We consider the computation time of a three-dimensional Gabor-frame-based spatial–spectral integral equation solver for scattering from dielectric objects embedded in a multilayer medium. Based on the Gabor frame, a new… Click to show full abstract
We consider the computation time of a three-dimensional Gabor-frame-based spatial–spectral integral equation solver for scattering from dielectric objects embedded in a multilayer medium. Based on the Gabor frame, a new set of basis functions is proposed, together with a set of equidistant Dirac-delta test functions. Using this construction, we approximate the operations of Fourier transformation and pointwise multiplication by a method that is significantly faster than the original method. A numerical example is included where the computation time is reduced by a factor of 15, while preserving accuracy.
               
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