Saturation Pulse Design with Explicit Sensitivity Maximization for Bloch-Siegert B1+ Mapping

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achieves acknowledgments additionally advantage amount amplitude amplitudes analytic applications approximate approximations arrows avoid beginning behavior biomedical block blue challenging clearly column condition considered constant constrained constraint constraints convergence convex defined dependence derivative design designing desirable directly distinguishes doors duration enforces engineering evaluated excitation excites exciting explicit explicitly expressed finally fold function functional gain global gore grant grid guarantees hence highly hyperplane ideal improve indirect initialized institute investigation issues john limitations limits linear little long longer loss magnetization make mapping maps maximization maximize maximizes maximizing modulation monotonicity moreover much negligible negligibly novel objective offset onto opens optimization optimized peak positive positivity previous problem propose proposed pulse pulses quad radiological radiology regarding requiring resonant respect respectively robustness saturation science sciences seek selected sensitivity setup shape shorten smooth solved spins steps subject supported term terms together train trans treated unconstrained waveform waveforms wrapping