On 2011-11-23, Fons Adriaensen wrote:
I don't think you need to reformulate the theory. Air absorbtion can be taken into account numerically just in the same way as the frequency response of the reflecting surfaces.
Seconded. The absorption term also seems to be pretty simple in the analog/continuous time domain: it's more or less a first order lowpass filter. As Fons already said, that applies even within a room. Not just in free space.
If you want to do something new, though, you should try to model ray acoustics within a diffractive environment. A room with angles and all that. Here in Finland, Ville Pulkki has tackled the special case already ( http://www.acoustics.hut.fi/demos/diffr-visual/ ) . But in the general case, nobody really knows how to do modal analysis on the one hand, ray acoustics on the other, and what-the-fuck Ville did in between the rest of the time.
(Mind me, I do know about cone tracing and whatnot. I've seen most of the papers, just via personal interest. I'm not impressed with most of them, because they seem to not mind how wavelength dependent audio work is, as opposed to the visual kind. Or perhaps rather, how short the visual waves are as opposed to the auditory kind. :)
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