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物理学报. 2006, 55(2): 884-890.
doi: 10.7498/aps.55.884.
Bloch方程的精细时程积分及其在射频脉冲设计中的应用
- 收稿日期: 2005-05-17
- 修回日期: 2005-06-27
- 刊出日期: 2006-01-05
English Abstract
Precise time integral of the Bloch equations and its application to the design of radio frequency pulses
- Received Date:
17 May 2005
- Accepted Date:
27 June 2005
- Published Online:
05 January 2006
Abstract: Solving the Bloch equations is a core procedure in the optimal design of radio frequency pulses, which has direct impacts on the quality of acquired images in magnetic resonance imaging. Although the analytical solutions of the Bloch equations exist under some circumstances, they hardly can be applied for practical use because of their complexity and lack of generality. In this paper, we employ precise time integration to solve the Bloch equations. Based on a high precision algorithm and in conjunction with a global optimization algorithm, we provide a complate procedure for the design of radio frequency pulses. The numerical data listed at the end of this paper demonstrate that the pulses derived from our algorithm have good frequency selectivity.
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