Selective focusing with numerical technique of time reversal operator decomposition

Recently, 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 DORT (Decomposition de lpsilaOperateur 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. Time reversal operator (TRO) is deduced from these responses and diagonalized. The eigenvector and eigenvalue of TRO is analyzed to perform selective focusing on different scatterers. We develop the numerical technique of DORT method by using the Greenpsilas function estimation in homogeneous and multiple scattering medium. This technique can set up the feasibility study of DORT method to perform selective focusing on multiple scatterers.