In the Figure below, a circular laser beam of diameter d traveling horizontally to the right is incident on a prism with a refractive index n and an apex angle a. The prism is making an angle (3 with the vertical. 3. b. After the beam exits the prism, what would be its diameter d'? (3 points) If d = 1 mm, Ct = 30 degrees, refractive index of the prism is 1.5 (surrounding medium is air with refractive index m 1), plot the magnification ofthe beam, m = did as (3 is varied from 40 degrees to 40 degrees (clockwise is positive]. (2 marks] At what value of (3, is the magnification m = 2? (1 mark) Using the principle of reversibility of light, explain how should you place the prism such that the magnification is m = 1A? (1 marks] A second identical prism is placed next to the first prism at an angle 1/ as shown in figure 2. If a = 30 .3 = 34.6,]! = 1.8" (clockwise is positive) and refractive indexn = 1.75, what is the angle of the final beam with respect to the initial beam (6)? Argue how this two-prism configuration can be used to convert an elliptical laser beam into a circular beam. [Many lasers such as external cavity diode lasers or ECDLs produce elliptical beams. It is often desirable to convert the elliptical beam to a circular beam for many reasons, such as to efficiently couple the light into an optical fiber.] (3 marks) What is the diameter of the final beam in the two-prism configuration (extra question, not marked) Vertical line