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Weighted-averaging operators for accurate 2.5D finite-difference frequency domain radar waves modeling

We propose an algorithm to accurately solve the frequency domain electromagnetic wave equation by finite-differences in 2.5D. The algorithm is based on previously published methods for viscoelastic waves, and relies on a nine-point stencil to build weighted-averaging numerical operators. The weights are chosen to minimize numerical dispersion and anisotropy, which allows relaxing the requirements on grid cell size and thus decreases computational costs. This new algorithm reduces the numerical error compared to central finite-difference method without increasing the numerical bandwidth of the matrix system to solve, and can be easily transposed to 3D frequency domain modeling.