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Beam-propagation method based on the Wigner transform: a new formulation.

D Dragoman, J P Meunier, M Dragoman

    Optics Letters
    |July 15, 1997
    PubMed
    Summary
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    A novel Wigner transform formulation accelerates scalar beam propagation calculations by eliminating the need for Fourier transforms. This new method offers significant speed advantages and demonstrates additional benefits in practical applications.

    Area of Science:

    • Optics and Photonics
    • Computational Electromagnetics

    Background:

    • The classical scalar beam-propagation method (BPM) is widely used for simulating light propagation.
    • Computational efficiency is crucial for complex optical system simulations.

    Purpose of the Study:

    • To develop a faster and potentially more advantageous formulation of the scalar beam-propagation method.
    • To leverage the Wigner transform for improved computational performance.

    Main Methods:

    • Derivation of a new scalar beam-propagation method formulation.
    • Utilizing the Wigner transform in the derivation process.
    • Comparison with the classical beam-propagation method.

    Main Results:

    • The new formulation avoids the computation of Fourier transforms.

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  • The proposed method demonstrates increased computational speed compared to the classical BPM.
  • An illustrative example highlights additional advantages of the new method.

    • Conclusions:

    • The Wigner transform-based scalar beam-propagation method offers a significant speed enhancement.
    • This new formulation presents a computationally efficient alternative for optical simulations.
    • Further advantages beyond speed are indicated, warranting further investigation.