Calculating Spectral Band Width for Green and Sodium Light

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SUMMARY

The discussion focuses on calculating the spectral bandwidth for green light (546.1 nm) and sodium light based on measured coherence length. The coherence length (Lcog) is given as 0.122 mm, which is directly related to the time coherence (tcog) and bandwidth (Δf) through the equation Lcog = c tcog = k (c/Δf), where k is dependent on the spectral shape. The user seeks theoretical values for the spectral width of both green and sodium light to aid in their lab report.

PREREQUISITES
  • Understanding of coherence length and its significance in optics
  • Familiarity with the relationship between coherence length and spectral bandwidth
  • Knowledge of the speed of light (c) and its role in optical calculations
  • Basic grasp of spectral shapes and their influence on bandwidth calculations
NEXT STEPS
  • Research the theoretical spectral bandwidth values for green light and sodium light
  • Study the derivation of the coherence length formula in optics
  • Explore the impact of different spectral shapes on bandwidth calculations
  • Learn about the practical applications of coherence length in optical experiments
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Physics students, optical engineers, and researchers involved in experimental optics or studying light properties will benefit from this discussion.

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Homework Statement



I'm trying to write up my physics lab but i don't know how to calculate the spectral band width.


Homework Equations





The Attempt at a Solution



I measured a coherence length for green light (546.1nm) to be 0.122mm. How do I calculate band width from this information that I measured?? Also I can't find the theoretical values for the spectral width for green light and sodium light. Does anyone know these values or know where to find them?

Thanks
 
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NOTE the 546.1nm stated is the wavelength of green light.
 
The coherence length [tex]L_{cog}[/tex] and time cogerence [tex]t_{cog}[/tex]
and band width [tex]\Delta f_[/tex] are related

[tex]L_{cog}=c {\;} t_{cog}=k \frac{c}{\Delta f}[/tex]

where k depends on the shape of spectrum.
 

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