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In this letter, an additional phase correction to Donohue and Kuttler's shift map theories is proposed. This correction enables a fast and accurate evaluation of the electromagnetic field at the receiver, both in terms of field amplitude and phase. Numerical tests are led in the troposphere, and the observed difference between the field computed with the corrected shift map and the field computed with a classic splitstep method is less than −35 dBV/m. The corrected shift map is also applied to a Radio Occultation configuration for which the phase information is important. The split-step wavelet method is applied in a reduced non-rectangular domain and shows good computational times.

.Computational design and analyses of nanoantennas obtained via surface shape optimization are presented. Starting with a kernel geometry, free deformations are applied on selected surfaces to reach optimal designs that can provide improved power enhancement capabilities at desired frequencies. An in-house implementation of genetic algorithms is efficiently combined with the multilevel fast multipole algorithm developed for accurate solutions of plasmonic problems to construct the effective optimization environment. The geometries obtained via optimization do not only represent optimal shapes within the allowed deformation limits but also reveal certain types of modifications on kernel geometries to improve their performances.