1993•The Journal of Chemical PhysicsRequires access

Inversion of the Bloch equation

Meir Shinnar, JOHN S. JUN. LEIGH

Open publisher page 25 citations

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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What this paper is about

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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Available 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.

Key concepts: Bloch equations, Inversion (geology), Mathematical analysis, Mathematics, Relaxation (psychology), Bloch wave, Pulse (music), Space (punctuation)

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