1. A method for analyzing inverse scattering spectral components comprising the steps of: determining a reflection spectrum of an object of interest; determining a transmission spectrum of the object; calculating {tilde over (V)} 1 [n], where {tilde over (V)} 1 [n] is absolutely and uniformly convergence and is amenable to efficient iterative computational determination, with leading terms allowing for fast tentative identification of the object from which the spectrum is obtained.