Exploring the Coherence Length and Repeat Length in Wave Packets

In summary, a wave packet can be thought of as a periodic function with an infinite repeat length. This means that the peaks within the wave packet may have different heights, but the overall pattern does not repeat itself anywhere. The coherence length also plays a role in determining the mean wavelength within the spread.
  • #1
zarrin77
2
0
It says on my homework that:
"A wave packet is like a periodic function with a repeat length of _______."

I am confused by "repeat length" because I understand a wave packet to NOT repeat anywhere. It has a spread x but the peaks are all different heights, so I do not really understand what they are asking?

Your suggestions are very appreciated =)
 
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  • #2
If you really believe what you say and have no fear, put this:

"A wave packet is like a periodic function with a repeat length of infinity."

That sentence is very audacious!

The safe answer would probably go something like, "assuming the coherence length to be sufficiently long, the repeat length is the mean wavelength in the spread" (at least I think that's right - someone do correct me if I'm wrong!).
 

FAQ: Exploring the Coherence Length and Repeat Length in Wave Packets

What is a wave packet?

A wave packet is a localized disturbance or oscillation in a medium that contains a group of waves with different frequencies and wavelengths. It can be thought of as a "bundle" or "packet" of waves that travel together and have a similar shape.

How is the length of a wave packet determined?

The length of a wave packet is determined by the range of frequencies and wavelengths included in the packet. A longer packet will have a wider range of frequencies and wavelengths, while a shorter packet will have a narrower range. The length can also be affected by the speed of the waves and the medium through which they are traveling.

What is the relationship between wave packet length and energy?

The length of a wave packet is directly proportional to its energy. This means that a longer packet will have more energy than a shorter packet, as it contains a wider range of frequencies and wavelengths. The energy of a wave packet can also be affected by the amplitude of the waves within the packet.

How does the repeat length of a wave packet affect its behavior?

The repeat length of a wave packet refers to the distance between two consecutive crests or troughs of the wave. This length can affect the behavior of the wave packet, as it determines how frequently the wave will repeat itself. A shorter repeat length means the waves will repeat more often, while a longer repeat length means they will repeat less frequently.

Can the wave packet length and repeat length be changed?

Yes, the wave packet length and repeat length can be changed by altering the properties of the medium through which the waves are traveling. For example, the length can be changed by changing the speed of the waves or the medium's density. The repeat length can be changed by changing the frequency or amplitude of the waves.

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