NEW APPROACHES TO THE LINEAR PROPAGATION OF ACOUSTIC FIELDS
NEW APPROACHES TO THE LINEAR PROPAGATION OF ACOUSTIC FIELDS
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DOI：
10.1121/1.401277
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发表时间：
1991-07-01
影响因子：
2.4
通讯作者：
PARKER, KJ
中科院分区：
文献类型：
--
作者：
CHRISTOPHER, PT;PARKER, KJ
描述了新的算法，提供了对线性场传播的洞察，并显著降低了计算复杂性。这里介绍的发展包括使用最近开发的离散Hankel变换来实现两个单步平面传播算法，用于有障碍场、径向对称的声压场或速度场；对单步方法的更新，其通过几何确定的空间频率限制来降低计算复杂性；以及扩展到多步传播的算法。给出了在上述格式中引入任意介质衰减的两种等价方法。最后，在其中一种多步传播算法中增加了一种考虑折射和反射(而不是多次反射)的平面边界穿越算法。然后，所得到的算法被用来检查聚焦的活塞源在水中工作和在分层脂肪/肝脏(生物医学成像)介质中工作的相应场之间的差异。这些结果给出了计算效率高的算法，可用于聚焦或非聚焦光束在衰减的多层介质中的线性传输，并为新的非线性传输算法提供了基础。
New algorithms are described that provide insight into linear field propagation and offer significant reductions in computational complexity. The developments presented here include the usage of a recently developed discrete Hankel transform to implement two single step, planar propagation algorithms for baffled, radially symmetric, acoustic pressure or velocity fields; an update on the single step approaches that reduce computational complexity through geometrically determined spatial frequency limitations; and algorithms for extending to multistep propagation. Two equivalent means of introducing arbitrary medium attenuation into the above schemes are presented. Finally, a planar boundary crossing algorithm that accounts for refraction and reflection (but not multiple reflections) is added to one of the multistep propagating algorithms. The resulting algorithm is then used to examine the differences between the corresponding fields of a focused piston source operating in water and in a layered fat/liver (biomedical imaging) medium. The results yield computationally efficient algorithms that can be used for linear propagation of focused or unfocused beams in attenuating, multilayer media, and also provide the basis for a novel nonlinear propagation algorithm.