Total Internal Reflection and Prism Example

Aug 24, 2025

Overview

This lecture explains the concept of total internal reflection, focusing on the importance of the critical angle, and demonstrates the process using a prism example.

Understanding Total Internal Reflection

  • Total internal reflection occurs when light moves from a more dense to a less dense medium (e.g., glass to air).
  • The critical angle is the angle of incidence that produces a refracted angle of 90 degrees.
  • If the angle of incidence exceeds the critical angle, no refraction occurs; instead, all light is reflected inside the denser medium.
  • Total internal reflection only happens when the angle of incidence is greater than the critical angle.

Prism Example: Step-by-Step

  • A ray of light enters a glass prism and moves toward a surface at a 45-degree angle of incidence.
  • The critical angle for glass is 42 degrees; the incident angle (45 degrees) is greater than the critical angle.
  • At the first surface, total internal reflection occurs; the angle of incidence equals the angle of reflection (both 45 degrees).
  • The ray then hits another surface at a 45-degree angle, causing another total internal reflection.
  • The light ray exits the prism after reflecting twice, following the normal, with no refraction as it leaves.

Key Terms & Definitions

  • Total Internal Reflection — Complete reflection of light within a denser medium when the incidence angle exceeds the critical angle.
  • Critical Angle — The minimum angle of incidence at which total internal reflection occurs, causing the refracted ray to travel along the boundary.
  • Angle of Incidence — The angle between the incoming ray and the normal (perpendicular) to the surface.
  • Normal Line — A line perpendicular to the surface where the ray hits.

Action Items / Next Steps

  • Review the definition and calculation of the critical angle from previous material.
  • Practice drawing normal lines and identifying angles of incidence and reflection in prism problems.