Coherence length of monochromatic laser

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Homework Help Overview

The discussion revolves around measuring the coherence length of a monochromatic laser, with participants exploring experimental methods and theoretical concepts related to this topic.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using a Michelson interferometer to measure path differences and coherence lengths, while also considering the quality of the laser used. Questions arise regarding the measurement of spectral bandwidth and the necessary resolution of spectrometers. There is also inquiry about the procedure for using a spectrometer to measure bandwidth.

Discussion Status

Some participants have provided guidance on using a Michelson interferometer and the importance of high-resolution spectrometers for measuring bandwidth. However, there remains uncertainty about the specific procedures and equipment needed, as well as the relationship between bandwidth and coherence length.

Contextual Notes

Participants note the requirement for high-resolution measurements and the challenge of selecting appropriate equipment. There is mention of the need for clarity on how to practically implement the measurements discussed.

elif
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Homework Statement


Hi.I need an experiment to study and present it.the subject is how to measure coherence length of a monochromatic laser ? lm also search on google.However,is there any advice from you ?

Homework Equations

The Attempt at a Solution

 
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You can use a Michelson interferometer and see how long is the path difference when the interference is not blurred yet.
But lasers can have very long coherence lengths. Choose a not too good laser.
 
ehild said:
You can use a Michelson interferometer and see how long is the path difference when the interference is not blurred yet.
But lasers can have very long coherence lengths. Choose a not too good laser.
But the teacher ask for also long coherent length.I learn that I can use a spectrometry to find bandwith and then calculate the coherent length.But I couldn't find how can I get bandwith measurement? And I wonder up to what coherent length I can use michelson interferometer
thank you so much
 
To measure the spectral bandwidth of the laser radiation you need very high resolution of the spectrometer. The resolution must be much better than the bandwidth of the laser.

The coherence length L is c/Δf, where Δf is the bandwidth, difference of the frequencies where the power is half the maximum.

The coherence length of He-Ne lasers are in the range of several cm - several dm. But high-quality lasers can have even 100 m coherence length.

Some things to read:

http://en.wikipedia.org/wiki/Coherence_length
http://www.rp-photonics.com/coherence_length.html
http://www.answers.com/Q/What_are_the_coherence_lengths_of_the_different_types_of_lasers
 
ehild said:
To measure the spectral bandwidth of the laser radiation you need very high resolution of the spectrometer. The resolution must be much better than the bandwidth of the laser.

The coherence length L is c/Δf, where Δf is the bandwidth, difference of the frequencies where the power is half the maximum.

The coherence length of He-Ne lasers are in the range of several cm - several dm. But high-quality lasers can have even 100 m coherence length.

Some things to read:

http://en.wikipedia.org/wiki/Coherence_length
http://www.rp-photonics.com/coherence_length.html
http://www.answers.com/Q/What_are_the_coherence_lengths_of_the_different_types_of_lasers
I think I read all of them before asking that question :) But I need to describe how can use a spectrometer to measure bandwith ? what is the procedure...etc.For michelson I know what I need to do.Also do you know which spectrometer should I use ?
 
elif said:
I think I read all of them before asking that question :) But I need to describe how can use a spectrometer to measure bandwith ? what is the procedure...etc.For michelson I know what I need to do.Also do you know which spectrometer should I use ?

Sorry, I can not help as it would need a very-high resolution spectrometer. In principle, you have to scan the source spectrum around the nominal wavelength and find the frequency, where the intensity falls to half of the maximum.
You can find the linewidth for given coherence length at the page http://www.rp-photonics.com/coherence_length.html. The resolution must be much better then the linewidth.
 

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