This did not answer my question.
Are you saying that the dimension of horn height and the dispersion angle for vertical dispersion are used in a formula that determines the lowest frequency of control for the horns dispersion width?
I am asking because you referenced the height and the vertical dispersion angle and then used the word "wider" which I would take to mean increase the horizontal angle.
Also, is this true for all waveguides or is this formula for CD horns?
Lee
Yeah-maybe I wasn't clear. I was giving 2 examples.
Basically each part of the horn (horizontal and vertical) are figured out separately.
The thing that causes pattern flip is when one side (vertical or horizontal) starts to lose pattern control before the other.
In the perfect world, they should both lose it at the same time so the pattern expands the same in all directions the same.
The formula is Don Keeles from many years back.
It is basically the mouth exit size.
But there is a "wrinkle" (isn't there always?).
In many horns the last part of the horn is wider than the actual rated pattern.
This is done to "ease" the horn transition and help reduce edge reflections.
So the "effective size" of the horn is not the actual outside edge, but somewhere between where the horn used for pattern control ends and the actual final exit of the horn.
And the number that is derived from the formula is a "basic" number.
As with most things audio, it does not start and stop there-but that number is in the "grey area" or area of transistion, but it does give a good idea.
The problem with the different types of horns is that some horns have VERY different patterns at different freq.
The old exponential horns would get REAL beamy higher in freq, and at that freq the actual coverage pattern was not even close to the rated pattern (that the horn had at lower freq). But there was more gain up high because of that.
The formula "assumes" that the horn will have the same coverage pattern for all freq, until the horn starts to lose control.
And while it does not apply to every horn, it can be a really good "rule of thumb" or starting point to figure out approx where the horn will have pattern control down to.
Of course the ACTUAL best thing is to measure the horn and look at the polar patterns. THAT is reality.
But I highly doubt (I could be wrong) that any horn would have pattern control any lower than the number indicates.