Reflection function from a double layer — A new approach

Details Reflection function from a double layer — A new approach Reflection function from a double layer — A new approach

May 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..28..115b&link_type=abstract

Astrophysics and Space Science, Volume 28, Issue 1, pp.115-128

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

To improve the accuracy of calculations for the reflection and transmission functions, doubling techniques are in use. The central theme of this method is to derive the total reflection function when two portions of a medium are adjoined together. The synthesis is done by the use of star product techniques which require a knowledge of theS andT functions of both parts of the medium. Infinite series expansion is necessary to compute the total reflection. The method developed in this article splits the total reflected beam into two parts, one relating to that flux which suffers no scattering at all in the first portion of the medium and the second portion that undergoes at least one scattering in the first portion. The first part can be evaluated simply by knowing the reflection function of the second portion of the medium. The other part of the total reflection for variations of the thickness of the first portion of the medium is found to obey a simple Riccati type integro-differential equation with zero initial conditions. Knowledge of theT functions is not necessary and integration has to be performed over the interval corresponding to thickness of the first portion of the medium. Order-of-scattering analysis is also carried out.

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