Consider a plane electromagnetic wave incident normally on a semi infinite plasma occupying the semi-space x > 0, with vacuum for x < 0, as illustrated in Fig. 29. Denote the incident, reflected, and transmitted waves, respectively, by

(a) Show that the associated magnetic fields are given by

(b) From the continuity of E_y and H_z at the boundary x = 0, show that

(c) Prove that the ratio of the transmitted average power to the incident average power, at the boundary x = 0, is

where k₀ is real and {β = R{k₁}. Show that T = 0 both at a reflection point and a resonance.

Figure 29.

Transcribed Image Text:

E = y exp (ikox - iwt) ErŷEr exp (-ikox - iwt) = Et=yEt exp (ik₁x - iwt)