Bloch equations revisited: new analytical solutions for the generalized bloch equations

Madhu, P. K. ; Anil Kumar, (1997) Bloch equations revisited: new analytical solutions for the generalized bloch equations Concepts in Magnetic Resonance Part A: An Educational Journal, 9 (1). pp. 1-12. ISSN 1546-6086

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Official URL: http://www3.interscience.wiley.com/journal/55385/a...

Related URL: http://dx.doi.org/10.1002/(SICI)1099-0534(1997)9:1<1::AID-CMR1>3.0.CO;2-2

Abstract

The generalized Bloch equations in the rotating frame are solved in Cartesian space by an approach that is different from the earlier Torrey solutions. The solutions are cast into a compact and convenient matrix notation, which paves the way for a direct physical insight and comprehension of the evolution of various magnetization components. The solutions are expressed as a sum of two terms: One describes the decay of the initial state; the other describes the growth of the steady state. The representative trajectories of each component of the above terms plotted separately describe the complete time evolution of each magnetization component.

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