Thin film interference formulae

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khaos89
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Hello, I am trying to understand thin film (in air) interference but I have a problem:

I know we have destructive interference when [itex]\delta=(2m+1)\pi[/itex].

Now i can try to calculate the thickness of the film to get it, so

since [itex]\delta =\frac{4nt\pi}{\lambda} - \pi[/itex] where t is the thickness,

I come to [itex]\delta=(2m+1)\pi=\frac{4nt\pi}{\lambda} - \pi[/itex]

that leads me to [itex]t=\frac{\lambda(m+1)}{2n}[/itex] instead of
[itex]t=\frac{m\lambda}{2n}[/itex]

(n is the refractive index and m is the integer parameter)

Where am I wrong?
 
on Phys.org
Thank you for your answer, I think I am wrong because my book's solution is [itex]t=\frac{m\lambda}{2n}[/itex]
 
khaos89 said:
Thank you for your answer, I think I am wrong because my book's solution is [itex]t=\frac{m\lambda}{2n}[/itex]
The answers are essentially equivalent. (You can always start with m = -1 in your version.)