Prisms

 

Porro Prism

 

 

 

 

Porro Prism system takes an image an reverses it.  In the case of binoculars, since the image created by the objective lens is in reverse, the Porro prism system will reverted and have the same orientation as the original object seen by the observer without a binocular.

 

Roof Prism
 

 

 

The Roof Prism (Amici Prism) is a right-angle prism that generally has a 90 degree roof on the face opposite of the right angle.  The prism will invert the image left to right, and if form in a similar system as the Porro prism system, it will also invert the image upside down, so doing exactly what Porro prism would do that is orienting it look similar to the original object seen by observer without a binocular

 

Total Internal Reflection

Prisms naturally have total internal reflection as in Figure 3 is the angle at which it hits the surface is greater than the critical angle.  The Critical angle is found by using Snell's law, which is i = arcsin(sin(r/n)) where i is the incidence angle, and r is the refraction angle and n is the index of refraction for crown glass which is 1.52 (Note: the index of refraction outside the prism is 1 since its air).  So at the critical angle our r = 90 degrees therefore i roughly equals to 41.14 degrees.  But since the i at which the ray hits the surface is 45 degrees therefore it is greater than 41.14, therefore it has total internal reflection.

 

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