Regarding the concerns raised by
@Cosmik and others about the rearward wave from a dipole being in opposite phase to the front wave, I can't help noting that the path length of the first frontwall reflection from a pair of stereo speakers will inevitably be different from the path length of the first front wall reflection of an acoustic source in the location of the phantom image.
To illustrate, the actual path length of the first front wall reflection from the right speaker is shown in red, while the path length of an imagined source in the location of a phantom image is shown in pink (speakers are black circles, phantom "source" is a grey circle, and listener is a blue circle):
View attachment 24674
In other words, there is a mismatch between the path length of the first front wall reflection from the speaker and the path length of the first front wall reflection that a real object in the location of the phantom centre
would have created.
As a result, the relative phase of the direct sound and the reflected sound will be different from a pair of stereo speakers than it would have been from a sound source in the location of any phantom image.
How different it is will depend on:
- the location of the phantom image
- the distances between each speaker and the front wall, the other speaker, and the listener
- and moreover will vary with frequency
Nevertheless, we interpret sound objects as clearly coming from the phantom centre (and other phantom locations between the speakers).
My point is that having a speaker that produces in-phase output both forward and rearward will
never (in stereo) result in the phase of the front wall reflection matching the phase information of a hypothetical sound source in the location of the phantom image - at all or even at most frequencies.
(Of course, the same goes for all other reflections too, but we are discussing dipoles here so I'm limiting this comment to front wall reflections in this case.)
In fact, it is conceivable that dipoles in a certain position relative to each other and the listener, and at certain distances from the walls, will produce a front wall reflection that, at certain frequencies, better matches the front wall reflection that a phantom image would have produced. Indeed, at certain frequencies it's almost certain that this will be the case.
Given this, perhaps it's unsurprising that dipoles don't sound as weird as one might imagine they should.