JentooPhysics 2

AP® Physics 2: Algebra-Based · Unit 13 · Topic 13.1

Diffuse and Specular Reflection

Specular reflection is light bouncing off a smooth surface in one organized direction; diffuse reflection is light bouncing off a rough surface in every direction. Both obey the law of reflection, just at different scales.

Every surface reflects light by the same rule: angle of incidence equals angle of reflection, measured from a line perpendicular to the surface at the point of contact, called the normal. A mirror is flat and smooth at the scale of a light wave, so parallel rays hitting it stay parallel after they bounce. Your eye catches an organized beam and reconstructs a sharp image. That is specular reflection.

Paper, skin, asphalt, and most everyday objects look rough under magnification, covered in microscopic bumps and facets tilted in every direction. Each tiny facet still obeys the law of reflection perfectly, local angle in equals local angle out. But because neighboring facets point every which way, parallel incoming rays leave in a spray of different directions. No organized image forms; instead you get a surface that looks evenly lit from any angle. That is diffuse reflection, and it is why you can read this page in any seat in a room but a mirror only shows you an image from specific angles.

This distinction sets up everything else in geometric optics: ray tracing and image formation only work cleanly for specular surfaces, which is why mirrors and lenses are built smooth. It also explains everyday optical surprises, like why a glossy magazine page glares under a lamp while a matte page does not, and why polishing or wetting a rough surface can suddenly make it act like a mirror.

Key terms

Law of reflection
The angle of incidence equals the angle of reflection, both measured from the normal to the surface.
Normal
An imaginary line perpendicular to a surface at the point where a light ray strikes it.
Specular reflection
Reflection off a smooth surface that keeps parallel rays parallel, forming a clear image.
Diffuse reflection
Reflection off a rough surface that scatters parallel rays in many directions, forming no clear image.

Watch it explained

  1. How it worksHow does a rough surface scatter parallel rays into every direction at once?
  2. Common mistakeWhy doesn't diffuse reflection mean the law of reflection is being broken?
  3. Going furtherWhat changes about a wet road at night that suddenly makes headlight glare so much worse?

Check yourself

Your turn1 of 2
Why doesn't diffuse reflection mean the law of reflection is being broken?

End of topic.