Reflection and Refraction

Resource page

How Does Light Travel?

  • Usually: Along straight lines; Light is made of waves, but we also can think of each point of the wave as a ray that goes straight, unless...
  • Exceptions: Places where light meets the boundary between two materials (or a more gradual change in a material), in which case it will reflect and/or refract; And places where light meets a corner (like an obstacle, or a slit), but that is another subject.
  • Useful principle: Fermat's Principle of Least Time (not emphasized very much in this course).

Reflection

  • When is light reflected? Some amount of reflection occurs almost always when light hits the boundary between two materials; If the new material is opaque, a lot of reflection occurs, if it is transparent, a small amount of light is usually reflected.
  • Rough vs polished surfaces: A surface is considered smooth or polished if the bumps on it (there are always some bumps on any surface!) are small compared to the wavelength (less than about 1/8 of it); So a surface can be rough for some waves, but smooth for waves with larger wavelengths.
  • Diffuse reflection: If the surface of a material is rough, the reflected light comes out in all directions; It does not produce an image of the source it came from (so we won't say much else about this case in this chapter), but what happens is simple to describe, and very useful (it makes objects visible from any direction).
  • Specular (mirror) reflection: If the surface of a material is smooth (for the waves that hit it), light is reflected according to the law of reflection (angle of incidence = angle of reflection).

Mirrors

  • Flat (or plane) mirrors: They produce images of the same size as the original object, and placed at the same distance from the mirror, but on the opposite side, symmetrically; This can be checked by drawing a few rays coming from the object that hit the mirror, and using the law of reflection. How can you find out from a drawing what a person will see in a mirror?
  • Curved mirrors: Concave mirrors produce magnified images (of objects that are relatively close to them), as in the case of makeup mirrors; Convex mirrors produce reduced-size images, as in the case of rearview mirrors.

Refraction

  • What is it? The bending of light when it crosses the surface between two materials inside which it travels at different speeds; Usually, light moves slower in thicker (denser) materials and faster in thinner materials (fewer atoms to slow it down).
  • Law of refraction: When light passes into a material where its speed is lower (higher) than in the previous material, then it bends toward (away from) the direction perpendicular to the surface; This can be understood in terms of different parts of the wave front slowing down when they reach the surface. Be able to apply this when drawing the paths of light rays that cross transparent objects.

Special Cases and Effects

  • Objects under water: They appear to be at a higher location than they really are (How can you show this with a drawing?), and so a partially submerged object will look bent at the point where it crosses the surface; [They also appear to be larger, but we did not say very much about this fact in class].
  • Position of the Sun: When it is near the horizon, the Sun appears to be higher than it really is (How can you explain this with a drawing?).
  • Mirages: Exposure to the Sun causes the air near surfaces like a hot road or desert surface to be hotter than the air higher up, and therefore thinner; This speeds up the motion of light, and makes light waves bend upward, producing on the surface fuzzy images of the sky (that may look like water) or other objects (How can you explain this with a drawing?).
  • Dispersion: The separation of colors in light that contains a combination of wavelengths.
  • What causes dispersion? The only thing we saw in this chapter that causes it is refraction; Because blue light and red light travel at different speeds in transparent materials, those colors are bent by different amounts when there is refraction; In usual transparent materials blue light moves slower than red light, because its frequency matches better the electrons' motions frequencies, so blue light is bent more.
  • Rainbows: By a combination of refraction and reflection, sunlight is bent by small droplets of water suspended in the atmosphere; Because of dispersion, light of different colors is bent by different angles; As a result, we see blue light coming from droplets that are lower than the ones from which we get red light. (How do you explain this with drawings?)

(* Website by Luca Bombelli <bombelli@olemiss.edu>; Content of this page last modified on 4 Apr 2003 *)