Improved reconstruction of nonlinear spatial encoding techniques with explicit intra-voxel dephasing

Spatial encoding magnetic fields (SEMs) that vary nonlinearly over the field-of-view offer potential advantages for image encoding. This work investigates intra-voxel dephasing in the imaging plane when nonlinear SEMs are used. Intra-voxel dephasing reduces the signal from a voxel for strong encoding moments depending on the location of the pixel and the nonlinear fields used. A new signal model explicitly accounting for intra-voxel dephasing is derived to accurately explain experimental data acquired with nonlinear SEMs. Images reconstructed using the new signal model exhibit substantially less noise and fewer artifacts compared to the traditional signal encoding model.

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