Tried posting this to a physics newsgroup, but haven't gotten a reply yet. Thought it might be more productive to post here...
I'm studying a resonant system in which the peaks over a wide range of central frequencies are well-fitted by a Lorentzian with a width (gamma) proportional to the square root of the central frequency -- or, equivalently I suppose, a resonance with a quality factor also proportional to that square root.
Does anybody have any experience with resonances of this form? I've been trying to understand what it says about the nature of the resonance, but haven't managed much.