Worksheet: Total Internal Reflection
In this worksheet, we will practice calculating the critical angle for total internal reflection at the interface between two materials with different refractive indices.
Light rays, initially in air, are normally incident on the vertical surface of a glass prism, as shown in the accompanying diagram. The prism has a refractive index of 1.50. The slanted face of the prism is aligned at an angle above the horizontal.
What is the largest value for such that an incident ray is totally reflected at the slanted face?
The prism is immersed in water. Find the largest value for such that the ray is totally reflected at the slanted face. Use a value of 1.333 for the refractive index of water.
Find the critical angle for a light ray propagating in the core of an optical fiber. The ray is incident on the interface between the core and the cladding of the fiber. The core consists of plastic with a refractive index of 1.48 and the cladding consists of plastic with a refractive index of 1.44.