The Fourier Decomposition for a Radiative-Transfer

Problem with an Asymmetrically Reflecting Ground

L. B. Barichello,y R. D. M. Garciaz and C. E. Siewertx

yInstituto de Matem?atica

Universidade Federal do Rio Grande do Sul

91509-900 Porto Alegre, RS

Brasil

zCentro T?ecnico Aeroespacial

Instituto de Estudos Avan?cados

12231{970 S~ao Jos?e dos Campos, SP

Brasil

xCenter for Research in Scientific Computation

Mathematics Department

North Carolina State University

Raleigh, NC 27695{8205

USA

Abstract

Elementary considerations are used to carry out a Fourier decomposition of the radiation intensity for

a model atmosphere that has a ground defined by a general reflection function. In contrast to simpler

problems, the intensity here has both sine and cosine components that are coupled by way of the boundary

conditions at the ground.

March 25, 1996