Abstract:The reported results for ultrasonic wave attenuation constant (α) in pure water show noticeable inconsistency in magnitude. A "Propagating-Wave" model analysis of the most popular pulse-echo technique indicates that this is a consequence of the inherent wave propagation characteristics in a bounded medium. In the present work Fourier Transform Ultrasound Spectroscopy (FTUS) is adopted to determine ultrasonic wave propagation parameters, the wave number (k) and attenuation constant (α) at 1MHz frequency in tri-distilled water at room temperature (25 o C). Pulse-echo signals obtained under same experimental conditions regarding the exciting input signal and reflecting boundary wall of the water container for various lengths of water columns are captured. The Fast Fourier Transform (FFT) components of the echo signals are taken to compute k, α and r, the reflection constant at the boundary, using Oak Ridge and Oxford method. The results are compared with existing literature values.Keywords: Fourier Transform Ultrasound Spectroscopy (FTUS), Attenuation measurement, Propagating wave model 1. Introduction: Pulse-echo method is the standard method widely used for measuring the velocity (v) and attenuation constant (α) of ultrasonic waves for characterizing solid and liquid samples including biological systems. In a recent work [1], it has been reported that, this method is not reliable for accurate measurement of intrinsic attenuation constant α. In fact, a common experience of experimentalists working with attenuation measurement in solid and liquid samples is that, it is very difficult to obtain reproducible results for α. An elaborative illustration in this point is the work by Martinez et.al.[2] on pure water where both pulse-echo and through-transmission methods are used to measure α. It is observed that at relatively small distances from the transducer, α varies widely, while at large distances it is possible to obtain an average value of α. Moreover, the values of α obtained from pulse-echo and through transmission methods differ significantly and do not agree with other values reported in the literature [3][4][5][6]. The propagating-wave analysis of pulse-echo method [1] gives a satisfactory explanation for the variation. It shows that the echo amplitudes depend on α, the reflection coefficient r at the boundaries and the sample length l in a complicated way. As a consequence, the attenuation measured from the echo heights is an effective attenuation α e , different from the intrinsic attenuation α of the propagating medium. The dependence of α e on r was reported [7] in solid samples where the effect is more prominent due to the presence of the couplant used for bonding the transducer to the sample. We show that the intrinsic attenuation α along with r can be computed from the frequency spectrum of the pulse-echo signal using Oak Ridge and Oxford parameter fitting method [8]. This method has been used to determine α in tri-distilled water at room temperature (25 o C) at the transducer frequency 1 MHz....