Factory Direct: The EAW 760 Revealed
The curved source - more than a line array, it’s all in the splay

This Factory Direct was submitted from the loudspeaker manufacturer Eastern Acoustic Works. LSMAG! makes every effort to eliminate any use of marketing inspired hyperbole. Just the facts, is all we ask.



The concert touring EAW KF760 Series would commonly be called a “line array” system. It is, however, designed and acoustically defined as a curved source. The KF760 Series includes two products; the KF760 and KF761.

For concert applications, the KF760 is used for short to long throws (70to400ft/20to120m) while the KF761 is used for near field (10to100ft/3to30m). Normally, both are used together in each array to provide appropriate audience coverage for typical venues. In smaller venues a KF760 Series array might consist entirely of KF761s.

ARRAYS, ACOUSTICS & CONTENT


The KF760 Series was conceived as an array system so the individual loudspeakers (KF760 and KF761) that comprise the KF760 array elements would be designed to work together and interact in multiples. This is a far different approach from designing loudspeakers to work as stand-alone units. In fact, the KF760 and KF761 both have significant performance limitations when used singularly.

For this reason, the minimum recommended number of enclosures for a KF760 Series array is four while the optimum recommended complement is eight or more. The KF760 and KF761 each have a number of unique design elements that, when used in multiples, address specific issues of uniform, smoothed frequency response, controlled dispersion, and high output level.

Venue acoustics are an uncontrollable variable. They are primarily addressed by loudspeaker array dispersion. Special attention is also required to produce smooth transition and consistent dispersion performance through the crossover region.

Consistent dispersion control over an array’s full frequency range and varied dispersion, for specific venues, requires solutions unique to each range of wavelengths involved, in both the horizontal and vertical planes. This is no easy task.

Program content governs any loudspeaker system’s frequency response, as well as the output levels required across the frequency spectrum. While program content may seem like another uncontrolled variable, hard data related to program content can be obtained and applied to array engineering.

In regards to the KF760 Series measurements, traditional laboratory input signals, were the primary engineering tool because of their relevance to other data and the need to publish usable performance data. In addition, frequency spectrum data at multiple concert performances was used to evaluate real-world transducer and system capabilities.

DIVERGENCE SHADING


Traditionally, maintaining a similar SPL over varying distances from a concert array involves intensity shading. Intensity shading means varying the output of an array depending on where the sound is aimed.

This is usually done across an array’s vertical coverage by managing loudspeaker input levels. Equalization and signal delay are often used in an attempt to reduce destructive interactions between individual loudspeakers within the array.

Rather than intensity shading, the KF760 Series uses “divergence shading” to maintain a similar SPL over varying distances. Divergence shading means varying the dispersion angle depending on where the sound is aimed.

The KF760 Line Array uses two primary design elements in a complimentary combination to provide the required vertical output variations. The array is designed to have a tight, narrow vertical dispersion angle for longer throws, and wider vertical dispersion angles for shorter throws.

Strongly curved arrays serve the near audience, while the furthest audience members hear only slightly curved or uncurved array sections. As such, fewer loudspeakers are aimed towards the nearest listeners while more are aimed towards distant listeners. This is accomplished by varying angles between the axis of the loudspeaker enclosures.

The initial development work required a single curved source modeling to determine the required array curvature for design Element #1. Array analysis was distilled from a carefully selected variety of representative concert venues. The variable curvature was designed to work within this range of venues.

Single curved sources were then modeled using a number of identical (and far more practical) smaller sources and further analyzed in terms of what was needed for them to function like the single larger source.

ELEMENT #2

In addition to varying overall array curvature by varying the axial splay angles between sources, more vertical dispersion variability was needed. This led to design Element #2, which employed loudspeakers with different vertical dispersions.


Figure #1: The “Throw” Sections of a KF760 array

The curved source was then modeled using multiple sources with differing vertical dispersion patterns. It was found that the required variation in dispersion angles could be accomplished with four different rates of array curvatures in conjunction with two different models of loudspeaker.

Prototypes tested in the laboratory and at several typical concert sites confirmed this conclusion. (see Figure #1)

The resulting sound levels from these design elements proved remarkably consistent over a range of distances without the problems inherent to intensity shading.

