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Ahstract-In this paper, a numerical method of retrieving the complex dielectric permittivity from the S12 element of the waveguide scattering matrix. Analysis showed that the numerical method proposed provides for the permittivity which has the error less than 10% in the frequency range from 0.345 to 15GHz. This error is substantially less than the one attained in the existing method currently used.Index Terms -dielectric spectroscopy, complex refractive index (CRl), moist soil.