The Special Affine Fourier Transformation or the SAFT generalizes a number of well known unitary transformations as well as signal processing and optics related mathematical operations. Shift-invariant spaces also play an important role in sampling theory, multiresolution analysis, and many other areas of signal and image processing. Shannon’s sampling theorem, which is at the heart of modern d...

The molecular-based SAFT equation of state has proven to be very versatile in the prediction of fluid phase equilibria. However, in common with all analytic equations of state, SAFT exhibits classical behavior in the critical region rather than the nonanalytical, singular behavior seen in real fluids. As a result, accurate agreement over the whole phase diagram cannot be obtained and must be lo...

The superior properties of specific ionic liquids (ILs), such as negligible volatility, high thermal stability, flexible designability, and their affinity to capture CO2, make them an attractive alternative chemical physical solvents that are currently used in CO2 processes. However, a limitation use ILs for industrial is viscosity compared conventional solvents, which leads lower rate higher p...

In this article the behavior of tetrahydrofuran (THF) + 2-alkanol namely 2-propanol, 2-butanol, 2-pentanol, 2-hexanol and 2-heptanol binary mixtures through the density and viscosity measurements have been studied as a function of composition and within the temperature range of 293.15–313.15 K. The excess molar volume, isobaric thermal expansivity, partial molar volumes, and viscosity deviation...

INTRODUCTION New fast and efficient multi-channel ultrasonic echo measurement systems are currently introduced for practical applications in NDT-CE [ 1, 2]. The acquired multi-offset data are currently processed and imaged by the synthetic aperture focussing technique (SAFT, see e.g. [ 3, 4]). The application of SAFT, which is closely related to the seismic Kirchhoff migration method, is succes...

3D ultrasonic inspection equipment “Matrixeye” can visualize defects as 3D image with good resolution by the 3D SAFT (Synthetic Aperture Focusing Technique) imaging method. High-speed 3D SAFT imaging process can be achieved by the developed parallel signal process of the ultrasonic echo data collected by a linear or a matrix-array ultrasonic probe. It has the following features. •3D image with ...

Acoustic-resolution photoacoustic microscopy (ARPAM) plays an important role in studying the microcirculation system of biological tissues with deep penetration. High lateral resolution of ARPAM is achieved by using a high numerical aperture acoustic transducer. The deteriorated lateral resolution in the out-of-focus region can be alleviated by synthetic aperture focusing technique (SAFT). Prev...