Exact solution of the Torrey-Bloch equation for a spin echo in restricted geometries

被引：41
|
作者：
Barzykin, AV [1 ]
机构：
[1] Natl Inst Mat & Chem Res, Ibaraki 3058565, Japan
来源：
PHYSICAL REVIEW B | 1998年 / 58卷 / 21期
关键词：
D O I：
10.1103/PhysRevB.58.14171
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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].
引用
收藏
页码：14171 / 14174
页数：4
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