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Many papers about random lasers mention the Q-factor of random lasers. Since a random laser has multiple peaks close to each other like shown in the figure. Does each of these peaks correspond to a unique random lasing mode, or is it just a single mode?

Randmom peaks during random lasing

Similarly what is the right way to calculate the Q-factor of this random laser (example plot shown below) : Should it be wavelength at Peak1 divided by FWHM at (blue line) or wavelength of Peak1 divided by FWHM at (red line) ?

Q-factor calculation in a random laser

Should the Q-factor be calculated at -3db or FWHM?

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I haven’t looked to see what the random laser practitioners do, but if it were me, I would fit the combined peak as the sum of two individual peaks and get the line widths from the fitting parameters. Then you just report what you did.

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