What is the coherence length and coherence time of the filtered light?

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SUMMARY

The coherence length and coherence time of filtered light can be calculated using the equations provided in the discussion. Given a mean wavelength of 600 nm and a pass band of 10 nm, the coherence length (lc) is determined using the formula lc = λ2/Δλ, resulting in a coherence length of 36,000 nm. The coherence time (τ0) is calculated using τ0 = 1/Δν, where Δν is derived from the spectral width, leading to a coherence time of approximately 0.6 ps.

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Homework Statement



A filter is used to obtain approximately monochromatic light from a white sources. If the pass band of the filter is 10 nm, what is the coherence length and coherence time of the filtered light? The mean wavelength is 600 nm.

Homework Equations



c\tau_{0}=l_{c}
<\tau_{0}>=\frac{1}{\Delta\nu}
l_{c}=\frac{c}{\Delta\nu}=\frac{\lambda^{2}}{\Delta\lambda}

The Attempt at a Solution



The problem gives me the wavelengths, so I would star by using the third equation. However, I don't understand the book's description of D lambda, the spectral width, and I'm not sure which wavelength to use, 600 nm or 10 nm,
 
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That's not advanced physics. Still, I think that \lambda = 600 \tex{ nm}, and \Delta\lambda = 10 \tex{ nm}.
 
o, okay, thanks a lot
 

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