Inverted QR Slat Diffuser for Acoustic Homogeneity
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing sound diffuser designs, such as those using uniform or irregularly spaced slats of equal height based on number theory sequences, fail to achieve optimal diffusion and absorption across a wide range of frequencies and do not provide a clear methodology for determining resonant frequencies, limiting their effectiveness in architectural spaces.
Innovation Solution
The design incorporates regularly spaced slats with heights determined by an inverted quadratic residue sequence, varying widths based on number theory sequences like the Bernesconi or primitive root sequences, and curvilinear surfaces, along with a porous absorbing material to enhance diffusion and absorption, optimizing the slat resonator neck lengths and rear cavity depth to achieve improved frequency response.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If regularly spaced slats of uniform height are used, then the device structure is simple and easy to manufacture, but the diffusion coefficient is low (at most 0.2)
Solution Approach 1:
The patent applies parameter changes by varying the heights of regularly spaced slats according to an inverted quadratic residue sequence, while maintaining uniform spacing and equal cross-sectional widths. This transforms the uniform height parameter into a varied height parameter, achieving a diffusion coefficient of almost 0.7 while preserving the simplicity of regular spacing and ease of manufacture.
Solution Approach 2:
The patent introduces asymmetry through the inverted quadratic residue sequence that determines slat heights. Instead of uniform or symmetric height variations, the inverted sequence creates asymmetric height patterns that optimize diffusion performance, converting focusing concave areas into beneficial diffusing convex areas.
2Measurement precision
If irregularly arranged slats based on optimal sequences are used, then diffusion is improved (coefficient up to 0.5), but the device complexity increases and aesthetic symmetry is lost
Solution Approach 1:
The patent applies inversion by using an inverted quadratic residue sequence instead of the conventional direct sequence. This inversion transforms the slat height pattern, converting focusing concave areas into beneficial diffusing convex areas, while maintaining regular spacing and aesthetic symmetry, achieving a diffusion coefficient of almost 0.7.
3Measurement precision
If slat heights are varied to improve dispersion, then the diffusion coefficient increases (up to 0.7), but the resonant frequency control becomes complex and bandwidth optimization is difficult
Solution Approach 1:
The patent applies parameter changes by systematically varying slat heights according to the inverted quadratic residue sequence and optimizing the resonator neck lengths and rear cavity depth. This provides a clear methodology for determining resonant frequencies and optimizing bandwidth, achieving both high diffusion coefficient (almost 0.7) and improved frequency response.
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
This approach significantly increases the diffusion coefficient, providing improved sound dispersion and absorption across a broader frequency range, with aesthetically pleasing designs that can be tailored for specific architectural applications.
Implementation Method 1
At the base of the slats, a porous absorbing material is also provided, which adds resistance to the slat resonator formed by the channels between the slats.
Implementation Method 2
The present invention teaches the theory to determine the resonant frequencies of the plurality of slat resonators
Data Source
AI summary
The present invention contemplates regularly spaced or variable width slats having equal width, but with heights determined by an inverted QR sequence, which converts focusing concave areas into beneficial, diffusing convex areas for improved diffusion, especially in the near field. The inverse sequence provides longer resonator necks, between adjacent slats, needed to provide a lower average resonant frequency. Slats are uniformly spaced with inverted QR slat heights have widths determined by the ground states of a Bernesconi sequence. Uniformly spaced, inverted QR slat heights have widths determined by the same QR sequence used to determine heights. Alternatively, uniformly spaced, inverted QR slat heights have widths determined by a Prime 7, primitive root sequence. The uniformly spaced slats have curvilinear forward facing surfaces with their heights based on either a regular or inverted QR sequence, as well as a primitive root or other number theory or optimized sequence.