Question

EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume that this interface is flat and infinite in extent). Both materials have fh -1 and σ :: 0 S/m, where the relative permittivity of air is 1 (Er": 1) and the relative permittivity of pure water is 81 ( = 81). The coordinate system is indicated in the figure above. A uniform plane wave is obliquely incident to the interface, as shown above. The incident electric field E(r, y,t), is given by: B'(z, y, t) = 20 cos [(2 x 109 rad/s) t-ka + kry] a,V/m. a) Find the propagation constant in region 1 (B b) If the angle of incidence is 30, specify the components of the wavenumber (k, and k) in the expression for the incident electric field c) Calculate the reflection coefficient (T). d) Find an expression for the reflected electrie field (E,y,t

Answer 1

with the eayuat on RTC2x 10 = 0.66 x 10 Since the wavevector K-гт-ổ.bm-ı The Lomponents aloin b) 2

I reods lo @+C ab EOT

2-V d ) The exbress ion fpr the JD the direction of te tne)