Frequency-domain Green’s functions for radar waves in heterogeneous 2.5D media
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Abstract:
Green’s functions for radar waves propagating in heterogeneous 2.5D media might be calculated in the frequency domain using a hybrid method. The model is defined in the Cartesian coordinate system, and its electromagnetic properties might vary in the [Formula: see text]- and [Formula: see text]-directions, but not in the [Formula: see text]-direction. Wave propagation in the [Formula: see text]- and [Formula: see text]-directions is simulated with the finite-difference method, and wave propagation in the [Formula: see text]-direction is simulated with an analytic function. The absorbing boundaries on the finite-difference grid are perfectly matched layers that have been modified to make them compatible with the hybrid method. The accuracy of these numerical Green’s functions is assessed by comparing them with independently calculated Green’s functions. For a homogeneous model, the magnitude errors range from [Formula: see text] through 0.44%, and the phase errors range from [Formula: see text] through 4.86%. For a layered model, the magnitude errors range from [Formula: see text] through 2.06%, and the phase errors range from [Formula: see text] through 2.73%. These numerical Green’s functions might be used for forward modeling and full waveform inversion.Keywords:
Regular grid
Regular grid
Finite difference
Unstructured grid
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