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Parameterization of the Mueller matrix.

Colin J R Sheppard

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |December 2, 2016
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    Summary
    This summary is machine-generated.

    This study simplifies Mueller matrix analysis by expressing its parameters using coherence vectors. This parametric approach reveals relationships between matrix elements and anisotropy coefficients for better characterization.

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    Area of Science:

    • Optics and Photonics
    • Mathematical Physics

    Background:

    • Mueller matrices characterize the polarization properties of light-matter interactions.
    • Deterministic Mueller matrices (Mueller-Jones matrices) are defined by seven independent parameters.
    • Understanding the relationships between these parameters is crucial for accurate optical analysis.

    Purpose of the Study:

    • To develop a parametric representation of Mueller matrices using coherence vectors.
    • To simplify the expression and analysis of Mueller matrix properties.
    • To establish a framework for understanding the relationship between Mueller matrix elements and anisotropy coefficients.

    Main Methods:

    • Parametric representation of the coherence vector.
    • Derivation of a parametric form for the Mueller matrix.
    • Generalization to express all 16 Mueller matrix elements using a scalar and five 3D vectors.

    Main Results:

    • Mueller matrix elements are shown to automatically satisfy known relationships when expressed parametrically.
    • Three parameters are identified as related to anisotropy coefficients.
    • A generalized approach expresses all 16 Mueller matrix elements using a scalar and five vectors.

    Conclusions:

    • The parametric approach offers a simplified and unified method for Mueller matrix analysis.
    • This framework facilitates the study of Mueller matrix properties and their physical interpretations.
    • The method is applicable to analyzing published experimental Mueller matrices.