A manufacturer wishes to fabricate a single-layer antireflection coating for a glass window (nglass=1.50) that will suppress reflected orange light of wavelength λ0=600nm in air when the light arrives at 40∘ to the normal in air. The coating material has index nc=1.30 and is surrounded by air.
(a) Derive the optical path-difference expression for the two reflected rays.
(b) Determine the phase shifts at the two reflections and state the net half-wave factor.
(c) Calculate the least physical thickness that eliminates reflection of λ0=600nm light at 40∘ incidence.