Optics Question 870

Question: To produce a minimum reflection of wavelengths near the middle of visible spectrum (550 nm), how thick should a coating of MgF2(μ=1.38) coated on a glass surface?

Options:

A) 107

B) 1010

C) 109m

D) 108m

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The optical path difference needed for destructive interference is 2μd=(2n+1)λ2 , n-0, 1, 2, ?..

Note that 2nd is the total optical path length that the rays traverse when n=0.

d=λ/22μ=λ4μ=350×1094×1.38

=100nm=1×107m



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