Premium
A Local Split‐Step Wavelet Method for the Long Range Propagation Simulation in 2D
Author(s) -
Bonnafont Thomas,
Douvenot Rémi,
Chabory Alexandre
Publication year - 2021
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2020rs007114
Subject(s) - propagator , wavelet , computation , computer science , algorithm , set (abstract data type) , range (aeronautics) , fourier transform , mathematics , mathematical analysis , aerospace engineering , artificial intelligence , engineering , mathematical physics , programming language
Modeling long‐range propagation of electromagnetic waves is necessary to study the performance of systems, for applications such as radar or navigation. Such models generally rely on split‐step Fourier (SSF) because large mesh sizes can be used. The split‐step wavelet method (SSW) is a recently developed method allowing to perform the same simulations as with SSF but in a shorter computation time. This method requires the pre‐computation of a free‐space propagator. Up to now, one limitation of SSW is that the steps must remain constant during the propagation. In this study, we propose an improvement of SSW in terms of memory size and versatility. This improvement relies on the use of a set of propagators, that is, the propagation of elementary wavelets. The limited support of wavelets renders the computation of the set of propagators fast, approximately as fast as one step of propagation with SSW. First, a numerical test shows the advantage in terms of computation time. Second, a numerical experience shows the advantage in terms of memory. Finally, the SSW method is applied as the direct method for a radio occultation configuration.