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i need to deduce the Fresnel Double Prism equation, which states:

d = 2a(n-1)alpha,

according to the linked image.

Fresnel Double Prism setup

The distance between the constructed virtual objects S' and S'' is here called d. The distance from the light source to the prism is called a, the prism has two sides (common base) defined by the common apex angle alpha, and the refractive index n.

Any help appreciated!!

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# Fresnel Double Prism equation

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