Abstract
Information based models for radiation emitted by a Black Body which passes through a scattering medium are analyzed. In the limit, when there is no scattering this model reverts to the Black Body Radiation Law. The advantage of this mathematical model is that it includes the effect of the scattering of the radiation between source and detector. In the case when the exact form of the scattering mechanism is not known a model using a single scattering parameter is derived. A simple version of this model is derived which is useful for analyzing large data.
Highlights
An Information Theory Radiation Model (ITRM) for radiation emitted by a black body passing through a scattering medium is analyzed
An Information Theory Radiation Model (ITRM) for radiation passing through a scattering medium radiated by a black body has been derived
Equation 2.22 is an approximation of the ITRM for the case when the form of the scattering mechanisms is not known
Summary
An Information Theory Radiation Model (ITRM) for radiation emitted by a black body passing through a scattering medium is analyzed. A variational method is used to derive three equations similar to the Black Body Radiation (BBR) law These equations include the effect of scattering. The second result is an equation for the case when the forms of the scattering mechanisms are not known In this case the model contains a single scattering parameter. The derivation of the case when the form of the scattering mechanism is not known is similar to one I presented in a previous publication [1] It was formulated for the analysis of the Cosmic Background Radiation. In the case when the radiation data is known, the source temperature and the average scattering parameter can be determined by comparing the data to calculated ITRM values. The total number of photons can change to fewer or more photons
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