<title>Tomography methods of vector fields investigation</title>

Abstract

A problem of tomography reconstruction of vector physical fields by using the sets of a contour integrals from a vector projection and from projection of a vector derivative with respect to direction is investigated. A necessity of using nonrectilinear measuring lines for tomography reconstruction of vector field parameters distribution is shown. If the measuring line output signal is proportional to integral from projection of a researched vector it is possible to use the measuring line in form of a narrow loop and the decision of a problem can be received by using of integral theorems. If the measuring line output signal is proportional to integral from projection of a vector derivative with respect to direction (e.g. problem of deformed two-dimensional object), it is possible to use the measuring line of step form and potential component of a vector field can be reconstructed.The method can be widely applied to research a distributions of an electromagnetic, deforming and other vector fields inside elements of technical and technological objects constructions and also can to become a basis of systems of vector physical fields monitoring.