## Abstract The recently described Fourier Transform Coulomb (FTC) algorithm for fast and accurate calculation of Density Functional Theory (DFT) gradients (FΓΌstiβMolnar, J Chem Phys 2003, 119, 11080) has been parallelized. We present several calculations showing the speed and accuracy of our new p
Gradient characterization using a Fourier-transform technique
β Scribed by Marcus T. Alley; Gary H. Glover; Norbert J. Pelc
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 728 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0740-3194
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β¦ Synopsis
This paper describes a technique for characterizing the gradient subsystem of a magnetic resonance (MR) system. The technique uses a Fourier-transform analysis to directly measure the k-space trajectory produced by an arbitrary gradient waveform. In addition, the method can be easily extended to multiple dimensions and can be adapted to measuring residual gradient effects such as eddy currents. Several examples of gradient waveform and eddy-current measurements are presented. Also, it is demonstrated how the eddy-current measurements can be parameterized with an impulse-response formalism for later use in system tuning. When compared to a peak-fitting analysis, this technique provides a more direct extraction of the k-space measurements, which reduces the possibility of analysis error. This approach also has several advantages as compared to the conventional eddy-current measurement technique, including the ability to measure very short time constant effects.
π SIMILAR VOLUMES
## Abstract A rigorous and simple method for analyzing a rectangularβgroove guide using a Fourierβtransform technique, which takes the field singularities at the edge of the guide into consideration, is presented. The convergence of the solutions is very fast and the accuracy improves significantly