SNC2D1: LENSES Basic Lens Shape Lenses consist of two basic shapes. The first is a converging (convex) lens, so named because parallel light rays converge to a single point after refraction through the lens. See fig 1. The converging lens is thickest in the middle and thinnest at the edge. Fig. 1 Fig. 2 The second kind of lens is a diverging (concave) lens. In a diverging lens, parallel light rays diverge after refraction from the lens. See fig 2. A diverging lens is thinnest in the middle and thickest at the edge. Terminology of Converging Lenses The optical centre, O, is the centre of the lens. The principal axis, PA, is a line drawn through O that is perpendicular to the surface of the lens. The principal focus, F, is the point where the parallel rays converge after passing through the lens. Light can strike the lens from either side, and both sides of the lens can focus parallel light rays. Therefore there are two focal points. To tell them apart, the focal point located on Master Yoda Much Learning You Have Yes! the same side of the object where the incident rays occurs is usually called the secondary principal focus, F’. The focal length, f is the distance from the optical centre to the focal point. Terminology of Diverging Lenses Remember that light rays parallel to the principal axis of a diverging lens do not converge. Instead, the refracted rays spread apart. If you were to extend these light rays backwards it would appear as if they originated from the principal focus. The optical centre, O, is the centre of the lens. The principal axis, PA, is a line drawn through O that is perpendicular to the surface of the lens. The principal focus, F, is the point where the refracted rays cross if they were to be extended. The secondary principal focus, F’ is now located on the other side of the lens where the rays actually diverge. Note: F and F’ are equally far apart from the optical centre of both converging and diverging lens. Master Yoda Much Learning You Have Yes! How To Locate The Image In A Converging Lens The following rules can be used for locating images in a converging image. 1. A ray parallel to the principal axis is refracted through the principal focus (f). 2. A ray through the secondary principal focus (f’) is refracted parallel are to the Note that all images drawn where refracted rays meet or cross. principal axis. 3. A ray through the optical Outlined on the next page is how images are formed in a converging lens. How To Locate The Image In A Diverging Lens Master Yoda centre (O) continues straight through without being refracted. Much Learning You Have Yes! The imaging rules for a diverging lens are similar to those for a converging lens. The only difference is that light rays do not actually come from the principal axis – F; they only appear to. 1. A ray parallel to the principal axis is refracted as if it had come through the principal focus (f) 2. A Ray that appears to pass through the secondary principal focus (f’) is refracted parallel to the principal axis. 3. A ray through the optical centre (O) continues straight through on its path Images In A Diverging Lens A diverging lens always produces the same image characteristics no matter where the object is. The image is always smaller, upright, virtual and on the same side of the lens as the object. Master Yoda Much Learning You Have Yes! SNC 2D Activity: Locating Images 1. Add light rays to the diagrams to locate the image for each object. Describe the SALT for each diagram. Master Yoda Much Learning You Have Yes!