The key to divergence shading is that each loudspeaker operates at the same input level within the array. The control variable is the angle over which segments of the array vertically disperse sound.

A narrower angle provides more output to a given point in space while a wider angle provides less output to a given point in space. This approach is analogous to a light beam.

Given the same lamp brightness (or input level), a narrow beam will concentrate more light to a given point than will a wide beam. Like traditional intensity shading, divergence shading is done in the vertical plane.

FREQUENCY DEPENDENT DESIGN ELEMENTS

To avoid discontinuities in both the frequency response and SPL, highly frequency dependent design elements are used, each functioning over a limited frequency range. Destructive interaction between vertically adjacent enclosures is minimized by reducing time arrival differences to the listeners from multiple transducers and/or enclosures.

At frequencies where physical dimensions prevent this, coverage is limited to a singular enclosure or transducer. Where there is overlapping coverage from multiple transducers and their horns, outputs are added coherently.

At shorter wavelengths, transducers are arranged so that sound paths from vertically adjacent enclosures to any particular listener originate from a single point of geographic origin behind the enclosures. At longer wavelengths, adjacent horns acoustically couple to form a unified, coherent wavefront.

All loudspeakers have the same input level to avoid complex and variable intensity, equalization, or delay settings in the signal processing. At lower frequencies, where vertical dispersion pattern widens for each individual enclosure, array length provides the necessary columnar behavior to maintain vertical pattern control.

At the lowest frequencies, the output of the individual enclosures couples coherently to both increase the low frequency(LF) output and extend the LF response. The sonic character of the sound is maintained for distances as close as around 15ft(4.6m) to as far as many hundreds of feet.

ACHIEVING HIGH SPL

High SPL is accomplished in a way that significantly simplifies the signal processing, amplification, and the physical setup. High sensitivity transducers and high power handling are a given for high output systems and the KF760 Series is no exception.

Other techniques used to maximize SPL capabilities while maintaining uniform frequency response and dispersion include multiple transducers within each bandpass, horn loading, tightly focused dispersion patterns, wavefront shaping, multiple enclosure coverage, line array effects, mutual coupling, and appropriate enclosure splays.

A normal technique for increasing SPL output to reach the furthest listeners is to use multiple transducers within a single loudspeaker and/or by using multiple loudspeakers. This effectively focuses more SPL within a given coverage area.

However, a problem inherent in doing this is that the source elements must be physically separated. As a result, time arrival differences to the listeners can create dramatic frequency-specific cancellations. These cancellations will occur at and above the frequencies where the physical separation approaches the sound wavelength.

Nonetheless, the KF760 design uses multiple transducers and enclosures aimed at the furthest listeners to achieve high SPL. However, it does this in a way to avoid destructive cancellations.

OVERCOMING MULTIPLE SOURCE ANOMALIES

The most difficult potential problem in a properly configured KF760 array is the long throw section, where enclosures are normally arrayed “flat-fronted”. In this case, multiple enclosures are at aimed at the same listening area. Several frequency dependent techniques are used to circumvent multiple source anomalies. These techniques carry over into the shorter throw (more curved) sections of the array.

UPPER HIGH FREQUENCIES (HF) >6kHz

Because the HF wavelengths are so short, any small, time arrival differences to a listener from multiple sources will cause cancellations that severely compromise the HF response. This is potentially compounded by the fact that each KF760 enclosure has two HF transducers.

To circumvent this problem, KF760 HF horn geometry is designed to provide an extremely narrow vertical pattern from each transducer in the highest two octaves. As the wavefront leaves the enclosure, the vertical pattern actually has less vertical height than the face of the enclosure with a nearly, but not quite, flat wavefront.

This combination ensures that, even at long distances, a particular listener is primarily listening to the highest frequencies from only one, or at most, two HF transducers. Because flat-fronted KF760s are only intended for long distance projection, any time offsets must be computed within this context.

Assume a listener distance of 300ft(100m) and three flat-fronted KF760s. A worst-case path length distance difference between any two of the six HF transducers would be 0.17in(4.3 mm). At 10kHz, this distance corresponds to a phase offset of about 45° and an SPL loss due to partial cancellation of only 0.7dB.

