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Coherent field propagation between tilted planes.

Johannes Stock, Norman Girma Worku, Herbert Gross

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |October 17, 2017
    PubMed
    Summary

    This study introduces a quasi-fast algorithm for propagating light fields onto tilted planes, crucial for optical system simulations and hologram design. The method efficiently handles nonparallel plane propagation, overcoming limitations of standard Fourier transforms.

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    Area of Science:

    • Optics and Photonics
    • Computational Electromagnetics
    • Holography

    Background:

    • Propagating electromagnetic light fields between nonparallel planes is essential for advanced optical system design.
    • Simulating light propagation onto tilted planes is computationally challenging due to limitations with direct application of discrete fast Fourier transforms.

    Purpose of the Study:

    • To develop an efficient algorithm for calculating vectorial field distributions on tilted planes.
    • To address the complexities of light propagation between nonparallel planes in optical simulations.

    Main Methods:

    • A quasi-fast algorithm with a computational complexity of O(N^3 log N) is proposed.
    • The algorithm decomposes the propagation into three rotations.
    • It calculates the vectorial field distribution on a tilted plane using the spectrum of plane waves on equidistant grids.

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    Main Results:

    • The proposed algorithm effectively handles diffraction-based propagation of light onto tilted planes.
    • It avoids the need for nonuniform Fourier transforms or complex interpolation by working on equidistant grids.
    • The algorithm's performance is demonstrated through practical examples.

    Conclusions:

    • The developed quasi-fast algorithm provides an efficient solution for light field propagation between nonparallel planes.
    • This method simplifies simulations in areas like computer-generated holograms and optical system design.
    • The algorithm offers a practical approach without requiring complex interpolation techniques.