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We propose a new method for estimating rain attenuation at high frequencies. Although this method is based on the Mie theory, it is much faster than older methods because of a reduction in the number of calculations. In other words, instead of using the Mie theory on all drop diameters, the calculation is performed on only the mean value as an indicator of distribution. At the end, the answer must be corrected by a factor. We obtain the proper formula and show, through simulation, the adaptation of its result with previous methods.