At 20kHz, the SPL loss would only be 3dB. However, this loss is a moot point because air losses will pretty much obliterate information above 10kHz at a distance of 300ft(100m).

OUTPUT LEVEL

A simple equalization boost compensates for the fact that only one or two transducers are providing the highest frequency information to any one listener. This boost also compensates for the natural roll-off of the horns. The required EQ boost does not overtax the transducers because of the low power requirements in typical program material at these frequencies. This boost can also incorporate some compensation for HF air losses at longer distances.


Figure #2: Graphs of Optimum 760 Vertical Splay Performance

VERTICAL DISPERSION

Although it could have been so shaped, the upper high frequency wavefront is not perfectly flat-fronted by design. Given the 7in(180mm) spacing between the HF transducers, an absolutely flat wavefront would actually produce too narrow a beamwidth from each HF horn, even at long distances, and thus create gaps in the vertical coverage.

These would occur primarily in the “seam” between any two transducers or enclosures. By providing a slightly arc-shaped wavefront, these seams are substantially filled in.

In the more highly curved portion of an array covering the medium to short throws, highest frequency reproduction is a viable goal.

In this case, the axii of the HF transducers are more widely splayed in vertically adjacent enclosures, essentially eliminating overlapping coverage and the resulting destructive cancellations in the uppermost frequencies. (see Figure #2)

HORIZONTAL DISPERSION

High frequency horizontal dispersion is controlled in a different way. The HF horn has a traditional diffraction slot throat that opens to compound expansion horn. At the uppermost frequencies, this design easily provides the required horizontal pattern control.(see Figure #3)


Figure #3: Side View of HF Wavefronts
from Multiple KF760 Enclosures

LOWER HIGH FREQUENCIES (1 kHz to 6 kHz)
Vertical Dispersion and Output

At the lowest two octaves reproduced by the HF horns, singular transducers cannot provide enough output, particularly for long throw use. This problem was to be solved using a multiple HF transducer approach. (see Figure #4)

Thus, a transition was needed to go from singular transducer coverage at highest frequencies to multiple transducer coverage at the lower high frequencies.

To accomplish this, the spacing of the HF transducers, within and between enclosures, was made small enough to keep time arrival differences within an acceptable range to avoid destructive cancellations.

For example, a listener at 150ft(50m) on axis of one HF transducer at the top of one enclosure would experience a time arrival difference of only 0.04 milliseconds between it and the bottom HF transducer in an adjacent enclosure.


Figure #4: Cross-section of KF760 enclosure

At 4kHz this is less than a 45° phase shift between the two transducers at the listener resulting in nearly coherent addition. This amount of phase shift results in only about 1dB less level than would be expected with perfectly coherent addition - well within acceptable limits.

To accomplish this, the HF horn geometry gradually and proportionally broadens the vertical wavefront for each of the two HF transducers at lower HF frequencies so that it emits from the entire vertical mouth area in each enclosure. However, the HF horn is physically too small to provide the necessary vertical dispersion control at these wavelengths.

By mounting the HF horns coaxially in the mouth of the MF horn, the MF horn actually becomes part of the HF horns, thus increasing their effective size at the longer wavelengths. As seen in the cross section, this arrangement of HF horns within each enclosure is essentially duplicated between enclosures. Thus the vertical interaction between any two HF horns, whether within or between enclosures is the same.

VERTICAL DISPERSION THROUGH THE CROSSOVER

At the HF/MF crossover frequency, the HF and MF subsections are both vertically dispersed using the same horn. Thus by definition, the vertical dispersion between the HF and MF sections through the crossover region is closely matched.

Horizontal Dispersion
Examination of the HF horn will reveal that it is not large enough to provide control of the horizontal dispersion in the HF/MF crossover region. It actually starts to lose its control above the desired crossover point. One element of the solution to this problem was carefully aligning the crossover to allow significant overlap of the MF transducers with the HF transducers. In this way, the MF transducer carries a good portion of pattern control burden for the lower HF frequencies.

MID FREQUENCY DISPERSION

The simple key for MF dispersion control is that the MF horn is sufficiently large enough to provide excellent horizontal and vertical dispersion control over most of the MF passband. The MF horn essentially takes up the entire face of the enclosure, except for the thickness of the top and bottom of the enclosure and the mouths of the LF horns on the sides.

