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The Beer-Lambert law describes the relationship between absorbance and concentration, which combines the principles established by scientists Johann Heinrich Lambert and August Beer. Lambert's law states that when light passes through a medium, the loss in intensity is directly proportional to the original intensity and the path length of the light. Beer's law proposed that the transmittance of a solution remains constant if the product of concentration and path length is constant. The modern...

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Minimum cross-entropy inversion of satellite photometer data.

E Yee, K V Paulson, G G Shepherd

    Applied Optics
    |May 22, 2010
    PubMed
    Summary

    The minimum cross-entropy principle helps solve the non-unique problem of inverting satellite photometry data for upper atmosphere optical emissions. This method reconstructs volume emission rates effectively using an iterative algorithm.

    Area of Science:

    • Atmospheric physics and remote sensing.
    • Optical aeronomy and space physics.

    Background:

    • Satellite photometry data inversion for upper atmosphere optical emissions lacks a unique solution.
    • Understanding the 2-D distribution of volume emission rates is crucial for atmospheric studies.

    Purpose of the Study:

    • To address the non-uniqueness issue in satellite photometry data inversion.
    • To apply the minimum cross-entropy (MCE) principle for selecting the most non-informative volume emission rate distribution.
    • To develop and validate an iterative algorithm for MCE reconstruction.

    Main Methods:

    • Application of the minimum cross-entropy (MCE) principle as a data inversion criterion.
    • Development of a practical and effective iterative algorithm for MCE reconstruction.

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  • Testing the algorithm with both synthetic and real satellite photometer data.

    • Main Results:

    • The MCE principle provides a rational criterion for selecting volume emission rate distributions.
    • The developed iterative algorithm successfully computes MCE reconstructions.
    • The inversion scheme demonstrates effectiveness on both synthetic and real-world data.

    Conclusions:

    • The minimum cross-entropy principle offers a robust solution to the non-unique inversion problem in satellite photometry.
    • The developed iterative algorithm is effective for reconstructing 2-D volume emission rates in the upper atmosphere.
    • This approach enhances the accuracy and reliability of upper atmospheric optical emission studies.