Since Dr Griesinger's statement in his
asa05 paper regarding "standing waves preserve the original sound direction information" was brought up in this discussion, I'd think an explanation of the "physics" of standing waves would be in order.
A standing wave is the result when two (or more) sound waves of the same frequency, traveling from different directions, meet each other. One common scenario would be a reflection from a surface perpendicular to the sound source, and is illustrated below. We have a left traveling and right traveling waves (10 cycle tone bursts) of the same amplitude and frequency. This can be thought of as a sound wave reflected by a perfectly reflective wall at x = 0. In this model, the "room" is where x > 0. The right traveling wave starting from x < 0 is the "reflection image" of the left traveling wave in the room traveling towards the wall at x = 0.
As the incident and reflected waves meet each other, they sum to a standing wave. A standing wave looks like a stationary oscillating wave, with the profile of its peaks and troughs stays stationary in space. But it is in fact the sum of a right and a left traveling waves. The two red dots, located at two different null locations (in the "room") are indicators of the sound pressures at those two locations at the given moment. They are to help showing the characteristics of a standing wave.
Now, this isn't a room mode yet (it is more akin to SBIR). This illustration only shows the sum of the incident and reflected waves for a single reflection, and thus the resultant peak pressure cannot exceed twice that of the incident wave (6 dB increase). A room mode happens when there is another reflecting surface (e.g. for an axial mode, the wall at then other end of the room, at a distance that conforms to what is required at that particular room mode frequency) reflecting the wave back. And when duration of the excitation is sufficiently long that the wave can bounce back and forth in the room more than once or twice before the excitation terminates, we build up a room mode and the built up pressure peaks can be many times that of the original excitation, depending on the Q (how much damping) of the mode.
We can also see that, for the room mode to build up, the repeated wave reflections will have to come and go in the same direction. Therefore, the directions of travel of the opposing waves in a standing wave stay constant, and this gives our binaural hearing the opportunity to sense its directional nature. (Note that for spatial bass Dr Griesinger is talking about the sensations of spaciousness, envelopment, and externalization, not source location.)
Below show the direction of wave propagation for the 3 types of room modes for a
rectangular cuboid room.
Picture source:
Acoustic treatment certainly isn’t going to alleviate any disgruntled neighbours complaining about the thumping low end emanating from ...
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