At lower MF frequencies, where individual horns start to lose control, tight coupling of the enclosure fronts and minimal spacing of the MF transducers allow the MF horns in multiple enclosures to couple as if they were one larger horn, maintaining dispersion.

MID FREQUENCIES - 500Hz TO 1kHz
Horizontal Dispersion

Using dual MF transducers on a single horn presented a significant problem for horizontal dispersion in this frequency range. The physical separation of the MF horn throats in the horizontal plane within each enclosure is large enough to cause an off-axis cancellation (i.e. notch) within the operating passband.

This problem is acerbated by the presence of the coaxially positioned HF horn between the throat openings for the MF transducers. This created an even longer path length difference between the individual MF transducers to listeners well off-axis.

Two different solutions were implemented to mitigate this problem, both involving the “wing” positioned horizontally across the middle of the midrange horn. This wing is effectively an extension of the bottom and top flares for, respectively, the upper and lower HF horns, providing good vertical pattern control for the lowest HF frequencies.

This allowed the initial portion of the HF horn flare to be shortened, effectively reducing the off-axis path lengths from the MF transducers. The effect of this was to move the cancellation notch up in frequency and out of the MF passband.

Additionally, the wing provided a slight delay for the vertical center of the MF wavefront, changing what would otherwise be a spherical wavefront into a more cylindrical wavefront. This change in wavefront geometry also reduces the off-axis path length differences between the two transducers as well as enhancing the vertical pattern control.

MID FREQUENCIES - 200Hz TO 500kHz
Output

This critical frequency range provides the vast majority of fundamental midrange energy, and requires prodigious output levels. Therefore, multiple midrange transducers are needed to contribute to the sound for each listener. The physical spacing of the midrange horn throats is small enough that destructive interference between the two transducers is not a problem at these wavelengths.

Vertical Dispersion
Vertical dispersion in this frequency range is controlled using true line array principles. Starting with horns whose vertical dispersion is already narrow, the line lengths for typically sized KF760 arrays are long enough to achieve the desired vertical pattern control.

Destructive interference does occur off the vertical axis, but because of the narrow individual enclosure dispersion, the attenuation off axis is considerable. In the critical near-throw areas, these off-axis anomalies are essentially “swamped” by the output of the KF761s that provide on-axis coverage to these areas.

Horizontal Dispersion
The horizontal dispersion of these frequencies is accomplished by simply using a horn that is physically large enough to provide dispersion control. Because the sides of the MF horn mouths are essentially continuous along the vertical length of the array, they couple together as one larger horn, eliminating off-axis lobes in this frequency range. These lobes would occur if the fronts of the enclosures and therefore the horn mouths were vertically displaced.

EXTENDED HORIZONTAL COVERAGE

The KF760 model is designed with a nominal 80° horizontal dispersion pattern. This is sufficient for many applications with typical configurations that use left/right arrays. A significant attribute of the KF760 is that smooth frequency response is maintained well beyond its nominal horizontal dispersion angle. Actual measurements of a KF760 array, taken at 110ft(33m), show remarkable consistency to more than 60° off-axis, which corresponds to a 120° coverage angle.

At this angle, the response is within +2.5dB from below 125Hz to 10kHz. This means that, unlike typical concert loudspeakers, the degree of overlap between arrays is not frequency dependent. This is especially important for the lower midrange where severe “build up” can occur because of a lack of dispersion control. This creates significant frequency response problems that can require complex signal processing or difficult array positioning to correct.

This horizontal coverage performance has several important consequences. For audience areas well outside the nominal dispersion pattern excellent frequency response is maintained, albeit at reduced level. This creates a “soft-shoulder” in the coverage that is entirely usable for many applications to eliminate the need for additional fill arrays.

If side fill arrays are required, as is the case with wrap-around arena audiences, a KF760 array can transition smoothly to a KF760 or KF750 side fill array, without having to physically separate them, usually simplifying the rigging.

When using side fill arrays, the “soft shoulder” can be effectively used to expand the horizontal coverage. Using a 10° “soft shoulder” allows the coverage of four KF760 arrays to extend some 280°. This is well beyond the 240° that normally would be assumed using the nominal 80° dispersion pattern.

