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Structured decomposition design of partial Mueller matrix polarimeters.

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    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |September 15, 2015
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    Partial Mueller matrix polarimeters (pMMPs) offer a streamlined approach to analyzing light scattering. These instruments efficiently probe material properties by reconstructing only a subset of the Mueller matrix, reducing measurement requirements.

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    Area of Science:

    • Optical Engineering
    • Polarimetry
    • Materials Science

    Background:

    • Partial Mueller matrix polarimeters (pMMPs) are active sensing instruments.
    • Unlike full Mueller matrix polarimeters, pMMPs do not reconstruct the entire Mueller matrix.
    • pMMPs enable reduced measurements by selecting specific generator and analyzer polarization states.

    Purpose of the Study:

    • To analyze the structure of the Mueller matrix and its probing via reduced measurements.
    • To develop tools relating polarization states to measured Mueller matrix subspaces.
    • To optimize pMMP design for signal-to-noise ratio and accurate measurement of desired polarization components.

    Main Methods:

    • Analysis of Mueller matrix structure and probing capabilities.
    • Development of optimization methods for instrument design.
    • Identification of 10 classes of pMMP systems with known space coverage.
    • Numerical demonstration using a material damage monitoring example.

    Main Results:

    • Established a framework to link polarization states to measured Mueller matrix subspaces.
    • Developed an optimization method balancing signal-to-noise ratio and measurement accuracy.
    • Identified 10 distinct classes of pMMP systems.
    • Demonstrated an 8-measurement pMMP capable of covering the object's Mueller matrix subspace for material damage monitoring.

    Conclusions:

    • Partial Mueller matrix polarimetry offers an efficient alternative to full polarimetry.
    • The developed methods allow for the design of optimized pMMPs for specific applications.
    • Reduced measurement polarimeters can effectively monitor material states, such as damage.