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Propagation of electromagnetic fields between non-parallel planes: a fully vectorial formulation and an efficient

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    This study presents an efficient numerical method for electromagnetic field propagation between non-parallel planes using interpolation and the fast Fourier transform (FFT). Cubic interpolation with the uniform FFT achieves high accuracy and computational efficiency.

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    Area of Science:

    • Electromagnetics
    • Computational Physics
    • Numerical Analysis

    Background:

    • Electromagnetic field propagation between non-parallel planes is a complex problem.
    • Existing methods may lack computational efficiency or generalized vectorial formulations.

    Purpose of the Study:

    • To develop and present formulations for an efficient numerical implementation of electromagnetic field propagation between non-parallel planes.
    • To enhance computational efficiency and simulation accuracy using interpolation techniques and the fast Fourier transform (FFT).

    Main Methods:

    • Spectrum-of-plane-wave analysis for electromagnetic field propagation.
    • Numerical implementation utilizing interpolation techniques and the uniform fast Fourier transform (FFT).
    • Comparative numerical examination of different interpolation techniques, focusing on cubic interpolation.

    Main Results:

    • Efficient numerical implementation achieved through interpolation techniques and the uniform FFT.
    • Cubic interpolation combined with the uniform FFT significantly enhances computational efficiency and simulation accuracy.
    • Formulations are generalized in a fully vectorial manner, offering broader applicability.

    Conclusions:

    • The proposed method offers a computationally efficient and accurate solution for simulating electromagnetic fields between non-parallel planes.
    • The integration of cubic interpolation and uniform FFT provides a robust approach for advanced electromagnetic simulations.
    • This work advances the field by providing generalized vectorial formulations for enhanced numerical analysis.