Chapter 7, Problem 10P

For a wave characterized by the electric field

     $E\left(z,t\right)=\hat{x}{a}_x\cos \left(\omega t-kz\right)+\hat{y}{a}_y\cos \left(\omega t-kz+\delta \right)$

identify the polarization state, determine the polarization angles (γ, χ), and sketch the locus of E (0, t) for each of the following cases:

1. (a) a_x = 3 V/m, a_y = 4 V/m, and δ = 0
2. (b) a_x = 3 V/m, a_y = 4 V/m, and δ = 180°
3. (c) a_x = 3 V/m, a_y = 3 V/m, and δ = 45°
4. (d) a_x = 3 V/m, a_y = 4 V/m, and δ = –135°