You want to apply an anti-reflective coating to glass that has an index of refraction of 1.52. If the thickness of the film should be 100 nanometers, what should the index of refraction of the film be to ensure that no light at 550 nanometers is reflected at normal incidence. Note: you need to consider both the case where the film has an index of refraction smaller than the glass and the case where the film's index is larger than the glass. Which anti-reflective coating is more realistic?