Elastic Wave — 2D Phononic Crystal Band Gap
Bragg scattering gaps: periodic inclusions block elastic wave propagation
Crystal Parameters
Lattice constant a (m):
0.05
Inclusion radius r/a:
0.40
Speed contrast c₂/c₁:
0.30
Source frequency f (kHz):
40
Lattice type:
Square lattice
Hexagonal lattice
Reset Wave
Pause
Bragg condition: 2d·sinθ = nλ
First gap: ω ≈ πc/a
Filling fraction: f = π(r/a)²
Gap width ∝ contrast·f
Evanescent waves in gap
Mie resonance gaps also possible
In bandgap:
—
λ/a ratio:
—
Gap center:
—
Transmission:
—