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Focal plane filter array engineering I: rectangular lattices.

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    A new formalism enables the design of periodic optical filter arrays for focal plane arrays (FPAs). This method unifies the engineering of color and polarization filter designs for improved irradiance measurements.

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    Area of Science:

    • Optics and Photonics
    • Sensor Technology
    • Materials Science

    Background:

    • Focal plane arrays (FPAs) typically measure irradiance with limited spectral or polarization sensitivity.
    • Spectral measurements often use color filter arrays, while polarization uses separate filter arrays.
    • Existing methods for spectral and polarization filtering are distinct, despite shared design principles.

    Purpose of the Study:

    • To develop a unified formalism for designing periodic optical filter arrays on rectangular lattices.
    • To provide a systematic approach for engineering filter arrays for diverse optical applications.
    • To link the design and engineering methodology for color and polarization filter arrays.

    Main Methods:

    • Derivation of a mathematical formalism for periodic filter array design.
    • Analysis of system description based on unit cells, pixel shape, and unit cell geometry.
    • Application of the formalism to periodic tilings on a rectangular lattice.

    Main Results:

    • A complete formalism for designing any periodic filter array on a rectangular lattice.
    • The formalism allows for a unified approach to engineering filter arrays.
    • Enables precise control over channel structure for irradiance measurements.

    Conclusions:

    • The derived formalism provides a unified framework for designing periodic optical filter arrays.
    • This approach simplifies the engineering of filter arrays for both spectral and polarization measurements.
    • The method is applicable to various optical filter types and lattice structures for irradiance detection.