Abstract
A concept of a quasi-wave method (QWM) of the order p = n − s is introduced with n and s being the total number of coordinates and the number of slow coordinates, respectively. The exact method (EM) at p = n, the parabolic equation method for 2 ≤ p < n, the QWM at p = 1, and geometric optics (GO) at p = 0 are particular cases of the QWM. It is shown for n = 3 that, under weaker assumptions, the QWM makes it possible to avoid difficulties intrinsic to the EM and GO as well as severe restrictions imposed on calculation models for GO and the theory of plane waves.
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Original Russian Text © R.L. Evel’son, 2014, published in Radiotekhnika i Elektronika, 2014, Vol. 59, No. 12, pp. 1172–1179.
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Evel’son, R.L. The quasi-wave method as the basis of an analytical apparatus for the development of the scale of asymptotic methods and of a soft mathematical model in high-frequency electromagnetics. J. Commun. Technol. Electron. 59, 1333–1340 (2014). https://doi.org/10.1134/S1064226914120043
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DOI: https://doi.org/10.1134/S1064226914120043