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    This study demonstrates a novel method for collimating finite-size, polychromatic light sources using a single diffraction grating and a CMOS camera. The technique accurately predicts and measures beam properties, achieving precise source positioning for effective collimation.

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    Area of Science:

    • Optics and Photonics
    • Diffraction and Imaging

    Background:

    • Collimated beams are crucial for various optical applications.
    • Existing methods often focus on monochromatic point sources.
    • Collimating finite-size, polychromatic sources presents unique challenges.

    Purpose of the Study:

    • To analyze and develop a method for collimating finite-size, polychromatic light sources.
    • To utilize a single diffraction grating and CMOS camera for this purpose.
    • To derive analytical equations for predicting and measuring collimated beam properties.

    Main Methods:

    • Analyzing fringe period and amplitude diffracted by a grating.
    • Developing analytical equations for fringe characteristics.
    • Measuring fringe period close to the grating for finite-size sources.
    • Deriving an equation for source positioning error.

    Main Results:

    • Analytical equations were obtained to predict fringe amplitude and period.
    • The necessity of measuring fringe period close to the grating was established.
    • An analytical equation for source positioning error was derived.
    • Experimental validation confirmed the analytical formalism with a white LED and Ronchi grating.

    Conclusions:

    • The proposed method effectively collimates finite-size, polychromatic light sources.
    • The analytical framework accurately predicts experimental outcomes.
    • Precise source positioning is critical and can be determined with high accuracy.