Two-frequency 3D transverse-wave interference
Particles respond to ξ = ξ₁ + ξ₂, so constructive interference, destructive interference, and beats arise from linear superposition.
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Orange:
wavevector k
Green:
total displacement ξ₁ + ξ₂
Purple plane:
plane perpendicular to k
Blue:
medium particles
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Wavevector
kₓ
1.00
kᵧ
0.60
k_z
0.80
Wave 1
Frequency f₁
1.00
Amplitude A₁
0.45
Wave 2
Frequency f₂
1.20
Amplitude A₂
0.45
Relative phase φ₂
0°
Particle density
Very high
Polarization
Linear
Circular
Elliptical
Show transverse plane
k = (1.00, 0.60, 0.80)
Δf = 0.20
beat period = 5.00
ξ · k = 0.000000
particles: —
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