Articles | Volume 2, issue 1
https://doi.org/10.5194/mr-2-175-2021
https://doi.org/10.5194/mr-2-175-2021
Research article
 | 
16 Apr 2021
Research article |  | 16 Apr 2021

Approximate representations of shaped pulses using the homotopy analysis method

Timothy Crawley and Arthur G. Palmer III

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Latest update: 21 Feb 2024
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Short summary
Shaped radiofrequency pulses are widely used in nuclear magnetic resonance (NMR) spectroscopy for selective excitation or inversion of magnetization. Efficient, accurate methods for calculating the performance of pulses enable the understanding of existing pulses and help to optimize new pulses. A new approach for approximating the effects of shaped pulses is introduced and applied to some popular shaped pulses as examples. This approach will also be useful in other areas of NMR spectroscopy.