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

Question

You want to design an antireflection coating for a lens. You want this coating to work well at two wavelengths, 1 = 470 nm and 2 = 600 nm, which you accomplish using two separate layers. One layer uses MgF2 (n = 1.38) and is designed to remove the reflections at wavelength 1. The second coating is composed of a material with n = 1.50 and is designed to remove the reflections at 2. If the MgF2 coating is deposited on a lens whose index of refraction is n = 1.61 and the other coating sits on top of the MgF2, what is the thickness of each layer? (Give the smallest thicknesses possible.)

Explanation / Answer

a)

thickness of other material

2x1.5xt = 1x600

t = 200nm

b)

for MgF2

2x1.38xt = 470

t = 170.28nm

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