Plane-wave laboratory

Lattice Bench

t 0.00

Re{E} = Σ An cos(kn·r − ωt)

ψ = Σ An cos(kn·r − ωt + φn)

Re{E} is phase-locked at φₙ = 0. Only ψ carries the phases, so the plates diverge when any φₙ is nonzero.

Real field

viridis
2π0−2π
−2π02π
-2.2502.25

Scalar lattice

coolwarm
2π0−2π
−2π02π
-2.2502.25

Tap either plate to move the probe. Guides draw kₙ from the origin. The window is dimensionless, from −2π to 2π.

time t
0.00
period T
6.28
⟨E²⟩
0.914
⟨ψ²⟩
0.910
Re{E} at probe
2.25
x 0.00 y 0.00
ψ at probe
2.11
same point
Re{E}ψ

Cut along x

y = 0.00
−2πx2π

Cut along y

x = 0.00
−2πy2π

Mean square

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