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Overhead canopies are used in auditoriums to blend the direct and early reflected sound, increasing speech intelligibility and enhancing musical clarity and intimacy. Traditionally, non-optimized, periodic flat panels and arcs have been used. These arrays can give rise to non-uniform coverage, due to array gaps, non-optimal shaping and periodicity effects. RPG has developed an optimization algorithm called the Shape Optimizer, to provide optimal shaping and tilting offering omnidirectional scattering. RPG’s patented Aperiodic Modulation of a Single Asymmetric Base Shape minimizes periodicity arraying effects and provides uniform coverage. Aperiodic modulation of a single asymmetric base shape allows infinite, seamless tiling and unlimited shapes are possible with different tiling patterns. The Waveform Bicubic represents the next generation in acoustical canopy design. No other system provides the aesthetic and performance benefits in a painted, Class A, glass reinforced gypsum system. Problem When multiple spaced canopy panels are used in an array, the scattering response or coverage is the combination of the response of a single panel and the periodic arrangement. Periodicity results in scattering in preferred directions, which depend on the array configuration. The sound level in these preferred diffraction directions depends on the uniform scattering capability of each individual panel. As a result, coverage is often compromised unless optimization is utilized. Solution To solve this problem, RPG developed the first Shape Optimization program, which automatically determines the best shape and array of curve optimized surfaces to insure uniform coverage. The Shape Optimizer combines the power of the boundary element and multi-dimensional optimization techniques, incorporating the diffusion coefficient as the metric of optimal performance. The aperiodically mounted Waveform Bicubic shapes can provide optimal ensemble for musicians on stage and uniform coverage in the audience. Diffusion
The random incidence acoustical data illustrates how the Waveform Bicubic G provides useful sound diffusion
in the lower midrange through the higher frequency range. The chart displays the random incidence diffusion coefficient,
as determined according to AES-4id-2001 from the autocorrelation of the 1/3 octave polar responses for incidence angles of 0, +/-30 and +/-60
degrees, the correlation scattering coefficient for computer modeling calculations and the A-mount absorption coefficient for reference.
Modulation
RPG’s patented Aperiodic Modulation of a Single Asymmetric Base Shape allows the
creation of wide area coverage seamlessly with a single asymmetric base shape, thus minimizing
periodicity effect. This is possible, because the asymmetric central shape (top), morphs to identical sides,
which have a zero gradient allowing adjacent tiles to seamless
transition without discontinuity in any orientation (middle) forming a larger aperiodic array
(bottom 4x4 array). Thus with an optimized aperiodic array, canopy performance can finally be
mathematically determined and evaluated. The performance of the aperiodic array can be improved beyond that of a single acoustically optimized canopy elements.
Installation For ceiling suspension, an embedded stainless steel cleat is provided to capture a wire cable. For wall mounting, a wooden cleat is provided. Units may be custom configured for downlighting, contact RPG or your local representative for more information.
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The
First Curve Optimized Two Dimensional Bicubic Sound Diffuser From
The Acoustical Industrys Leading Innovator ![]()
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