A sheet having an index of refraction of 1.40 is to be coated with a film of material having an index of refraction of 1.55 in order that green light with a wavelength of 525 nanometer (in air) will be preferentially transmitted via constructive interference.
(a) Determine the minimum thickness of the film that will achieve the result?
(b) Why are other parts of the visible spectrum not also preferentially transmitted?
(c) Will the transmission of any colors be sharply reduced?