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## Homework Statement

A Fabry-Perot interferometer consists of two parallel half-silvered mirrors separated by a small distance

*a*. Show that when light is incident on the interferometer with an angle of incidence [tex]\theta[/tex], the transmitted light will have maximum intensity when [tex]a = (\frac{m \cdot \lambda}{2})cos(\theta) [/tex]

## Homework Equations

[tex]d \cdot sin(\theta) = m \cdot \lambda[/tex]

## The Attempt at a Solution

I tried relating the distance

*a*with

*d*by creating a right triangle from the reflected rays.

That method didn't work, and my answer was the same as the one that I was trying to prove, but divided by (sin([tex]\theta[/tex]))^2. I need a new way to do this.

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