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相关概念视频

Deriving the Speed of Sound in a Liquid01:09

Deriving the Speed of Sound in a Liquid

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As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
The speed of sound in fluids can be derived by considering a mechanical wave...
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Speed of Sound in Solids and Liquids00:51

Speed of Sound in Solids and Liquids

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Most solids and liquids are incompressible—their densities remain constant throughout. In the presence of an external force, the molecules tend to restore to their original positions, which is only possible because the constituents interact. The interactions help the constituents pass on information about external disturbances, like sound waves. Therefore, sound waves travel faster through these media. Compared to solids, the constituents in a liquid are less tightly bound. Thus, sound...
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Shock Waves01:16

Shock Waves

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While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high...
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Echo01:06

Echo

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The human ear cannot distinguish between two sources of sound if they happen to reach within a specific time interval, typically 0.1 seconds apart. More than this, and they are perceived as separate sources.
Imagine the sound is reflected back to the ears. Assuming that the source is very close to the human, the difference between hearing the two sounds—the emitted sound and the reflected sound—may be more than the minimum time for perceiving distinct sounds. If this is the case,...
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相关实验视频

Updated: Jun 14, 2025

Author Spotlight: A Stable Phantom Material for Optical and Acoustic Imaging
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Author Spotlight: A Stable Phantom Material for Optical and Acoustic Imaging

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在未知音速的音源成像中,使用平面设置方法逐步采用声源成像.

Guanghui Huang1, Jianliang Qian2, Yang Yang3

  • 1Petroleum Geo-Services, Houston, TX 77079.

Communications on applied mathematics and computation
|September 2, 2024
PubMed
概括

这项研究从波方程数据重建了声源,而不需要知道声音的速度. 算法独特地确定源形状或振幅,在2D和3D数值实验中得到验证.

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Switchable Acoustic and Optical Resolution Photoacoustic Microscopy for In Vivo Small-animal Blood Vasculature Imaging
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Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
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相关实验视频

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科学领域:

  • 声学 声学 在声学方面
  • 反向问题 逆向问题
  • 计算数学 计算数学 计算数学

背景情况:

  • 反向问题涉及从测量中确定未知的参数.
  • 声源重建在各种领域至关重要,包括地质物理学和医学成像.
  • 现有的方法通常需要了解波速或多次测量.

研究的目的:

  • 从有限的数据中开发用于从有限的数据中逐个重建恒定的被动声源的方法.
  • 为了应对在声学逆转中未知的声音速度的挑战.
  • 在不同的先前假设下,以独特的方式确定源形状和振幅.

主要方法:

  • 使用声波方程来进行源逆转.
  • 在已知的振幅时开发一个水平设定算法用于形状重建.
  • 在已知的奇点时,采用最小方位拟合算法进行幅度恢复.
  • 将低频源逆转与重力测量逆转问题相结合.

主要成果:

  • 在已知振幅的情况下,证明了源形状的独特确定性.
  • 在已知的奇点时,证明了源幅的独特确定.
  • 通过二维和三维的数值实验验证拟议的算法.
  • 量化评估了重建算法的性能和准确性.

结论:

  • 该研究成功地重建了无需事先了解声音速度的声源.
  • 开发的算法为形状和幅度的确定提供了强大的解决方案.
  • 这些发现对推进声源逆转技术和相关领域有影响.