With typical left/right arrays, there will be a smooth transition between them because of the lack of side lobes.

KF761 DESIGN

The KF761 behaves similarly to the KF760, but with several important differences for its intended application. In the KF761, the HF and MF sections use the same physical horn.

Throughout the HF to MF frequency range the size of this horn is adequate to provide the needed vertical and horizontal pattern control. Tight packing the enclosure fronts provides the same continuous horn mouth concept used on the KF760 for the lower horn frequencies.

Keeping with the divergence shading concept, the shorter throw distances for the KF761 required the output to be lower than a KF760. To accomplish this without resorting to input level adjustments, the KF761 is designed with a wider horizontal and vertical coverage.

The KF761s also forms the portion of the array with the highest amount of curvature. Both these elements reduce the output for a given audience area compared to a KF760 without the necessity of changing the input levels.

Because the KF761 is used for short throw distances, geometry dictates that a wider horizontal dispersion is needed to provide coverage for the same audience width as the longer throw KF760s. In addition, the listening characteristics of the KF761 had to be engineered for listeners possibly as close as ten feet away.

Vertical and horizontal Dispersion ­ HF Section

Because the output requirements for the HF are relatively low and the possibility of destructive interference between multiple transducers over short distances is much higher, a single HF transducer is used in the KF761. The vertical dispersion for the entire HF range is controlled such that any listener in the near field of a KF760 array is addressed by only one KF761 HF transducer.

Vertical Dispersion ­ MF Section
Like the KF760, the KF761 midrange has two MF transducers mounted on a large horn to provide the necessary pattern control. However, they are slot loaded in the sides of the horn rather than coupling through a horn throat. This design means the transducers use the horn more as a wave-guide while still providing the sensitivity required for its intended application.

Horizontal Dispersion ­ MF Section
The dual MF transducers in the KF761 are spaced such that off-axis, the path length differences are small enough that cancellations are avoided within the MF passband. In addition, the horizontal dispersion is extended by the simple technique of line-of-sight.

As you move off-axis of a KF761, the physical location of the midrange transducers is such that one remains visible to listeners beyond the typical physical horn wall limitation. This provides essentially direct radiation to these areas.

KF760 INTEGRATION

At the highest frequencies, no integration between the KF761 and KF760 is desired because single transducer coverage is the norm in this range of frequencies for both models.

In the lower HF range, the KF760 and KF761 use different designs, however they are complementary in their behaviors for both the vertical and horizontal planes. In this frequency region the KF760 has design elements that allow two HF transducers and HF horns to behave as one. In the KF761, there is only one HF transducer and horn.

In the MF frequency range, the KF760 and KF761 MF horns are the same width and have similar expansion profiles. This largely prevents dispersion discontinuities between them. However, the MF horns in the KF761s are somewhat shorter so their rate of attenuation off-axis in the horizontal plane is less than the KF760, thus enhancing and extending the horizontal pattern for near field coverage.

In the lower midrange and low frequencies, the KF760 and KF761 designs are nearly identical. By definition, this assures the KF761 integrates well with the KF760 as well as other KF761s.

KF761 SONIC CHARACTER

Many concert loudspeakers are not suitable for nearfield listening. They are usually voiced too aggressively, particularly in MF and HF frequencies, in order to provide long distance projection.

While equalization can help, it cannot change this characteristic. The design intent for the KF761 was to “soften” the listening characteristic compared to the more aggressive sound of the KF760s required for long distance projection.

The basic design elements to accomplish this were using a single HF transducer on a larger horn with wider dispersion and slot-loading of the MF transducers. These design elements “tone down” the KF761 to the appropriate, non-aggressive sonic character needed for close-in listeners.

KF760 & KF761 - MID TO LF TRANSITION

Because of the longer wavelengths, maintaining pattern control commensurate with the higher frequencies through the mid to LF crossover is a problem area in typical loudspeaker arrays. Direct radiating LF transducers simply do not allow this kind control.

One key to achieving a good mid to LF transition in the horizontal plane is having excellent pattern control to a low enough frequency for the mid frequency section. This is achieved in the KF760 Series simply by the large width of the mid frequency horn and the fact that the MF horns in the lower frequency range couple together to function as a larger horn.

