Real-time acoustic metamaterial simulator with physics-informed neural surrogates. Compute band structures via Plane Wave Expansion on square and hexagonal lattices, analyze Lamb wave plate dispersion, explore SSH topological edge states, and estimate transmission loss — all computed client-side in your browser.
Exact solution of the Rayleigh-Lamb frequency equation for the selected host material plate. Shows symmetric (S0, S1) and antisymmetric (A0, A1) Lamb modes — essential for plate-based metamaterial design.
L = LMSE + λsym·Lsymmetry + λord·Lordering + λsm·Lsmoothness
Multi-component loss enforces band symmetry ω(k) ≈ ω(-k), monotonic ordering ωn+1 ≥ ωn, and smoothness between adjacent k-points.
Input(8) → Embed(256) → 4×ResBlock(256) → Output(n_k × n_bands)
Skip connections and layer normalization enable training on the non-convex physics-informed loss landscape.
E(k) = ±√(t&sub1;² + t&sub2;² + 2t&sub1;t&sub2;cos(ka))
Zak phase γ = π when t&sub2;/t&sub1; > 1 (topological phase), enabling robust edge states protected by chiral symmetry.