Two Requirements for Total Internal Reflection
Total internal reflection (TIR) is the phenomenon that involves the reflection of all the incident light off the boundary. TIR only takes place when both of the following two conditions are met:
1. the light is in the more dense medium and approaching the less dense medium.
2. the angle of incidence is greater than the so-called critical angle.
Examples:
Right-Angle Prism
The prism is used like a mirror. If the refractive index of the prism is large enough, we obtain Total Internal Reflection (TIR) and the prism acts like a mirror of 100% reflectance.
How large must the refractive index be?
We want the critical angle θc to be smaller than 45 degrees. Since for a glass prism in air sinθc = 1/n, we need n > 1/sin(45o) or n > √2 = 1.414.
Dove Prism
This prism is used to "flip" an image without reorienting the optical axis.
Penta Prism
Like the Right-Angle Prism, this prism reorients the optical axis by 90°. However, the Penta Prism does not flip the image. Penta Prisms are used in 35-mm Single-Lens-Reflex (SLR) cameras to produce an upright image in the viewfinder.
Good Luck.........................................................................