Maxwell plane wave

\[\operatorname{Re}\{E(x,t)\}=E_0\cos(\omega t-kx),\qquad \omega^2=c^2k^2\]

Time 0.000 ns

\(\omega\)+15.08 rad/ns

\(k\)+50.30 rad/m

Lock \(|k|=|\omega|/c\) Propagation: +x

Space–time field

Figure 6.6

Position, \(x\) (cm) Time, \(t\) (ns) 0.000 ns

−10+1 V/m

t = 0.000 ns

Electric field, \(E\) (V/m) Position, \(x\) (cm)

\(E(x,t)=E_0\cos(\omega t-kx)\)f = 2.40 GHz · λ = 12.49 cm