Abstract

While MRI at very low magnetic fields has certain potential advantages, it may also face problems that are not typical for MRI at conventional and high field (0.1–10 T). Major differences arise due to the presence of concomitant components of inhomogeneous magnetic field (gradients) that are transverse to the major B z field, B 0. These concomitant transverse field components are inevitably generated by the same gradient coils that generate desired B z imaging gradients as routinely used in MRI for spatial encoding. In the hypothetical case (linear spatial variation of B z field amplitude due to the imaging gradients, no concomitant transverse field components, no B 0 and B 1 field inhomogeneities, etc.), Fourier transform MRI preserves the shape of the real object being examined. It is demonstrated herein that unavoidable concomitant transverse field gradients, G, result in an image deformation of the object’s actual shape by bending straight lines and planes with a characteristic curvature radius R c = B 0/ G. For imaging gradients on the order of 10 mT/m and B 0 of 1 T, the radius R c is about 100 m and image distortions are generally negligible. However, for B 0 of 1 mT, R c is 10 cm, which is less than a typical FOV in human studies. This manuscript derives expressions describing geometrical relationships between the imaged object and the obtained MR data. In addition to geometrical distortions, image intensity will be modulated in a complex, spatially dependent manner. Hence, if unaccounted for, corresponding image distortions—geometry and intensity—will create substantial difficulties in very low field image interpretation.

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