Re: Line arrays and inter-element angles.
Helge, et al.,
I could write a huge tome on this topic, which is really our industry fumbling about in the world of antenna theory. Here are some brief points that may give you some things to think about:
Practical implications for system techs using vertical arrays:
There's much more on this topic, but this is a workable start.
An important PS: Curved, finite arrays of all types, regardless of brand/orientation/configuration exhibit behaviors dictated by physics. Horizontal arrays of point source boxes show their same incarnations of the effects above. The real question is whether it makes sense to segment an audience vertically, or to segment it horizontally, and that is room by room dependent.
Helge, et al.,
I could write a huge tome on this topic, which is really our industry fumbling about in the world of antenna theory. Here are some brief points that may give you some things to think about:
- The lobing and/or narrowing behavior along, above, and below a curved, finite arc is a function of the amplitude and phase at each point along the arc. These effects are purely physics, and exist in the presence of a perfect arced source, before we introduce real drivers/waveguides.
- The far-field response of a finite, perfect arced source is not flat along the listening plane we would normally define for our audience area.
- The behavior of a box in an array is a function of its radiation environment. The vertical directivity and overall axial response of a box in the middle of an array is different than a box at the top or the bottom.
- The behavior of the off axis lobing is influenced by the curvature of an arc. Curvature changes the arc shape, total group delay of each element at a given listening point, and radiation environment around a given box.
- Once wavelengths get long enough, the effect of array curvature does very little, as the delays induced are small versus wavelength.
- The 3dB per distance thing that gets tossed around is completely, fundamentally incorrect for how we use vertical sources. It is merely a mathematical curiousity that falls out of playing with an infinite array, and thus the observer completely within the array length.
Practical implications for system techs using vertical arrays:
- Generally, increasing inter-box curvature helps distribute lobes and reduce the intensity of any individual one.
- Effects of arc sources typically require box aim points to be higher up the back wall than on would choose based on a waveguide's nominal coverage angle.
- The overall coverage of the array is essentially never simply the included angle of the array curvature. Furthermore, it is frequency dependent as function of array length.
- While a deep and challenging topic, shading is not your enemy. Certain, well designed shading methodologies can greatly reduce side lobe effects. See, for example, Don Keele's CBT array.
- The "virtual source location" of the various frequency ranges in the array tends to move from the top of the array towards the middle as the frequency gets lower. A lot of advanced system tech techniques are about managing this effect, and bringing these in line.
- The primary down lobe from the straightest section at the top of the array can land inside the audience coverage zone, depending on geometry.
- The dominant unwanted down lobes of a typical line array usually falls between 1 and 3kHz.
- Even if the bottom boxes of the array are providing reasonably uniform high frequency coverage up near the stage, downlobes from the array can render very uneven response in the upper midrange near the stage.
There's much more on this topic, but this is a workable start.
An important PS: Curved, finite arrays of all types, regardless of brand/orientation/configuration exhibit behaviors dictated by physics. Horizontal arrays of point source boxes show their same incarnations of the effects above. The real question is whether it makes sense to segment an audience vertically, or to segment it horizontally, and that is room by room dependent.
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