Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 31

For a harmonic uniform plane wave propagating in a simple medium, both E and Hvary in accordance with the factor exp (-jk • R ) as indicated in Eq. (8-26). Show that the four Maxwell's equations for uniform plane wave in a source-free region reduce to the following:
k × E = µH,
k × H = - µE,
k • E = 0,
k • H = 0.