Optimizing Thin Film Coatings for Minimum Reflection: A Practical Guide

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Homework Statement



Optical lenses (n=1.40) in cameras are coated with a thin film of magnesium fluoride (n=1.38) to reduce reflections. What minimum thickness is required to give minimum reflection at a wavelength of 550 nm?

Homework Equations



2nt = (lamda)/2

The Attempt at a Solution



I assume the relevant equation is what I'm supposed to use. so t=(lamda)/(4n)
Therefore, the thickness of the film, t=550/(4*1.38)=99.6 nm

I wasn't given the answer, so I'm not sure if this is correct. I wasn't sure what if the index of refraction of the camera was irrelevant information.
 
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I think they would rarely give irrelevant information in most coursework/homework questions, generally only happens if your lecturer wants to see you suffer)))