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Fast Operations for a Gabor-Frame-Based Integral Equation With Equidistant Sampling

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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.

Keywords: fast operations; integral equation; gabor frame; frame based

Journal Title: IEEE Antennas and Wireless Propagation Letters
Year Published: 2018

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