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    A new band-extended angular spectrum method (ASM) improves diffraction calculations. By extending the non-aliased bandwidth of the transfer function, it enhances accuracy for both near- and far-field wave propagation.

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    Area of Science:

    • Optics and Photonics
    • Computational Physics
    • Wave Propagation

    Background:

    • The standard angular spectrum method (ASM) faces aliasing issues, limiting its accuracy in far-field diffraction calculations.
    • Band-limited ASM accuracy degrades with propagation distance due to shrinking non-aliased transfer function bandwidth.
    • Accurate wave propagation modeling is crucial in various optical and physical applications.

    Purpose of the Study:

    • To introduce a novel band-extended angular spectrum method (ASM) for accurate near- and far-field diffraction calculations.
    • To overcome the limitations of traditional ASM and band-limited ASM in extended propagation scenarios.
    • To enhance the computational accuracy and range of wave propagation simulations.

    Main Methods:

    • The proposed method extends the non-aliased bandwidth of the transfer function (TF) in the spatial frequency domain.
    • Rearrangement of sampling points in the spatial frequency domain is employed to achieve bandwidth extension.
    • The extended bandwidth allows more frequency components of the TF to contribute to wave-field calculations.

    Main Results:

    • The band-extended ASM significantly extends the non-aliased bandwidth of the transfer function.
    • This extension leads to a much wider propagation range for accurate diffraction calculations.
    • Computational accuracy is substantially improved, especially for far-field predictions.

    Conclusions:

    • The band-extended ASM offers a highly accurate and robust solution for both near- and far-field diffraction.
    • This method effectively addresses the aliasing problem inherent in conventional ASM.
    • It provides a valuable tool for advanced wave propagation modeling with enhanced precision.