a) Find the angle of incidence (Oi) of the electromagnetic wave. b) Find the angles of reflection and refraction (transmission). c) What should be the value of the coefficient A for the wave to be plane? d) Calculate the magnetic field for the incoming electromagnetic wave.

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A plane wave is sent from space (y>0) with
electrical parameters ɛ1=4ɛ0,µ1=µ0 to a
medium (y <0) with electrical parameters ɛ2=
9ɛ0,u2=µ0 with an angle of Oi relative to the
surface normal. The incoming electric field is
given as:
É;(x, y) = (e + Aẻ, + 3ẻ,)ei4nv3xej4Ty
a) Find the angle of incidence (Oi) of the electromagnetic wave.
b) Find the angles of reflection and refraction (transmission).
c) What should be the value of the coefficient A for the wave to be
plane?
d) Calculate the magnetic field for the incoming electromagnetic wave.
Transcribed Image Text:A plane wave is sent from space (y>0) with electrical parameters ɛ1=4ɛ0,µ1=µ0 to a medium (y <0) with electrical parameters ɛ2= 9ɛ0,u2=µ0 with an angle of Oi relative to the surface normal. The incoming electric field is given as: É;(x, y) = (e + Aẻ, + 3ẻ,)ei4nv3xej4Ty a) Find the angle of incidence (Oi) of the electromagnetic wave. b) Find the angles of reflection and refraction (transmission). c) What should be the value of the coefficient A for the wave to be plane? d) Calculate the magnetic field for the incoming electromagnetic wave.
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