What Is the Coherence Length of a Highly Stabilized He-Ne Laser?

In summary, a magnetic-field technique has been patented that can stabilize a He-Ne laser to 2 parts in 10^10. This means that if a frequency f is chosen, the laser will have an uncertainty of only ±(2*f*(10^-10)). At 632.8 nm, this would result in a coherence length of approximately 3.0 meters.
  • #1
kingyof2thejring
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Homework Statement


A magnetic-field technique for stabilizing a He-Ne laser to 2 parts in 10^10 has been patented. At 632.8 nm, what would be the coherence length of a laser with such frquency stability.


Homework Equations


Coherence time =1/delta frequency
coherence length = c/delta frquency


The Attempt at a Solution



dont know what 10^10 stands for and how to solve this
help would be much appreciated.
 
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  • #2
I think it means that the technique assures you that if you choose to give the laser a frequency f, then the actual frequency of the laser will effectively be f with an uncertainty of only ±(2*f*(10^-10)).

See what I "did"? I shopped up f into 10^10 equal parts, then said that the uncertainty of f is 2 of those parts: 2*(f/[10^10])
 
Last edited:
  • #3
10^10 means 10 raised to the power of 10, which is 10 billion. So the frequency is stable to 2 parts in 10 billion.

What is the frequency of the HeNe laser?
 

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The superposition of two waves is when two waves meet and overlap in space and time. This results in the combination of the two waves, creating a new wave with a different amplitude, frequency, and wavelength.

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Yes, two waves with different frequencies can superpose. The resulting wave will have a frequency that is the average of the two individual frequencies. This is known as the beat frequency and can be observed in music when two instruments play slightly different frequencies at the same time.

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The energy of the resulting wave from superposition is equal to the sum of the energies of the two individual waves. This is known as the principle of superposition and is a fundamental concept in wave mechanics.

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