Error model for Contour-FFT evaluation of the free-space on-plane Green's function

Gueuning, Quentin;Hubert, Simon;Craeye, Christophe;Oestges, Claude
(2016) 2016 URSI International Symposium on Electromagnetic Theory (EMTS) — Location: Espoo, Finland

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Abstract
Closed-form analytical expressions are derived for the numerical integration of the spectral Green's function with Contour-FFT. Results indicates that a proper uniform grid of spatial points enhances the convergence rate of the truncation error, that the Nyquist-Shannon theorem can be generalized to inverse Laplace transforms on linear path and that the relative error specific to Contour-FFT is a regularized gamma function. Two examples illustrate the modularity of the approach.
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Gueuning, Q., Hubert, S., Craeye, C., & Oestges, C. (2016). Error model for Contour-FFT evaluation of the free-space on-plane Green’s function. Proceedings 2016 URSI International Symposium on Electromagnetic Theory (EMTS), p. 312 - 314. https://doi.org/10.1109/URSI-EMTS.2016.7571383