Engineering Physics Annotation << Back THE DEVELOPMENT OF VOLUME TOMOGRAPHY TO DETERMINE THE VECTOR OF PHYSICAL QUANTITIES A.A. ZHILNIKOV, T.A. ZHILNIKOV, V.I. ZHULEV In the classical representation the direct and inverse Radon transforms, as well as their properties are given only for scalar physical quantities, is noted. The need for a departure from the particular description of the mathematical apparatus of the Radon transform and the use of its general form is conditioned. The scope of the Radon transform, which within the framework of the formulated problems made possible the work with the vector representation of the original function, was further developed. Investigation of the Radon transform of the original vector function, the geometric meaning of which in threedimensional space is determined by the integral of the original vector function by the hyperplane perpendicular to the normal vector is proposed. The mathematical apparatus of the Radon vector transform, which allows obtaining an image of the distribution of a periodically varying time magnetic field by measuring the flux density in places inaccessible for mechanical penetration by a fullbodied primary transducer is proposed. Key words: volume tomography, Radon transform, filtering coagulation function, measurement of magnetic fields, magnetic flux density. DOI: 10.25791/infizik.09.2019.834 Contacts: - Pp. 10-15.