Confusion regarding Standing Waves and Reflection resulting in Phase Change

In summary: It's that at each point in between nodes the incident and reflected/incoming wave interact differently to different degrees of constructive and destructive, such that at the antinode its total constructive and at the node its total descrtuctive and in between its a gradient.
  • #1
Hereformore
61
0
So a standing wave is one which looks to be standing still at certain harmonic frequencies. At these frequencies, when the wave reflects off the end, it will undergo a phase change of 180 degrees. This creates constructive interference as shown below:

upload_2014-10-26_17-21-53.png


In the case of a wave on a string, since that would constitute a transverse wave, when the wave hits a barrier, much like with thin film interference, the reflected wave is shifted by 180 degrees.

in the case of a longitudinal wave, such as with an open-closed or open open air pressure system, the phase change occurs at the open end(s) but not at the closed ends.

What I don't understand is, if the reflected wave is constructive, and in phase with the incident wave, then why are standing wave diagrams always drawn with the reflected wave out of phase/having destructive interference? Am i misinterpreting the diagrams?

See below for standing waves:
upload_2014-10-26_17-25-25.png

See below for Longitudinal waves:
upload_2014-10-26_17-19-42.png
(Open Open = phase change at both ends)
upload_2014-10-26_17-26-3.png
Open Closed = Phase change only at open end.

Also otherwise, is my understanding of what's going on (with the reflections and phase changes) accurate? Thanks guys!
 
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  • #2
Hereformore said:
So a standing wave is one which looks to be standing still at certain harmonic frequencies. At these frequencies, when the wave reflects off the end, it will undergo a phase change of 180 degrees. This creates constructive interference as shown below:

View attachment 74816

180 degrees phase change results in destructive interference, that is, why there is a node at the barrier.
 
  • #3
ehild said:
180 degrees phase change results in destructive interference, that is, why there is a node at the barrier.
but then how does the standing wave occur if the reflection always causes destructive interference?

OH Is it that at each point in between nodes the incident and reflected/incoming wave interact differently to different degrees of constructive and destructive, such that at the antinode its total constructive and at the node its total descrtuctive and in between its a gradient?
 

1. What are standing waves and how are they formed?

Standing waves are a type of wave that occur when two waves of the same frequency and amplitude travel in opposite directions and interfere with each other. They are formed when a wave is reflected back on itself, creating nodes and antinodes where the amplitude of the wave is constant and zero, respectively.

2. How does reflection result in phase change in standing waves?

Reflection of a wave causes the wave to invert its phase, meaning that the points of maximum amplitude become points of minimum amplitude and vice versa. In standing waves, this phase change occurs at the nodes, where the reflected wave interferes with the original wave to create a new wave with a different phase.

3. What is the relationship between standing waves and resonance?

Standing waves are a result of resonance, which occurs when an object is forced to vibrate at its natural frequency. In standing waves, the reflected wave reinforces the original wave, causing the amplitude to increase and creating a standing pattern. This phenomenon is known as resonance.

4. Can standing waves exist in all mediums?

Standing waves can exist in any medium that allows for the reflection of waves. This includes solid, liquid, and gaseous mediums, as well as electromagnetic waves. However, the specific conditions for standing waves to occur may vary depending on the properties of the medium.

5. What are some practical applications of standing waves?

Standing waves have several practical applications, such as in musical instruments, where they produce distinct and desirable tones. They are also used in acoustic resonance testing, where standing waves are used to detect structural flaws in materials. Standing waves are also utilized in telecommunications, such as in cell phone signals and microwave technology.

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