Mathematical calculation of the role of attendant gradients in MRI

Abstract

Magnetic Resonance Imaging (MRI) is a popular and effective diagnostic method in the modern medicine. In MRI different kinds of magnetic fields are utilized, although mostly the sick fields are considered. In spite of some advantages, that possess the sick magnetic fields in MRI, there may arise some problems being untypical for the ordinary and strong magnetic fields in MRI. Especially, some differences appear in inhomogeneous magnetic fields due to the presence of attendant gradients being transverse relative to the main field. In this paper the mathematical formulation of the relation between the performed object and the data received by MRI methods is considered. It is noted as well that the relaxation processes of a tissue may affect on the described phenomena if the period of the gradient growth equals or exceeds the tissue relaxation times.