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000187509 1001_ $$0P:(DE-HGF)0$$aStanek, Daniel$$b0$$eCorresponding Author
000187509 245__ $$aAnomalous behavior of control pulses in presence of noise with singular autocorrelation
000187509 260__ $$aAmsterdam [u.a.]$$bElsevier$$c2014
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000187509 520__ $$aWe report on the anomalous behavior of control pulses for spins under spin–spin relaxation and subject to classical noise with a singular autocorrelation function. This behavior is not detected for noise with analytic autocorrelation functions. The effect is manifest in the different scaling behavior of the deviation of a real pulse to the ideal, instantaneous one. While a standard pulse displays scaling View the MathML source∝τp1, a first-order refocusing pulse normally shows scaling View the MathML source∝τp2. But in presence of cusps in the noise autocorrelation the scaling View the MathML source∝τp3/2 occurs. Cusps in the autocorrelation are characteristic for fast fluctuations in the noise with a spectral density of Lorentzian shape. We prove that the anomalous exponent cannot be avoided; it represents a fundamental limit. On the one hand, this redefines the strategies one has to adopt to design refocusing pulses. On the other hand, the anomalous exponent, if found in experiment, provides important information on the noise properties.
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000187509 7001_ $$0P:(DE-HGF)0$$aFauseweh, Benedikt$$b1
000187509 7001_ $$0P:(DE-HGF)0$$aStihl, Christopher$$b2
000187509 7001_ $$0P:(DE-Juel1)145049$$aPasini, Stefano$$b3$$ufzj
000187509 7001_ $$0P:(DE-HGF)0$$aUhrig, Götz S.$$b4
000187509 773__ $$0PERI:(DE-600)1469665-4$$a10.1016/j.jmr.2014.06.009$$gVol. 245, p. 133 - 142$$p133 - 142$$tJournal of magnetic resonance$$v245$$x1090-7807$$y2014
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