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Precise time integral of the Bloch equations and its application to the design of radio frequency pulses

Liu Wan-Qiu Zhong Wan-Xie Chen Jie-Fu

Precise time integral of the Bloch equations and its application to the design of radio frequency pulses

Liu Wan-Qiu, Zhong Wan-Xie, Chen Jie-Fu
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  • Abstract views:  3866
  • PDF Downloads:  1159
  • Cited By: 0
Publishing process
  • Received Date:  17 May 2005
  • Accepted Date:  27 June 2005
  • Published Online:  15 February 2006

Precise time integral of the Bloch equations and its application to the design of radio frequency pulses

  • 1. (1)工业装备结构分析国家重点实验室,大连理工大学,大连 116023; (2)工业装备结构分析国家重点实验室,大连理工大学,大连 116023;中国科学院研究生院,北京 100039

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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