Abstract
Input-output cross-correlations are derived for the Bloch equations driven by a sinusoid near the Larmor frequency with random telegraph binary amplitude modulation. The correlations decrease with time as a superposition of four exponential functions. Two time constants may be conjugate complex giving rise to damped oscillations for certain values of relaxation times, resonance offset, excitation amplitude, and modulation bandwidth. The dependence of the correlations on these parameters is similar to the behavior of the magnetization in Torrey nutations, except that the relaxation rates are enhanced by the modulation bandwidth. In the limit of zero or infinite bandwidth, the results agree with cw or white Gaussian noise excitation, respectively. Measurements using the proton magnetic resonance of a doped water sample show agreement for a case with intermediate bandwidth.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
