SH0W Y0UR COMPLETE SOLUTION (wr!te it on a paper)

The complex electric field of a propagating EM wave with wave vector k and angular frequency w is given by E(r, t) = [Alexp(i8,)i + Azexp(182)]]exp[k . 7, -wt] where A1 and A2 are positive real numbers, 8, and $2 are reals. 1. What is the physical (real) electric field as a function of position r and time t? 2. Show that the physical field vector traces an ellipse on the i - } plane (plane of polarization). 3. How should the constants A1,A2,81 and 82 be related to get a circular polarization? 4. What about for linear polarization? Polarization: Direction of the real electric field perpendicular to the propagation vector k