An optical laboratory wishes to reduce reflections from the surface of a glass lens…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

An optical laboratory wishes to reduce reflections from the surface of a glass lens (ng=1.52)(n_{g}=1.52) by applying a single, non-absorbing magnesium fluoride coating (nc=1.38)(n_{c}=1.38). The coating is to minimize reflections for light of wavelength 550 nm550\,\text{nm} in air. Assume normal incidence. (a) Calculate the wavelength of this light within the magnesium fluoride coating. (b) Determine the smallest non-zero coating thickness that will strongly suppress reflections at the design wavelength. Show all reasoning and include appropriate units. (c) Briefly state one advantage and one limitation of relying on a single-layer coating optimized for a single wavelength when the lens will be used with white light.

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