Hexagonal 2D Reflection Phase Grating Diffuser for Tri-Axial Acoustic Symmetry
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Solution Overview
Problem
Existing sound diffusers, particularly those based on rectangular grids, are inadequate for achieving optimal sound diffusion in architectural structures like control rooms and geodesic domes, as they fail to effectively scatter sound into a hemisphere and can lead to comb filtering and poor acoustics.
Innovation Solution
A hexagonal 2-dimensional reflection phase grating diffuser is developed, utilizing a number theoretic design with hexagonal wells, which provides superior sound diffusion by scattering energy into a hemisphere, aligning with the tri-axial symmetry of these structures, and can be integrated into ceiling and wall treatments.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If rectilinear diffusers are used in control rooms with 120-degree angles, then manufacturing and installation are simplified, but sound diffusion performance deteriorates due to mismatch with tri-axial symmetry
Solution Approach 1:
The patent applies asymmetry by transitioning from rectilinear (bi-axial) diffuser designs to hexagonal (tri-axial) diffuser geometries. The hexagonal shape with 120-degree rotational symmetry matches the tri-axial symmetry of control room layouts, creating better alignment between the diffuser geometry and the room's acoustic symmetry axes. This geometric transformation resolves the contradiction by sacrificing the manufacturing simplicity of rectilinear shapes while gaining superior acoustic performance through symmetry matching.
2Device complexity
If single plane diffusers are used, then device complexity is reduced, but sound scattering coverage is limited to hemi-disc only
Solution Approach 1:
The patent implements dimensionality change by evolving from single-plane (1D) diffusers to two-plane (2D) hexagonal diffusers. The hexagonal configuration with wells arranged in two orthogonal directions creates scattering lobes in multiple directions simultaneously, expanding coverage from a hemi-disc to a fuller hemisphere. This dimensional expansion resolves the contradiction by increasing device complexity slightly while achieving comprehensive hemispherical sound distribution.
3Manufacturing precision
If orthogonal grid designs are used, then manufacturing precision is easier to maintain, but acoustic performance in tri-axial rooms deteriorates
Solution Approach 1:
The patent resolves this contradiction by replacing orthogonal (bi-axial) grid designs with hexagonal (tri-axial) grid arrangements. The hexagonal pattern with its 120-degree rotational symmetry aligns with the tri-axial symmetry of control room geometries, ensuring that sound scattering is evenly distributed across all three acoustic symmetry planes. This geometric transformation prioritizes acoustic performance over manufacturing simplicity, as hexagonal patterns can be manufactured with standard precision while delivering superior tri-axial diffusion.
4Ease of operation
If rectilinear diffusers are deployed in geodesic domes, then installation is simplified, but sound distribution uniformity deteriorates
Solution Approach 1:
The patent applies spheroidality by adopting hexagonal geometries that better conform to the curved surfaces of geodesic domes compared to rectilinear shapes. The hexagonal form with its 120-degree angles and radial symmetry aligns more naturally with the spherical geometry of domes, enabling more uniform sound distribution across the curved surface. This geometric adaptation resolves the contradiction by sacrificing the installation simplicity of rectilinear modules while achieving superior acoustic uniformity through curvature compatibility.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The hexagonal diffuser enhances sound distribution and reduces comb filtering, providing a more balanced and stable sound field, while its aesthetic appeal integrates well with architectural designs, effectively addressing the limitations of rectilinear diffusers in control rooms and improving acoustics in geodesic domes.
Implementation Method 1
2-dimensional reflection phase grating diffuser
Implementation Method 2
phase grating diffuser
Data Source
AI summary
A hexagonal two-dimensional reflection phase grating diffuser includes a plurality of wells that are either part hexagonal or fully hexagonal in cross-section. The depths of the respective wells are determined through calculation of a number theory sequence such as a quadratic residue number theory sequence, a primitive root sequence, or a Chinese remainder theorem. The diffuser may be located within a listening room oriented with openings in the wells facing either downward or horizontally.