The other key is providing pattern control for the upper frequencies of the LF section. This is achieved in the KF760 Series with the spacing of the LF horn mouths in each enclosure. The mouths operate similar to a dipole radiator in that the spacing between them causes intentional off-axis phase cancellations.

This effectively provides attenuation proportional to the off-axis attenuation of the mid frequency horn. The result is a smooth crossover transition throughout and well beyond the nominal horizontal dispersion angle.


Photo #1: EAW 761 LF sans Grill for Easy Viewing

KF760 & KF761 LOW FREQUENCIES

For increased efficiency, both the KF760 and KF761 have the same LF section that uses EAW’s bent horn technology developed for the KF940 subwoofer. (see Photo #1)

The mouths of the LF horns are vertical rectangular slots on each side of the enclosure front. When arrayed this creates two continuous vertical slots on either side of the front of the array.

The outputs from these slots add coherently to extend the LF response. This is readily evidenced by the fact that the ­3dB down point for a single enclosure is at 80Hz, for a four enclosure array (the minimum required) it is at 60Hz, and for an eight enclosure array (a typical array size) it is just above 40Hz. Within the nominal dispersion angle in the horizontal plane, the left/right spacing of the LF slots in comparison to the wavelengths reproduced allows nearly coherent addition.

Given the typical length of most KF760 arrays, the curvature of the array also contributes significantly to the pattern control at low frequencies. This prevents excessive LF buildup near to and almost under the array, while focusing more energy to the longer throws.

Compared to traditional systems, this helps maintain the frequency response over varying distance to very low frequencies. Again, this is achieved with the physical design of the loudspeakers rather than complex signal processing.

KF760 & KF761 SIGNAL PROCESSING


The signal processing, specifically parametric equalization and crossover settings, for the KF760 Series has been carefully engineered by EAW. The signal processing serves three primary functions: crossover filtering, transducer equalization, and transducer signal alignment.

The factory preset signal processing either does not change or requires only minor changes with variations in the size of an array and its configuration. In other words changing a KF760 array’s coverage and output levels is not done with the signal processing but by changing the number of enclosures and the array curvature. Standard 1/3rd octave equalization, rather than changing the signal processing, is the recommended way to provide “house tuning”.

A full KF760 Series array would typically use eight channels of signal processing. One 3-way output for the KF760s, one three-way output for the KF761s, one output for the HF transducers for any flat-fronted KF760s (for long throw air loss compensation) and one output for subwoofers.

Crossovers
Beyond normal band-stop functions, the crossover settings for the KF760 and KF761 are carefully engineered to provide proper control of the dispersion, frequency response, and overall output through the crossover regions. The precise crossover settings are dependent on the physical spacing of the transducers, the dispersion characteristics of the horns, and the output capabilities of the transducers.

For example, in the KF760, signal delay is used to align the HF and MF wavefronts to provide coherent addition through the crossover point. However, near the crossover region, the HF horn lacks sufficient size to provide horizontal pattern control. The crossover filter parameters chosen actually extend the pattern control of the MF up into the HF passband.

Because of the intimate effect of the crossover on the array performance, any change in the crossover settings will adversely affect the dispersion, frequency response, and output through the crossover region.

Subwoofers
While a full KF760 Series array has substantial output down to 40Hz, subwoofers are normally used for popular music reinforcement. Subwoofer choice can be based on any of various criteria ranging from truck pack to sonic requirements. However, a natural complement to a KF760 Series array is EAW’s KF940 subwoofer. The LF sections of the KF760 and KF76 have similar output to size ratios to and draw part of their acoustic design from the KF940.

SUMMARY

The KF760 and KF761 use unique acoustical design elements within each enclosure to:

1.) Operate as individual sources, or as one larger sound source, depending on the frequency range.
2.) Provide acoustical integration between different models KF760 and KF761.
3.) Provide the ability to change the primary variables of vertical dispersion and throw distance without depending on signal processing.
4.) Provide scalability, so that frequency response, horizontal dispersion, and output over distance remain consistent regardless of the array size.

 

September/Ocrober 2001 Live Sound International

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