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Travelling Waves01:04

Travelling Waves

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A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is...
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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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The de Broglie Wavelength02:32

The de Broglie Wavelength

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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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Standing Waves01:17

Standing Waves

5.3K
Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
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Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

465
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
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Wave Parameters01:10

Wave Parameters

9.0K
The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
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相关实验视频

Updated: Jan 15, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

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周期性移动波的波长选择:一个未解决的问题

Lukas Eigentler1,2, Mattia Sensi3,4

  • 1Warwick Mathematics Institute, University of Warwick, Coventry CV4 7AL, Coventry, United Kingdom. lukas.eigentler@warwick.ac.uk.

Bulletin of mathematical biology
|January 14, 2026
PubMed
概括

定期移动波 (PTW) 通过改变波长来适应生态系统模式. 本研究回顾了PTW波长变化的预测,并探索了选择机制,揭示了新的趋势和潜在的灭绝风险.

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相关实验视频

Last Updated: Jan 15, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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科学领域:

  • 生态生态学 生态生态学
  • 数学生物学 数学生物学
  • 理论生态学理论生态学

背景情况:

  • 周期性移动波 (PTW) 是理解生物学和生态学的时空模式的关键.
  • 生态系统通过改变模式波长来适应环境变化,这是PTW解决方案共享的特征.
  • 现有的研究重点是预测PTW波长变化的参数值,但缺乏波长选择理论.

研究的目的:

  • 审查使用线性稳定性分析和巴塞气球理论预测PTW波长变化的方法.
  • 调查目前解释PTW波长选择的理论局限性.
  • 介绍在过渡期间 PTW 波长选择的新数值发现,并探索潜在的灭绝动态.

主要方法:

  • 对线性稳定性分析和巴塞气球理论的审查,用于预测PTW波长变化.
  • 对于捕食者-猎物动态的 λ-ω 系统中 PTW 解决方案的分析.
  • 数字模拟观察PTW到PTW的转换和波长选择模式.

主要成果:

  • 巴斯气球理论有效地预测波长变化参数,但不是选择.
  • 新的数值趋势表明,在过渡期间,某些稳定的波长被优先选择.
  • PTW级联可以导致灭绝,即使与PTWs相比.

结论:

  • 对于PTW波长选择机制的理论理解存在重大差距.
  • 需要进一步的研究来开发波长选择的预测理论.
  • 探索新的方法对于更深入地了解PTW动态和生态系统适应至关重要.