2. Plastic optical fiber (POF) is a low-cost alternative to standard fiber optic cable. The core is made of either Poly(methyl methacrylate) or Polystyrene and the cladding is usually made of silicone resin. Typically POFs have a large core size, making them easy and cheap to connectorize and couple to laser diodes but they have a low bandwidth-distance product and high attenuation. a. The refractive indices of Polystyrene and silicon resin are about 1.59 and 1.46, respectively. Find the critical angle and numerical aperture of a POF made with these materials. How do these values compare with conventional fiber? b. Search the web and find typical values for the bandwidth-distance product and attenuation of step index plastic optical fiber. How do they compare with typical values for standard multimode fiber? c. Search the web and find a typical cost for 100 ft. of plastic optical fiber and compare it to the cost of conventional fiber. (If you get a cost for connectorized fiber, indicate what kind of connector you picked.)