We introduce a classical model to describe magnetization transfer (MT). Like a quantum-mechanical description of spin dynamics and like the original Bloch equations, but unlike existing MT models, the proposed model is based on the algebra of angular momentum in the sense that it explicitly models the rotations induced by radio-frequency (RF) pulses. It unifies the original Bloch model, Henkelman's steady-state theory for magnetization transfer, and the commonly assumed rotation induced by hard, i.e. short, pulses, and describes experimental data better than previous models.
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