What is the thinnest film that will minimize reflection for lambda = 550 nm, the middle of the visible-light spectrum?

Elise Kelley

Elise Kelley

Answered question

2022-10-29

To keep unwanted light from reflecting from the surface of eyeglasses or other lenses, a thin film of a material with an index of refraction n = 1.38 is coated onto the plastic lens (n = 1.55). What is the thinnest film that will minimize reflection for λ = 550   n m, the middle of the visible-light spectrum?

Answer & Explanation

darkangel5991we

darkangel5991we

Beginner2022-10-30Added 10 answers

The wavelength of the film can be obtained as
λ f i l m = λ a i r n = 550   n m 1.38 = 398.55   n m
Now,
2 t = λ f i l m 2 t = λ f i l m 4
Substituting the values and solving gives
t = 398.55   m m 4 = 99.64   n m

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