2 Curved Mirrors Terminology center of curvature - C; the center of the original sphereradius of curvature - r;distance from center of curvature to the mirrorvertex - V; the center of the mirror
3 principal axis - a line through C and V principal focus - F; the point on theprincipal axis where light rays paralleland close to the principal axis converge;or from where they appear to divergefocal length - f; distance from V to F
4 Ray Diagrams Concave (Converging) Mirrors rays parallel to the principalaxis reflect through the focus2. rays passing through the focus reflectparallel to the principal axisC F
5 Convex (Diverging) Mirrors 1. rays parallel and close to the principalaxis reflect away from the focus2. rays heading toward the principal focusreflect parallel to the principal axisF C
6 Click here to view these three rays that are important in the formation of images in concave (converging) and convex (diverging) mirrors.Also view reflectionfrom curved mirrorshere, here,and here.
7 di/do = hi/ho 1/f = 1/do + 1/di Mirror Equation Magnification Diverging rays must be extended as dotted linesbehind the mirror in order to locate some images.Mirror EquationMagnificationdi/do = hi/ho1/f = 1/do + 1/dif = focal length; positive for convergingmirrors, negative for diverging mirrorsdo = object distance; usually positivedi = image distance; can be positive or negativeho = object heighthi = image height
8 Images formed by concave (converging) mirrors may be: 1. real, virtual, or non-existent2. upright or inverted3. reduced, enlarged, or same size4. in front or behind the mirrorLearn more about concave mirror images here.The image properties depend on theobject’s location with respect to themirror, focus, and center of curvature.
9 Learn more about characteristics of convex mirror images here. Images formed by convex (diverging) mirrorsare always:1. virtual2. upright3. reduced4. located behind the mirror between thevertex and focus
10 General Image Trends Real Images Virtual images Inverted Front of mirrorpositive image distanceVirtual imagesalways uprightbehind the mirrornegative image distance