1. Draw Ex and Ey, and combine them to identify the polarization of the light.Then, find the corresponding Jones Vector. \text { (1) } E_{x}=\left|E_{0}\right| e^{i(k z-w t)} E_{y}=\left|E_{0}\right| e^{i(h z-w t)} \text { (2) } E_{x}=\left|E_{0}\right| e^{i(k z-w t)} E_{y}=\left|E_{0}\right| e^{i(k z-w t+\pi / 2)} \text { (3) } E_{x}=E_{0} e^{i(k z-w t)} E_{y}=E_{0} e^{i(h z-w t-\pi / 2)} \text { (4) } E_{x}=E_{0} e^{i(k z-w t)} E_{y}=E_{0} e^{i(k z-w t+\pi)} \text { (5) } \quad E_{x}=E_{0} e^{i(k z-w t)} E_{y}=E_{0} e^{i(k z-w t-\pi)} \text { (6) } E_{x}=E_{0} e^{i(k z-w t)} E_{y}=E_{0} e^{i(k z-w t+2 \pi)} 2. Identify polarization of the light., and find Jones vector. \vec{E}=E_{0}\left(\imath+f b e^{i \varphi}\right) e^{i(k z-w t)}, \text { here } (1) b = 1, p = 0

3. When going fishing, what kind of sunglasses will be good for finding fishes in water? Why?

4. Discuss the advantage and disadvantage of nanowire grid polarizers. 5. An optical compensation film has the refractive index ellipsoid with nx = ny = 1.5, nz = 1.6, where nx and ny are the two optic axes within the film plane and nz is the axis normal to the film plane.

(1) When a light passes the film from normal direction (that is, the incident angle, 0 = 0 °), what are the refractive indices along two optic axes (or two eigen axes)?

(2) When 0 = 30°, find the two refractive indices along the two optic axes.