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What is the equation linking the minimum spread in wavelength and frequency of a pulsed laser, in relation to the lasers pulse time and operational wavelength.

For example:

If a Neodymium laser operates at a wavelength of 1×10–6 m and the laser is operated in pulsed mode, emitting pulses of duration 3×10–11 s.

What is the minimum spread in frequency and wavelength?

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  • $\begingroup$ Neodymium laser isn't really a good example I think. It's (as far as I recall) far from limit, which is given by Fourier transform. I don't remember exact equations now, but look-up Fourier-limited lasers pulses and you will get what you need. It's somewhat resembling Heisenberg uncertainty principle binding time and bandwidth. $\endgroup$ – Jarosław Komar Dec 19 '14 at 12:07
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Obtain the frequency spread from the Energy-time uncertainty relation. Then you argue that from Energy-frequency relation and wavelength spread by extension can be calculated..... Just a trial. Thank you.

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  • $\begingroup$ It's not really clear how this answers the question - why would the quantum energy-time uncertainty relation be the thing that imposes the limit on a pulsed laser? Could you elaborate? $\endgroup$ – ACuriousMind May 11 '17 at 21:22

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