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    Area of Science:

    • Optics
    • Photonics
    • Imaging Science

    Background:

    • Speckle arises from coherent light reflecting off rough surfaces, causing spatial irradiance fluctuations.
    • Existing understanding of speckle is primarily for continuous-wave (cw) illumination.
    • Emerging non-line-of-sight (NLoS) imaging techniques require understanding higher-order speckle from multiple reflections and modulated illumination.

    Purpose of the Study:

    • To investigate higher-order speckle phenomena relevant to advanced NLoS imaging.
    • To analyze speckle characteristics under both continuous-wave (cw) and amplitude-modulated coherent illumination.
    • To provide insights into the feasibility of NLoS imaging with current and emerging coherent light techniques.

    Main Methods:

    • Utilized a three-diffuser transmissive geometry as a model for three-bounce NLoS imaging.
    • Analyzed speckle irradiance variances in the small-diffuser limit for both cw and modulated illumination.
    • Investigated third-order cw speckle and first-order modulated speckle for extended diffuse reflectors.

    Main Results:

    • In the small-diffuser limit, cw and modulated nth-order speckle irradiance variances are equal.
    • Higher-order speckle irradiance variances are (2^n - 1) times those of first-order speckle.
    • For extended diffusers, speckle is unlikely to hinder cw NLoS imagers and potentially phasor-field imagers.

    Conclusions:

    • Speckle behavior in NLoS imaging scenarios, particularly with multiple reflections, is characterized.
    • The findings suggest that speckle effects are manageable for current and future coherent-illumination NLoS imaging systems.
    • This research supports the advancement of NLoS imaging technologies utilizing coherent light sources.