Regarding the radiation pattern of ATC speakers which use that big 3" dome midrange on a shallow waveguide -
As a general ballpark rule of thumb, a horn or waveguide starts to lose directional control below the frequency where its dimension in a given direction is less than 1/2 wavelength, though it still has some directional control down to the 1/4 wavelength frequency.
It looks to me like the round waveguide is about 3" in radius (6" in diameter) and maybe 1.75" deep. The 1.75" depth is the limiting factor. Assuming these numbers are correct, theoretically the waveguide will start losing directional control around 3.8 kHz, and it won’t have much effect below about 1.9 kHz. The directional control won’t fall off a cliff because the radius of the wageguide is still large enough to impart some control, but it’s being largely short-circuited by the shallowness of the waveguide.
You can see the off-axis response out to 40 degrees in the measurements made by Troels Graveson, scroll down about 1/3 of the way:
http://www.troelsgravesen.dk/ATC-SM75-150.htm
It looks to me like useful pattern control is maintained down to about 1.6 kHz, so a little bit lower than my calculation.
In the SCM40 the upper crossover point is 3.5 kHz, so the shallow waveguide is narrowing the radiation pattern from there down to about 1.6 kHz, a range of a little over an octave.
I would expect the direct radiator dome tweeter that takes over north of the 3" midrange to have a wide radiation pattern in the crossover region, narrowing of course as we go up in frequency and the wavelengths become shorter. So even if the midrange dome’s waveuide was large enough to exert serious directional control across its range, the tweeter would still have a wide pattern.
I used to be a dealer for ATC, and remained one up until the time I started manufacturing loudspeakers. I think very highly of ATC, and in particular I think very highly of that dome midrange, but "directional" is not a term I would have used to describe ATC speakers.
Duke
dealer/manufacturer