A Fast Wavelet-to-Wavelet Propagation Method for the Simulation of Long-Range Propagation in Low Troposphere

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

1 CAUC - Civil Aviation University of China
2 ENAC - Ecole Nationale de l'Aviation Civile

As an alternative method to the discrete split-step Fourier method, the split-step wavelet method has recently been derived. This method based on a wavelet decomposition of the field is efficient and accurate in simulating the long-range propagation of electromagnetic waves in the low troposphere. In this paper, to further improve the computational efficiency and take full advantage of wavelet characteristics, a waveletto-wavelet propagation method is proposed. The propagation, variable refractivity, and apodization are accounted in the wavelet domain. The computational complexity is reduced, since no transforms are performed between wave fields and wavelet coefficients. This method works well for the propagation over a planar ground with a constant impedance. When a variable impedance ground condition and/or an irregular relief are considered, a hybridization with the split-step wavelet method is proposed. These methods are tested and validated by means of numerical experiments, showing very good efficiency and accuracy.

Mots clés: Wavelet; propagation; electromagnetic wave; split-step method; refractivity; impedance ground; relief

Domaines: Electromagnétisme

Hang Zhou, Alexandre Chabory, Rémi Douvenot. A Fast Wavelet-to-Wavelet Propagation Method for the Simulation of Long-Range Propagation in Low Troposphere. IEEE Transactions on Antennas and Propagation, 2022, 70 (3), pp.2137-2148. ⟨10.1109/TAP.2021.3118821⟩. ⟨hal-03381905⟩