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Transverse relaxation time constraints on resolution in one-dimensional, phase- and frequency-encoded nuclear magnetic resonance imaging

1987; Elsevier BV; Volume: 71; Issue: 1 Linguagem: Inglês

10.1016/0022-2364(87)90123-5

1557-8968

D. B. van Hulsteyn, Laurel O. Sillerud,

Advanced NMR Techniques and Applications

The theoretical dependence of the resolution on the relationship of sampling time to transverse relaxation time (T2) for frequency-encoded, one-dimensional NMR imaging using constant field gradients has been investigated. A resolution function that is explicitly dependent on the sampling time is derived, and it is shown that the observed image of an object can be written as a convolution of the sample magnetization with this resolution function. This function is explicitly calculated for two cases of interest: (1) for sampling times much shorter than T2, and (2) for sampling times much longer than T2. These cases are illustrated for two examples: (1) a uniform magnetic bar, and (2) uniform periodic magnetic bars. When oscillating gradients are utilized, these results still hold in the limit of slow oscillation. The resolution in phase-encoded NMR imaging is not explicitly dependent on the sampling time.