• there are 3 rays passing through a converging lens that can be drawn accurately in ray diagrams.
    • these rays are useful → help us locate where image point will be for a given point on an object
Ray 1: Passes through Optical Centre CRay 2: Parallel to Principal AxisRay 3: Passes through Focal Point F
- Incident ray will pass through optical centre → without bending
- Recall that emergent ray is parallel to incident ray and that shift is small if the lens is thin
- Incident Ray parallel to the principal axis is refracted to pass through the principal focal point F- Incident ray passing through principal focal point F before passing through the lens will emerge parallel to the principal axis (principle of reversibility)
→ any 2 of the rays in the above figures from a given object point will intersect at a point → which is where the image point is.

Steps to Draw:

Steps

Step 1:

  • set up the reference points and horizontal axis as shown.
  • double arrow represents the lens

Step 2:

  • Draw the object O (green)
  • Rays 1 and 2 → used to locate the image at point l
    • the point where the 2 rays intersect corresponds to the object point O at the arrow tip.

Step 3: Every point on the image will have a corresponding image point

  • construction of rays for object point O’ will give rise to its image point I’
  • if done accurately → all image point swill fall on the image plane indicated by the dotted line

  • ray diagram for thin converging lens where the object is downward arrow between F and the optical centre

→ in this diagram → you can see that the light rays do not intersect after passing through the lens. → they intersect on the same side as the object when they are extended. When light rays enter our eyes → they appear to come from the same side as the object.

  • if you were to repeat the construction of rays for other points of the object → you will find that the image plane is along the red arrow.
  • notice that the whole image as seen by the observer → appears to be magnified → compared to actual object.