A Phase Correction for Long-Distance Propagation Using Split-Step Methods in Nonrectangular Domains

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 split-step method is less than
$\mathbf {-35}$
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 nonrectangular domain and shows good computational times.