Perspective of the uniaxial wavelet-transformed FDTD scheme
In this paper an investigation on computational efficiency for a spatial wavelet-transformed FDTD scheme is presented. The spatial transformation process has many degrees of freedom, like the wavelet filter, which direction of transformation and his corresponding scale. Their influence on the resulting picture of the time-depended electromagnetic field is important in finding the right settings. Whereas only a right chosen neglecting strategy of wavelet coefficients makes the scheme computational efficient and should not have negative impact on integral parameters. It turned out that an uniaxial transformation scheme on planar microwave structures in the direction of substrate height is the best choice in terms of pre-processing time and computation error. In combination with two introduced neglecting strategies onto the wavelet coefficients the influence on scattering parameter is small enough to be omitted and the appropriate computational effort is less in comparison with classical FDTD schemes.
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