Abstract
In this paper, a method to approximate a multi-layer Green`s function is proposed based on a FDTD scheme and a rational function approximation. For a given horizontal propagation wavenumber, time domain response is calculated and then Fourier transformed to the spectral domain Green`s function. Using the rational function approximation, the pole and residue of the Green`s function can be estimated, which are crucial for a calculation of a path loss. The proposed method can provide a wideband Green`s function, while the conventional normal mode method can be applied to a single frequency problem. To validate the proposed method, We consider two problems, one of which has a analytical solution. The other is about multi-layer case, for which the proposed method is compared with the known normal mode solution, Kraken.
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