The electric field vector of an elliptically polarized plane wave, propagating in free space, can be expressed as

(a) Show that the associated magnetic induction vector is

(b) Show that the time average of the energy density in this wave is

where

(c) Show that the time-averaged energy flow < S > is equal to the phase velocity (ω/k =c) times the average energy density of the wave, that is,

where ê₃ denotes a unit vector in the direction of E × H.

Transcribed Image Text:

E = [ê₁ El exp (ia₁) +ê₂E2 exp (ia2)] exp (ik ri - iwt)