A transparent substrate of index is successively coated with two thin layers: first a…

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

Problem

A transparent substrate of index 1.601.60 is successively coated with two thin layers: first a layer of index 1.301.30 and then a layer of index 1.451.45. Each layer has an optical thickness of λ/4\lambda/4 for a design wavelength λ\lambda at normal incidence (that is, niti=λ/4n_i t_i = \lambda/4 for each layer). Rank, from highest to lowest, the expected reflected intensity at wavelength λ\lambda for the following surfaces: I. Bare substrate II. Substrate with only the n=1.30n = 1.30 layer III. Substrate with both layers as described Provide your ranking in the form highest >⋯>> \dots > lowest and justify it briefly.

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