A uniform plane electromagnetic wave propagates through air. The electric field phasor associated with this wave is give

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A Uniform Plane Electromagnetic Wave Propagates Through Air The Electric Field Phasor Associated With This Wave Is Give 1 (406.34 KiB) Viewed 12 times

A uniform plane electromagnetic wave propagates through air. The electric field phasor associated with this wave is given by: Ēi(x,z) = 5ỹe- jn(x+2) V/m This wave is incident on a nonmagnetic dielectric with a relative permittivity of 2, as shown below. incident wave air E,= 1 z = 0 у dielectric E, = 2 Consider the following questions. You must show your work for full credit. (a) (3 pts.) Find the value of the incident angle, 0;. (b) (3 pts.) Find the frequency of the electromagnetic wave. (c) (9 pts.) Find the electric field phasor, Ēr(x,z), associated with the electromagnetic wave reflected from the dielectric surface. You are now told that the polarization of the incident electromagnetic wave changes. The electric field phasor associated with the incident wave is now given by: Ēi(x,z) = (2jî + 5ỹ – 2jî)e-ji(x+z) V/m Additionally, you are told that the reflection coefficient from this dielectric surface for parallel- polarized (TM) waves is given by: r = -0.072. (d) (4 pts.) Find the electric field phasor, Ēr2(x,2), associated with the reflection of this new electromagnetic wave from the dielectric surface. (e) (1.5 pt.) What is the polarization state of the reflected wave? Explain your answer.