2. In linear and circular polarization, consider monochromatic plane waves with frequency w propagating along the z axis in a dielectric characterized by permeabilities &, µ. a) Construct all linearly polarized wave and circular polarized wave solutions. Calculate E and B, given that Ex = Bx = 240 b) Consider two linearly polarized waves with E ||x and E ||y, respectively. Under what conditions their superposition is characterized by (i)linear and (ii) circular polarization? Given that Ex = 240

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Electromagnetic Plane Waves: In infrared optical systems germanium is often used to form optical components. For infrared wavelengths, germanium can be considered lossless, non-magnetic (u- 1) and has a relative dielectric constant e 16. Consider a plane wave inside a piece of germanium incident at the interface between germanium and air. The plane wave is polarized parallel to the plane of incidence and the angle of incidence is halfway between the Brewster angle and the critical angle for total internal reflection. Germanium: Air: H1 = Ho i E1 = 16e, H2 = Ho i €2 = €o %3. Be A, a) What is the angle of incidence? b) What are the reflection and transmission coefficients for the wave at this angle of incidence?