Detection and localization of the scatterers via DORT method

A decade ago, a time reversal operator method that is applied to ultrasonic detection and focusing with arrays of transducers has been proposed. This method is known as the D.O.R.T (Decomposition de l´Operateur de Retournement Temporel). The DORT method requires the measurement of the inter-element impulse responses of the propagating medium for all pairs of elements in the array. A Hermitian matrix called the time reversal operator (TRO) is deduced from these responses and diagonalized. We analyze the TRO on eigenvector to detect and localize different scatterers. We propose the detection and localization method in numerical technique by measuring multistatic data matrix and using DORT theory. This method is applied to localize position of scatterers in multiple scattering and homogeneous medium.