In Reply to: RE: that may well be the case, Dave ... posted by Satie on August 15, 2015 at 00:20:24:
Did you look at Figure 2 (and the others for straight line sources) in the Ureda paper?
It's well described in Section 3 of his paper.The math does get a little involved, but the simplified function is noted in 3.3.
Implementation of the crossover is key in real-world systems, and much depends upon the frequency range the line source is driven. I suspect that's what you're noting with your "no vertical component" observation.
I hope you're not arguing that line-sources have no inherent disadvantages relative to "conventional" and/or point-source radiators. All of them have inherent advantages and disadvantages. If you add up all the pluses and minuses, a point-source radiation characteristic would be optimum in a free-field environment. But those are (essentially) impossible to construct. (At least for a full range speaker system.)
The objective in any speaker system should be to make them as small (acoustically) as possible. Any time you make them larger, things get more complicated. :)
Dave.
Edits: 08/15/15
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Follow Ups
- RE: that may well be the case, Dave ... - Davey 06:42:46 08/15/15 (1)
- RE: that may well be the case, Dave ... - Satie 14:18:42 08/16/15 (0)