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Updated: Feb 11, 2026

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Single shot multi-wavelength phase retrieval with coherent modulation imaging.

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    This study introduces a novel multi-wavelength phase retrieval method using common coherent modulation imaging (CMI) and a low-rank algorithm. The technique simultaneously reconstructs the complex amplitude of multiple wavelengths from diffraction intensity, enabling advanced imaging applications.

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    Area of Science:

    • Optics and Photonics
    • Image Reconstruction
    • Coherent Modulation Imaging

    Background:

    • Phase retrieval is crucial for reconstructing wavefronts.
    • Common coherent modulation imaging (CMI) typically requires monochromatic or coherent illumination.
    • Simultaneous multi-wavelength imaging presents significant reconstruction challenges.

    Purpose of the Study:

    • To develop a single-shot, multi-wavelength phase retrieval method.
    • To extend CMI to partially coherent and multi-wavelength scenarios.
    • To enable simultaneous reconstruction of complex amplitude for multiple wavelengths.

    Main Methods:

    • Combining common coherent modulation imaging (CMI) with a low-rank mixed-state algorithm.
    • Illuminating a sample with a multi-wavelength beam.
    • Using a random phase plate to generate speckle patterns from the superposition of diffraction patterns of each wavelength.
    • Reconstructing the complex amplitude (modulus and phase) for each wavelength from recorded diffraction intensity.

    Main Results:

    • Simultaneous reconstruction of modulus and phase for multiple wavelengths was achieved.
    • The method's feasibility was experimentally verified using visible light.
    • Demonstrated successful phase retrieval from incoherent superposition of diffraction patterns.

    Conclusions:

    • The proposed method successfully enables multi-wavelength phase retrieval in a single shot.
    • This technique makes CMI feasible with partially coherent illumination.
    • The method has potential applications in diverse fields requiring simultaneous multi-wavelength analysis.