Inversion of the Bloch equation
Meir Shinnar, JOHN S. JUN. LEIGH
Abstract
Meir Shinnar, JOHN S. JUN. LEIGH
Abstract
A method for the inversion of the Bloch equation without relaxation is described. It converts the continuous Bloch equation to a discrete analog, which is solved explicitly. The theory enables us to determine the space of physically realizable excitation profiles. Given an arbitrary desired result, it is approximated by a physically realizable profile. A pulse is then generated that will yield that profile.
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A method for the inversion of the Bloch equation without relaxation is described. It converts the continuous Bloch equation to a discrete analog, which is solved explicitly. The theory enables us to determine the space of physically realizable excitation profiles. Given an arbitrary desired result, it is approximated by a physically realizable profile. A pulse is then generated that will yield that profile.
Key concepts: Bloch equations, Inversion (geology), Mathematical analysis, Mathematics, Relaxation (psychology), Bloch wave, Pulse (music), Space (punctuation)