Asymptotic Methods in Medical Ultrasound

9410218本放射免疫分析研究项目中提出的Barbone是由有限宽度的声束垂直传播到包含随机分布的点散射的层合耗散半空间的模型的研究。这一问题结合了实质组织成像中遇到的许多基本困难：多个尺度上的不均匀、非恒定衰减、随机散射和来自界面的后向散射。渐近分析的目标对应于研究计划中的两个阶段：(1)建立与三维成像问题一致的绕射校正的一维逆问题；(2)考察随机散射的不同平均技术，并确定它们在纹理分析中的适用性。***

9410218 Barbone Proposed in this RIA research project is the study of a model which consists of an acoustic beam of finite width propagating normally into a laminated dissipative half-space containing randomly distributed point scatters. This problem combines many of the essential difficulties encountered in imaging parenchymal tissue: inhomogeneity on many scales, non-constant attenuation, random scattering, and backscatter from interfaces. The goals of the asymptotic analysis correspond to the two stages in the research plan: (1) to formulate a diffraction -corrected one-dimensional inverse problem consistent with the three- dimensional imaging problem, and (2) to examine different averaging techniques for the random scattering and determine their applicability to texture analysis. ***