Abstract

General analytical expressions are presented for the b matrix used in diffusion NMR imaging and spectroscopy. These expressions are evaluated in the case of a two-dimensional Fourier-transform spin-echo imaging sequence and show the effect of "cross terms" between gradient pulses. The diagonal and off-diagonal components of the b matrix are calculated for the anisotropic diffusion tenser. The proposed analysis allows diffusion coefficients and tensors to be determined accurately and with greater efficiency.

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