核磁共振扩散实验中定义边界的确定
Determination of the Defining Boundary in Nuclear Magnetic Resonance Diffusion Experiments
摘要：
虽然核磁共振扩散实验被广泛用于解析限制扩散过程的结构，但它们是否能准确地揭示这些结构一直是难以捉摸的。这个问题与X射线散射和卡茨的“听到鼓声”问题密切相关。虽然鼓的形状是不是“听”，我们表明，封闭的孔隙的限制边界确实可以使用修改后的Stejskal-Tanner磁场梯度，保留相位信息，使成像的平均孔隙在多孔介质中大大增加了信噪比检测。
英文摘要：
While nuclear magnetic resonance diffusion experiments are widely used to resolve structures confining the diffusion process, it has been elusive whether they can exactly reveal these structures. This question is closely related to X-ray scattering and to Kac's "hear the drum" problem. Although the shape of the drum is not "hearable", we show that the confining boundary of closed pores can indeed be detected using modified Stejskal-Tanner magnetic field gradients that preserve the phase information and enable imaging of the average pore in a porous medium with a largely increased signal-to-noise ratio.
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