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toothpaste666
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Homework Statement
A highly reflective mirror can be made for a particular wavelength at normal incidence by using two thin layers of transparent materials of indices of refraction n1 and n2 (1 < n1<n2 ) on the surface of the glass ( n>n2 ).(Figure 1)
A)What should be the minimum thicknesses d1 in the figure in terms of the incident wavelength λ, to maximize reflection?Express your answer in terms of the variables n1, n2, and λ.
B)
What should be the minimum thickness d2 in the figure in terms of the incident wavelength λ, to maximize reflection?
Express your answer in terms of the variables n1, n2, and λ.
Homework Equations
2t = (lamda n)
(lamda n) = lamda/n
The Attempt at a Solution
they want us to maximize reflection so that means they want constructive interference so we use
[itex] 2d_1 = (lambda_n) = lamda/n_1 [/itex]
[itex] d_1= lambda / 2n_1 [/itex]
i put this as my answer for part a but it was wrong. I am guessing I need to include [itex] n_2 [/itex]
in my equation but i am not quite sure how to relate them. can someone point me in the right direction?