- #1

- 5

- 0

**I need your help, urgent!**

Dear all,

Now I got a problem in Electromagnetic class but unfortunately, I have had no solutions for this. I would like to have your help!

Many thanks in advanced.

A uniform plane wave in free space is incident at angle θ on a flat dielectric ε, where ε >ε

_{o}. The planar boundary of the dielectric lies at z=0 and z is normal to the surface, pointing into space. The electric field vector of the incident wave may be expressed as

E

_{i}= E

_{0}(xcosθ + y+ zsinθ)e

^{-jkxx + jkzz}

Where E

_{0}is a real constant.

(a) Show that this incident electric field satisfies Gauss’s Law.

(b) Decompose the incident electric field into its TE and TM components.

(c) What is the polarization of the incident wave?

(d) Determine the expression for the reflected electric field in term of R

^{TE}and R

^{TM}.

(e) For incident angles less than the critical angle θ

_{c}, what are the polarizations of the reflected and transmitted waves?

(f) If ε = 6ε

_{0}, for what angle θ is the reflected wave circularly polarized?