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Acoustic Diffuser 2D: Quadratic-Residue Wave Scattering

A 2D quadratic-residue diffuser (QRD): well depths follow the real n² mod N sequence, an incident plane wavefront scatters through Huygens phase summation across every well mouth, and a live diffusion-vs-frequency curve shows the panel's designed working bandwidth.

Room Acoustics & Architectural Sound2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

This 2D companion strips the rotatable 3D panel down to a flat cross-section so the physics reads directly: real quadratic-residue well depths (n² mod N), an animated incident plane wavefront, a live Huygens-summation polar scattering pattern, and a diffusion-vs-frequency curve that shows exactly where — and why — this diffuser's designed bandwidth begins and ends. Change the well count or max depth and watch the shaded working band on the response curve move with it.

⚙ Under the hood

2D quadratic-residue diffuser: well depths follow the real n² mod N sequence, a plane wavefront scatters via Huygens phase summation across every well mouth, and a live diffusion-vs-frequency curve reveals the panel's designed working bandwidth.

Canvas 2DAcousticsQRD DiffuserHuygens PrincipleRoom Acoustics

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install