A What is the relationship between spectral coherence with respect to a radiation source's mean wavelength and bandwidth?

  • Thread starter pbeierle
  • Start date
Summary
What is the relationship between spectral coherence with respect to a radiation source's mean wavelength and bandwidth? I have no idea how to estimate, given a particular radiation spectrum from a source, what it's spectral coherence is going to be.
What is the relationship between spectral coherence with respect to a radiation source's mean wavelength and bandwidth? I have no idea how to estimate, given a particular radiation spectrum from a source, what it's spectral coherence is going to be.
 

Charles Link

Homework Helper
Insights Author
Gold Member
2018 Award
4,322
1,814
A couple simple calculations should get you there: ## L_c=c \Delta t ##, and ## \Delta t=\frac{1}{\Delta f} ## (approximately). Since ## f=\frac{c}{\lambda} ##, ## |\Delta f|=\frac{c}{\lambda^2}\Delta \lambda ##. The result is ## L_c=\frac{\lambda^2}{\Delta \lambda} ##, so that ## \Delta \lambda=\frac{\lambda^2}{L_c} ## if I got all of the algebra right. ## \\ ## See also http://electron6.phys.utk.edu/optics421/modules/m5/Coherence.htm Factors of 2 and ##\pi ## are somewhat arbitrary here.
 

Want to reply to this thread?

"What is the relationship between spectral coherence with respect to a radiation source's mean wavelength and bandwidth?" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top