E;(x, y) = (ë + Aë, + 3ẽ,)ej4nv3xej4ny a) Draw the unit vector in the direction of the propagation direction of the incident wave on the xy- plane, also specifying the angle of incidence, and show the given parameters (y>0,y<0) for both media on the figure. (Remember that the wave passes into the space y>0 to y<0.) b) Calculate the wavenumber in the first medium. c) Calculate the frequency of the wave.
E;(x, y) = (ë + Aë, + 3ẽ,)ej4nv3xej4ny a) Draw the unit vector in the direction of the propagation direction of the incident wave on the xy- plane, also specifying the angle of incidence, and show the given parameters (y>0,y<0) for both media on the figure. (Remember that the wave passes into the space y>0 to y<0.) b) Calculate the wavenumber in the first medium. c) Calculate the frequency of the wave.
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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,µ2=µ0 with an angle of Oi relative to the
surface normal. The incoming electric field is
given as:
E (x, y)
= (è, + Aẻ, + 3ẻ,)ej47V3xej4ny
a) Draw the unit vector in the direction of the propagation direction of
the incident wave on the xy- plane, also specifying the angle of
incidence, and show the given parameters (y>0,y<0) for both media on
the figure. (Remember that the wave passes into the space y>0 to y<0.)
b) Calculate the wavenumber in the first medium.
c) Calculate the frequency of the wave.
d) Calculate the wavenumber in the second medium.
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