Exact solution of the Torrey-Bloch equation for a spin echo in restricted geometries
Exact solution of the Torrey-Bloch equation for a spin echo in restricted geometries
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DOI：
10.1103/physrevb.58.14171
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发表时间：
1998-12-01
影响因子：
3.7
通讯作者：
Barzykin, AV
中科院分区：
文献类型：
--
作者：
Barzykin, AV
利用扩散算符的绿色函数，给出了稳态梯度场作用下自旋在有界区域内扩散的磁化强度的精确解析解，并由此给出了任意阶跃梯度脉冲序列的解析解.一个简单的双模近似的精确公式推导出，并显示出一贯优于任何现有的近似提供可靠的拟合函数的梯度NMR应用程序。[S0163-1829（98）05246-1]。
An exact analytical solution is presented for the magnetization density of spins diffusing in a bounded region under a steady gradient field and, as a result, for any step-wise gradient pulse sequence, in terms of the Green's function of the diffusion operator. A simple two-mode approximation to the exact formula is derived and shown to be consistently preferable to any of the existing approximations providing reliable fitting functions for most of the gradient NMR applications. [S0163-1829(98)05246-1].