', , Incident wave E = o exp(ik - iwt) 0 Z Ot Refracted wave E = E exp(ik-iwt) Reflected wave E" = E exp(ik" iwt) The figure above shows an incident EM wave with the electric field coming out. In the semi-plane z > 0 we have a material with magnetic and electric properties defined by and , while in the semi-plane z < 0 one has a different material with constants and . . a) b) . . Write the boundary conditions for the electric and magnetic fields. Can the reflected and refracted electric fields have opposite direction to the incident electric field? d) e) f) ( Find the relation between 0 and 0. Point out the different relations for E/Eo. Point out the different relations for E/Eo- Find the relations E/Eo and E/Eo when the frequencies of the incident, reflected and refracted waves are different.