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

Hang Zhou (1) , Rémi Douvenot (2) , Alexandre Chabory (2)

1 Sino-European Institute of Aviation Engineering
2 ENAC - Ecole Nationale de l'Aviation Civile

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.

Domaines: Electromagnétisme

Hang Zhou, Rémi Douvenot, Alexandre Chabory. Modeling the long-range wave propagation by a split-step wavelet method. Journal of Computational Physics, 2020, 402, pp.109042. ⟨10.1016/j.jcp.2019.109042⟩. ⟨hal-02346081⟩