(a) The electric field of an electromagnetic wave propagating in free space is described by the equation E(z, t) = Eo[êsin(kz – wt) + ŷcos(kz – wt)] where ^x and ^y are unit vectors in the x- and y-direction, respectively. What is this wave’s direction of propagation? What is the polarization of the wave?

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(a) The electric field of an electromagnetic wave propagating in free space is described by the
equation
E(z, t) = Eo[Êsin(kz – wt) + ŷcos(kz – wt)]
where x and y are unit vectors in the x- and y-direction, respectively. What is this wave's
direction of propagation? What is the polarization of the wave?
(b) State and prove the boundary conditions satisfied by the magnetic intensity H and the magnetic
field B at the boundary between two media with different magnetic properties.
(c) Show that
tan 01
tan 02
where 0, and 0 , are incident and refraction angles.
Transcribed Image Text:(a) The electric field of an electromagnetic wave propagating in free space is described by the equation E(z, t) = Eo[Êsin(kz – wt) + ŷcos(kz – wt)] where x and y are unit vectors in the x- and y-direction, respectively. What is this wave's direction of propagation? What is the polarization of the wave? (b) State and prove the boundary conditions satisfied by the magnetic intensity H and the magnetic field B at the boundary between two media with different magnetic properties. (c) Show that tan 01 tan 02 where 0, and 0 , are incident and refraction angles.
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