What determines off-axis performance

corElement

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This is something that I've always wondered about and never really got around to asking it.

So what kind of things determine the off-axis performance of a speaker?
 
Four measurements :
On-axis frequency response - Measured directly in front of the speaker face (2 or 3 meters).

Purpose: Shows the forward-firing output of the loudspeaker across the audible frequency spectrum.

What it tells you: In comparison to the 15 degree and 30 degree measurements we do, this measurement should be the flattest and have the widest bandwidth. Bandwidth refers to the upper (highs) and lower (bass) frequencies that the loudspeaker under test will reproduce. Most good speakers today will extend easily to 20kHz and beyond, although bass performance will vary widely. Full-range is considered 20Hz to 20kHz, but only the largest loudspeakers can approach 20Hz and even some very large speakers will not be "flat" at 20Hz. Many subwoofers cannot reproduce 20Hz at the same sound pressure level as they reproduce 50Hz. One should recognize that since these measurements are performed in anechoic chamber, they will generally show less bass than what you can expect in a real room.

Although all frequency response measurements will have some bumps, in general, good speakers will have a smooth and even response within its bandwidth without many severe dips or bumps. Dips indicated less output at that frequency while bumps indicate more. The audible result of the dips and bumps in the response curve will depend on the frequencies where they occur. A bump in the upper bass may make the speaker sound boomy. A dip in the midrange can make the speaker sound recessed

Off-axis frequency response (15 degrees) - Measured horizontally at 15 degrees off-axis from the loudspeaker face (2 or 3 meters).

Purpose: Measures output of loudspeaker at 15 degrees from the center position across the audible frequency spectrum. This mimics the sound that you would get at your listening position with the speakers toed-in somewhat, but not directly aimed at your ears.

What it tells you: Ideally this should be very close to the on-axis response, although it will likely vary downward, particularly at higher frequencies. Speakers that have off-axis frequency response that matches the on-axis response are said to have good dispersion characteristics.

Off-axis frequency response (30 degrees): Measured horizontally at 30 degrees off-axis from the loudspeaker face (2 or 3 meters).

Purpose: Measures output of loudspeaker at 30 degrees from the center position across the audible frequency spectrum. This measurement is useful for predicting how strong the early reflections from the side walls of the room will be. There will likely be more high frequency roll off than the 15-degree off-axis measurement, but the curves should complement each other and not vary radically.

What it tells you: Like the 15-degree response, this one should ideally be close in shape to the on-axis response. However, this one will likely be lower than the 15-degree response. Like all response measurements one should look examine the bandwidth and the smoothness of the response across that range. If the off-axis response at 30 degrees is very close to the on-axis response the speaker would be considered as having excellent off-axis response.

Sensitivity - Averaged response from 300Hz to 3kHz for input signal of 2.83V.

Purpose: Expresses the output level of the loudspeaker with standard input voltage.

What it tells you: How much power will be needed to drive the speaker to achieve any given listening level. A sensitivity of 92dB and above is relatively high, so the speakers will require less power for any given listening level, while a sensitivity of 85dB and below is low, which means the speaker will require more amplifier power for the same listening level as the
more sensitive speaker. Sensitivity does not correlate with speaker quality and should only be used to determine how much amplifier power one will need to drive a speaker to sufficiently loud levels.
 
I think the shape & material of the dome/ribbon or whatever it is determines how the sound waves leave the driver surface and propagate through the air.

Now these propagated sound waves determine the off axis and on axis response.
 
Off-axis measurements using a test & measurement grade microphone are always referenced at a distance of 1 metre from the speaker's baffle.

Off-axis frequency response curves tell us how much deviations will occur when the speaker is off-axis, for example by 30 degrees from on-axis or 40 degrees and so on. Generally, there is a sharp drop of the higher treble energy of a speaker.

Horizontal & Vertical dispersion angles of the speaker will largely affect the off-axis response of the speaker. The impedance & phase characteristics will also affect the on-axis & off-axis response of a said speaker.

Generally it is seen that wide horizontal dispersion speakers offer smoother off-axis responses with less deviations from on-axis.

Wide dispersion also increases the area of the listening sweet spot so that it is wider and more than 1 listener can be accommodated for any sort of critical listening.

This is more common with Studio grade monitors esp the big famous brands that are engaged by the leaders of this industry. It helps to create a much wider critical listening sweet spot just in front of the very wide mixing station in the studio. Thus, more than 1 engineer can easily continue to carryout the job successfully without compromise.
 
In laymen's terms: Similar response curve on-axis/off-axis (15/30 degrees), means speakers have a wider/bigger sweet spot. Variation is these measurements mean the speakers have a much focused image.

Now, this "much focused image" may be a good thing or a bad thing. Depending what you like or what you need. In some set ups a focused image may sound too restrictive, in other set ups it can create a pin point image.

Generally, you would like the measurements to be similar, but if they are not, they will benefit a lot by toe-in in large spaces.
 
Here is my thought,

Ideally a vibrating point(expanding and contracting) or sphere would have same on-axis and off-axis response(as there is no axis and sound would be emitted in all directions). But its impossible to design such a driver. Hence the next closest shape that we are able to design correctly is cone.
Now, as the cone material vibrates, it radiates the pressure change. For LF, this pressure change is higher and hence it mixes more with surrounding air(also get reflected easily because of larger energy). End effect is better off axis response for LF.
In case of HF, its the opposite, it mixes less and hence have bad off axis response(gets absorbed easily).

Here is something from wiki -
1. The larger the source is compared to the wavelength of the sound waves, the more directional beam results.
While a large loudspeaker is naturally more directional because of its large size, a source with equivalent directivity can be made by utilizing an array of traditional small loudspeakers, all driven together in-phase.

Now coming to what causes better or worse response.

Dome shaped tweeter would give better off axis response as dome is semi-spherical. If entire dome is vibrating ideally then it should give proper off axis response upto 180 degrees. But most materials are not ideal and hence only part of the entire dome would vibrate correctly and hence off axis response of dome would not be very good(but it would be better than similar cone). Compared to this, planer tweeter might be more directional.

In similar way, for woofer the angle of cone would matter. The higher the angle better, would be the dispersion(better off axis response, and also first rule applies). Also the driver material would dictate the dispersion, as it dictates how properly entire driver material can vibrate correctly.

Any corrections, thoughts welcome.
 
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So what kind of things determine the off-axis performance of a speaker?

Purpose designed drivers mated with purpose designed waveguides have long been a solution used by pro-audio loudspeaker manufacturers to achieve constant directivity and improve the off-axis response of their loudspeakers.
Now-a-days a lot of the high end studio loudspeaker monitor manufacturers use waveguides on the tweeter and midrange drivers to achieve constant directivity and a considerable improvement in the off-axis response
 
Now-a-days a lot of the high end studio loudspeaker monitor manufacturers use waveguides on the tweeter and midrange drivers to achieve constant directivity and a considerable improvement in the off-axis response

Interesting, I didn't realize wave-guides contributed to axis performance.

One of the causes of a poor off-axis response from the tweeter and midrange drivers is due to cabinet edge diffraction. A well designed constant directivity waveguide also narrows the dispersion width of the tweeter and midrange drivers and focuses their sound radiation more towards the front, and less to the sides, thus reducing the sound energy that reaches the cabinet edges. This will reduce the effect of cabinet edge diffraction and improve the off-axis response considerably

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