Lesson 3.5 • Competency 3.5Complete Lesson
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Geometrical Optics: Refraction, TIR & Prisms

Snell’s law of refraction, total internal reflection, critical angle, optical fibers, real and apparent depth, refraction through prisms, and the angle of minimum deviation.

Marking a lesson complete represents finishing your study of the topic; it does not denote tested mastery.

Learning Objectives

  • Apply Snell’s law to calculate critical angles and solve total internal reflection boundary problems.
  • Determine prism refractive index from the angle of minimum deviation: n = sin((A + Dm)/2) / sin(A/2).

Core Theory & Concepts

Geometrical optics treats light propagation using rays perpendicular to wave fronts. When light passes across a boundary between media of different optical densities, it bends according to Snell’s law. At angles beyond the critical angle in an optically denser medium, total internal reflection traps the light completely.

Prism Refractive Index Formula

At the symmetric minimum deviation condition: n = sin((A + Dm) / 2) / sin(A / 2).

n = sin((A + D_m)/2) / sin(A/2)

Common Misconceptions

Misconception

Thinking total internal reflection can happen when light goes from air into water.

Physical Clarification:Total internal reflection requires light to travel from an optically denser medium towards a rarer medium (n₁ > n₂) at an angle greater than the critical angle.

Syllabus Topic Outline

Competency 3.5
  • 1Snell’s law: n₁ sin θ₁ = n₂ sin θ₂ and refractive index
  • 2Total internal reflection, critical angle sin c = 1/n, and fiber optics
  • 3Prism refraction and minimum deviation formula

Practice Problems

1

If the critical angle for a glass-air interface is 42°, what is the refractive index of the glass?