuyama
  • Sueo Ueno
  • Alan P. Wang

Abstract

This chapter builds upon the physical descriptions of scattering processes of Chapter 1. It develops via invariant imbedding techniques effective mathematical and computational models of diffuse reflection and transmission due to multiple scattering in vertically stratified media. It treats the determination of internal diffuse intensities without use of the unstable equations of transfer and the computation of source functions without having to solve their ill-conditioned integral equations. Furthermore, internal and external intensity fields as well as source functions due to vertically inhomogeneous distributions of emitting sources are obtained. The emphasis here is to obtain exact Cauchy problems which are well solved computationally and to present samplings of the extensive numerical results that have been obtained. Cauchy problems are initial value problems for systems of differential equations and are attractive for computational solution.

Keywords

Cauchy Problem Incident Angle Optical Thickness Source Function Scattered Radiation 
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Copyright information

© Springer-Verlag Tokyo 1998

Authors and Affiliations

  • Harriet H. Natsuyama
    • 1
  • Sueo Ueno
    • 2
  • Alan P. Wang
    • 3
  1. 1.Yorba LindaUSA
  2. 2.KyotoJapan
  3. 3.TempeUSA

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