Question

Find the intensity of reflected and transmitted waves through an interface between two linear non-conducting media in terms of the intensity of the incident wave and the indices of refraction of the two media.

Note: To do this, suppose a plane wave of frequency ω and electric field polarization in the x direction is traveling in the positive z direction. The wave approaches the interface between two media on the xy plane from left. Write complex waves equations for the the incident, reflected and transmitted waves. Considering the electrostatic boundary conditions, you can find the relationship between amplitudes of the waves and then you can calculate the intensity of the waves.

Answer 1

DATE: _L PAGE: XBT Bl® complex wave equations - i B7(2,t) = 1 Eo, el - il-K, -wt) Eu ei lk, z-wt) i . ilk, 2-wt EI (2 t) = Ee (2, t)= For el l-K, 2 - wwt) 2 ; Be (2 t) + Exciter | E, (2, 4) = Eage (Ke 2-wt â ; Br(2, 4) = 1 Es ellerý Considering boundary conditions : il R₂2-wt) " Mi = M₂ T = Fot- FOR = Eox xx wre ez U2 M2h " ta L o = 11 Eoin I Ex = 1 1 Est. M₂ Uz T - Eot FoR = Eorxx - @ where x = 1,0 = M, H2 = 12 lsing ② & ④ - Mzu i For=1- & Eoi & Ep = /2 Ei 1+ Tintensity = I= I EV E² putting value of different to be get and putting the value of a and I II 4n² 12 / E2 U2 tu, nithe so I un, na II I hitha) Ez U2 = n2 10