Sometimes a nonreflective coating is applied to a lens, such as a camera lens. The coating has an index of refraction between the index of air and the index of the lens. The coating cancels the reflections of one particular wavelength of the incident light. Usually, it cancels green-yellow light (λ = 557.0 nm)in the middle of the visible spectrum. (a) Assuming the light is incident perpendicular to the lens surface, what is the minimum thickness of the coating in terms of the wavelength of light in that coating? (Use the following as necessary: λ.) w =     (b) If the coating's index of refraction is 1.35, what should be the minimum thickness of the coating?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 23P: A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence...
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Sometimes a nonreflective coating is applied to a lens, such as a camera lens. The coating has an index of refraction between the index of air and the index of the lens. The coating cancels the reflections of one particular wavelength of the incident light. Usually, it cancels green-yellow light

(λ = 557.0 nm)in the middle of the visible spectrum.
(a) Assuming the light is incident perpendicular to the lens surface, what is the minimum thickness of the coating in terms of the wavelength of light in that coating? (Use the following as necessary: λ.)
w =
 
 
(b) If the coating's index of refraction is 1.35, what should be the minimum thickness of the coating?

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