You want to design an antireflection coating for a lens. You want this coating to work well

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You want to design an antireflection coating for a lens. You want this coating to work well at two wavelengths, λ1 = 450 nm and λ2 = 650 nm, which you accomplish using two separate layers. One layer uses MgF2 (n = 1.38) and is designed to remove the reflections at wavelength λ1. The second coating is composed of a material with n 1.55 and is designed to remove the reflections at l2. If the MgF2 coating is deposited on a lens whose index of refraction is n 1.60 and the other coating sits on top of the MgF2, what is the thickness of each layer?

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