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Accurate ray-tracing optical model for coded aperture spectral snapshot imagers.

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    A new analytical model for coded aperture spectral imaging (CASSI) systems accurately models image formation, considering distortions and misalignments. This enables faster and more precise instrument calibration for compressed sensing data processing.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Spectroscopy

    Background:

    • Coded aperture spectral imagers (CASSI) are crucial for compressed sensing data acquisition.
    • Accurate image formation modeling is essential for CASSI system design and calibration.
    • Existing models may not fully account for optical imperfections.

    Purpose of the Study:

    • To develop an analytical model for CASSI image formation.
    • To incorporate optical distortions, sampling effects, and misalignments into the model.
    • To enable accurate modeling and facilitate fast calibration of CASSI instruments.

    Main Methods:

    • Utilized ray-tracing equations for each optical component.
    • Developed an analytical model integrating optical distortions, sampling, and misalignments.
    • Performed numerical comparisons with existing simpler models.
    • Conducted experimental validation of the proposed model.

    Main Results:

    • The proposed analytical model accurately represents CASSI image formation.
    • The model effectively accounts for optical distortions, sampling effects, and misalignments.
    • Numerical and experimental results validate the model's accuracy and utility for calibration.

    Conclusions:

    • The developed analytical model offers a significant improvement for CASSI systems.
    • It provides a robust framework for accurate modeling and efficient calibration.
    • This work facilitates the advancement of coded aperture spectral imaging technologies.