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?

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?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter36: Applications Of The Wave Model

Section: Chapter Questions

Problem 15PQ

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

(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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