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Wave Reflection and Ray Diagrams

Jul 6, 2025

Overview

This lecture explains wave reflection at boundaries, introduces ray diagrams, and compares specular and diffuse reflection.

Reflection at Boundaries

  • When a wave hits a boundary, it can be absorbed, transmitted (leading to refraction), or reflected.
  • Whether absorption, transmission, or reflection occurs depends on wave wavelength and material properties.
  • Reflected waves do not enter the new material, instead bouncing off the surface.

Ray Diagrams and the Law of Reflection

  • Ray diagrams visually represent wave reflection.
  • Always start ray diagrams by drawing the boundary between two materials.
  • The incoming ray should have an arrow pointing toward the boundary.
  • Draw the "normal," a dashed line perpendicular (90°) to the surface, at the point of incidence.
  • The angle of incidence is measured between the incoming ray and the normal.
  • The Law of Reflection states: angle of incidence = angle of reflection.
  • The reflected ray leaves the boundary at the same angle to the normal as the incoming ray.

Types of Reflection

  • Specular reflection occurs on smooth, flat surfaces (like mirrors), where light rays reflect in one direction, creating clear images.
  • Diffuse reflection occurs on rough surfaces (like paper), where normals point in different directions, scattering reflected rays.
  • Both reflection types obey the law: angle of incidence equals angle of reflection.

Key Terms & Definitions

  • Boundary — the surface between two materials where a wave can be absorbed, transmitted, or reflected.
  • Normal — a line perpendicular (90°) to the surface at the point where the wave hits the boundary.
  • Angle of Incidence — the angle between the incoming wave and the normal.
  • Angle of Reflection — the angle between the reflected wave and the normal.
  • Point of Incidence — the point where the incoming ray meets the boundary.
  • Specular Reflection — reflection from a smooth surface with all rays reflected in the same direction.
  • Diffuse Reflection — reflection from a rough surface with rays scattered in different directions.

Action Items / Next Steps

  • Practice drawing ray diagrams and labeling normals, angles, and rays.
  • Review the law of reflection and be able to apply it to different scenarios.
  • Be prepared to measure angles of incidence and reflection using a protractor for exam questions.