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• W1975499624 endingPage "74" @default.
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• W1975499624 abstract "Recently, RF pulse design using first-order and quasi-second-order pulses has been actively investigated. We present a full second-order design method capable of incorporating relaxation, inhomogeneity in B0 and B1. Our model is formulated as a generic optimization problem making it easy to incorporate diverse pulse sequence features. To tame the computational cost, we present a method of calculating second derivatives in at most a constant multiple of the first derivative calculation time, this is further accelerated by using symbolic solutions of the Bloch equations. We illustrate the relative merits and performance of quasi-Newton and full second-order optimization with a series of examples, showing that even a pulse already optimized using other methods can be visibly improved. To be useful in CPMG experiments, a universal refocusing pulse should be independent of the delay time and insensitive of the relaxation time and RF inhomogeneity. We design such a pulse and show that, using it, we can obtain reliable R2 measurements for offsets within ±γB1. Finally, we compare our optimal refocusing pulse with other published refocusing pulses by doing CPMG experiments." @default.
• W1975499624 created "2016-06-24" @default.
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• W1975499624 date "2012-06-01" @default.
• W1975499624 modified "2023-09-26" @default.
• W1975499624 title "Designing optimal universal pulses using second-order, large-scale, non-linear optimization" @default.
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• W1975499624 doi "https://doi.org/10.1016/j.jmr.2012.04.004" @default.
• W1975499624 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22617160" @default.
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