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Related Experiment Video

Updated: Sep 30, 2025

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2D least-squares mode decomposition for mode division multiplexing.

Pavel S Anisimov, Viacheslav V Zemlyakov, Jiexing Gao

    Optics Express
    |March 18, 2022
    PubMed
    Summary

    We developed a fast, accurate method for mode decomposition in multimode optical fibers using linear equations, avoiding machine learning. This technique efficiently handles up to fifteen modes, even with noise.

    Area of Science:

    • Optics and Photonics
    • Fiber Optics
    • Signal Processing

    Background:

    • Mode decomposition is crucial for understanding and utilizing multimode optical fibers.
    • Existing methods often rely on machine learning or iterative approaches, limiting speed and accuracy.
    • Accurate characterization of optical fiber modes is essential for advanced communication and sensing applications.

    Purpose of the Study:

    • To introduce a novel, fast, and accurate technique for mode decomposition in multimode optical fibers.
    • To reformulate the decomposition of near-field beam patterns as a system of linear equations.
    • To establish the applicability and limitations of the proposed method across different fiber types.

    Main Methods:

    • Reformulated near-field beam pattern decomposition as a system of linear equations.

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  • Applied the method to both step-index and graded-index optical fibers.
  • Developed an efficient algorithm for phase retrieval and a preselective procedure for mode enhancement.
  • Main Results:

    • The method demonstrates fast and accurate mode decomposition without machine learning or iterative routines.
    • Performance comparison between step and graded-index fibers was conducted, defining application boundaries.
    • The technique successfully handles up to fifteen modes in realistic noisy conditions.

    Conclusions:

    • The proposed linear equation-based method offers a significant advancement in speed and accuracy for optical fiber mode decomposition.
    • The technique is versatile, applicable to various fiber types, and robust against noise.
    • This approach enhances the number of decomposable modes, paving the way for more sophisticated fiber optic applications.