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A Near-Resonance Solution to the Bloch Equations and Its Application to RF Pulse Design

✍ Scribed by Zhihua Xu; Andrew K. Chan

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 95 KB
Volume: 138
Category: Article
ISSN: 1090-7807
DOI: 10.1006/jmre.1999.1732

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✦ Synopsis

A near-resonance expansion of the solution to the Bloch equations in the presence of a radiofrequency (RF) pulse is presented in this paper. The first-order approximation explicitly demonstrates the nonlinear nature of the Bloch equations and precisely relates the excitation profile with the RF pulse when the flip angle is less than /2. As an application of this solution, we present a procedure for designing RF pulses to generate symmetric excitation profiles with arbitrary shapes for new encoding approaches such as wavelet encoding.

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