Problem BONUS (10 points). Imagine we deliver a sinc pulse instead of a box pulse to on resonance with our $\mu_a$ nuclei in a $B_0 = 0.5T$ magnetic field. What is the minimum duration of the center lobe of this sinc pulse which ensures the $\mu_b$ nuclei experience no excitation?
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The sinc pulse is given by the equation sinc(t) = sin(πt)/(πt). It has a main lobe centered at t = 0 and side lobes that extend infinitely in both directions. Show more…
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