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Modeling the long-range wave propagation by a split-step wavelet method

Abstract : A split-step wavelet method for simulating the long-range wave propagation is introduced. It is based on the fast wavelet transform. Compared to the split-step Fourier method, this method improves the computation efficiency while keeping a good accuracy. The propagation is performed iteratively by means of a pre-computed matrix containing the individual propagations of the wavelets. A fast computation method of this matrix is also presented. For the radiowave propagation in the low troposphere, a local image method is proposed to account for an impedance ground. Inhomogeneous atmospheres and irregular grounds are also considered. Finally, numerical tests of long-range propagations are performed to show the accuracy and time efficiency of this method.
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Submitted on : Tuesday, November 5, 2019 - 9:59:54 AM
Last modification on : Wednesday, November 3, 2021 - 5:38:46 AM
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Hang Zhou, Rémi Douvenot, Alexandre Chabory. Modeling the long-range wave propagation by a split-step wavelet method. Journal of Computational Physics, Elsevier, 2020, 402, pp.109042. ⟨10.1016/⟩. ⟨hal-02346081⟩



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