A new time‐domain transverse resonance method in solving guided wave problems

A new time-domain approach based on the frequency-domain transverse resonance method is proposed to solve guided wave problems. This new method is capable of solving both the two-dimensional and the three-dimensional propagation problems. The structure under investigation is cut into individual substructures. Time-domain Green's functions of each substructure are computed via the analytical inverse Laplace transform of the frequency-domain Green's functions. The original problem is reconstructed by connecting the cut-out substructures together through the interface boundary conditions. In order to verify the present approach, the empty rectangular waveguide is used as a comparison. With accurately calculated time-domain Green's functions, the data obtained are in good agreement with the analytical results.