Drofro, thanks for the additional information. Very interesting.
You're right that the very deep bass is omnidirectional. But, the mid and highs are not, and they're an important part of the timbre of the instrument. A large cone will be quite beamy at high frequencies, even though its on-axis response may extend quite high. Take a look at the second page at this link:
http://www.parts-express.com/pdf/264-334.pdfNow at most normal listening distances the power response (summed omnidirectional response) dominates, so even though the on-axis response shows a distinct rise in the lower treble region the overall energy put out into the room up there is significantly down in level. Still using this driver as an example, I'd be inclined to cross over to a wider-pattern driver (midrange or tweeter) above 2 kHz to preserve the upper harmonics. I'd probably filter the woofer's output so that we don't get an on-axis "hot spot" up close, where that screaming peak at 3 kHz rips your head off.
So anyway it's not at the lower part of the spectrum that I'd worry about the radiation pattern - it's in the upper part.
Now maybe I'm being totally unrealistic here, but seems to me that most bass guitar cabs are optimized to give the loudest usable bass per dollar. That's no doubt a worthy goal, but I wonder if, at a given price point, some bass players might trade off some quantity for a bit higher quality. I'll probably have to build a prototype or two to find out.
As ooheadsoo points out, light weight is definitely desirable in a bass cab for those who don't have roadies. Unfortunately, adding a good mid/high frequency driver plus crossover can easily add 8 or 10 pounds and a couple hundred dollars in cost, so as in all things audio it becomes a juggling of compromises.
As a side note, light weight may become a desirable feature in a home audio speaker. If the present economic downturn continues for a long time, it will squeeze brick-and-mortar high-end audio shops pretty hard. With fewer places to demo speakers, shipping speakers for an in-home audition may play a larger role. I probably picked the wrong type of speakers to manufacture for that situation - mine range from big to huge, and from heavy to you've gotta be kidding me.
I appreciate you both participating here. You're helping me out.
Duke