Fig. 5: Parallel pulse compensation.
From: A digital twin for parallel liquid-state nuclear magnetic resonance spectroscopy
a Schematic of pulse compensation. A cooperative pulse is obtained by combining the optimal control pulse with a compensation term. b Waveform at the tuning and matching network input for a cooperative pulse p, optimal control pulse p0, and a compensation term δ. The dark-colored lines (left axis) represent the amplitude. The constant-amplitude optimal control pulse has the nominal radio frequency amplitude of 2kHz, and the light-colored lines (right axis) represent the corresponding phase. c Transfer fidelity when applying the cooperative pulse (p) with coupling, and the optimal control pulse (p0) without and with coupling. The coil geometry, spin system, and transfer task are the same as those in Fig.4, and the coupling strength c.s. = 0.24. The two channels are indicated as chn. 1 and chn. 2. in (b) and (c). The ν0 and ν1 represent the resonance offset and radio frequency amplitude, respectively.
