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Callix

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## Homework Statement

You are designing a thin transparent reflective coating for the front surface of a sheet of glass. The index of refraction of the glass is 1.52 and when it is in use, the coated glass has air on both sides. Because the coating is expensive, you want to use a layer that has the minimum thickness possible, which you determine to be 104nm. What should the index of refraction of the coating be if it must cancel 550nm of light that hits the coated surface at normal incidence?

## Homework Equations

## The Attempt at a Solution

I know that for constructive interference, the equation is [tex]2d=(m+\frac{1}{2})\frac{\lambda}{n}[/tex]

And for destructive,

[tex]2d=m\frac{\lambda}{n}[/tex]

However I'm not sure what to do with these.. or if these are exactly the equations I need to use. But these are the notes that I have for thin film.. Any help would be greatly appreciated!

Thanks in advance

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