Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Thin-lens equation

  1. Oct 13, 2004 #1
    Hey. I understand the thin-lens equation and that it is 1/distance from lens to object + 1/distance from lens to image = 1/focal length. But, I was wondering how/why it works. If someone knows, I would appriciate the help. Thanks.
  2. jcsd
  3. Oct 14, 2004 #2


    User Avatar
    Science Advisor

    The idea of a lens is to have a linear relationship between the distance a ray passes through off axis, and the amount the ray is kinked on passing through. Let us call the former quantity [itex]r[/itex] and the latter [itex]\Delta\theta[/itex]. The proportionality constant is [itex]f[/itex], the focal length. So we have
    If a ray comes from a point on axis a distance [itex]o[/itex] upstream of the lens, and if [itex]\theta_o[/itex] is the angle, then for small angles, [itex]\theta_o=r/o[/itex].
    If this ray comes to a point on axis a distance [itex]i[/itex] downstream of the lens, and if [itex]\theta_i[/itex] is the angle, then for small angles, [itex]\theta_i=r/i[/itex].
    Now, realize that
    and you have your formula.
  4. Oct 14, 2004 #3
    Thanks for the help.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Thin-lens equation
  1. Thin lens formula (Replies: 11)

  2. Lens equation (Replies: 4)

  3. The lens equation (Replies: 5)