Compensating the Effect of the Displacement of Array Transducers on Tomography Data

A technique for correcting the fields detected by an array with nonideal placement of transmitting and receiving transducers has been developed and numerically tested. The displacements of the transducers from their ideal positions are preliminarily determined. The correction technique involves finding the angular harmonics based on the fields measured with the displaced transducers. Then these found angular harmonics make it possible to recalculate the fields at ideal positions of the transducers, as well as directly calculate the scattering amplitude. Such corrected data is the input one for the stage of reconstruction of acoustic tomograms, i.e., the internal structure of an object. Numerical simulation has been used to show that in the absence of the correction of the data measured in real conditions, the tomograms can be fractured.