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The de Broglie Wavelength02:32

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
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The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion. 
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统计波场理论 统计波场理论

Roland Badeau1

  • 1LTCI, Télécom Paris, Institut Polytechnique de Paris, Palaiseau 91120, France.

The Journal of the Acoustical Society of America
|July 19, 2024
PubMed
概括
此摘要是机器生成的。

我们介绍了统计波场理论,这是理解封闭空间中波浪行为的新框架. 这个理论为波动力和相关性提供了精确的预测,适用于声学和电磁学.

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科学领域:

  • 物理 物理学 物理
  • 声学 声学 在声学方面
  • 电磁学 电磁学 电磁学 电磁学

背景情况:

  • 对于各种科学领域来说,了解有限体积中的波传播至关重要.
  • 现有的理论往往缺乏对封闭空间内的波场的全面统计描述.

研究的目的:

  • 介绍统计波场理论的基本原理.
  • 为封闭体积中的波传播提供统一的统计框架.

主要方法:

  • 根据Sturm-Liouville理论和动态亿博的推导.
  • 分析波方程的边界值问题.
  • 高频近似和边界反射的考虑.

主要成果:

  • 建立统计规律,控制波场在有限体积的统计规律.
  • 第一个关闭形式的表达式,用于联合功率分布和波场相关性 (时间,频率,空间).
  • 配方取决于边界几何和入口.

结论:

  • 统计波场理论为反响提供了一种新的,数学上严格的方法.
  • 该理论在室内声学,电磁理论和核物理中具有潜在的应用.