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In this paper, we have presented a new approach for the efficient calculation of the Greenpsilas functions inside a rectangular waveguide. The idea is to apply the Kummer transformation, using two static terms of the spectral domain Greenpsilas functions, obtained through a Taylor series expansion. Instead of applying the Ewald method to the whole series, it is only applied to the first static series...
A new efficient technique for computing the Green's functions inside rectangular waveguides is presented. After a summary of the classical approaches and their difficulties, a new strategy is proposed, based on the decomposition of the main spectral series into simpler terms. Although the resulting series present better convergence rate, several acceleration techniques are combined to further improve...
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