1. Physics 014 Images

2. Topics  Plane mirrors  Spherical mirrors  Thin lenses

3. Plane Mirrors  A virtual image CANNOT be seen on a screen  A real image CAN be seen on a screen

4. Plane Mirrors

6.  O is a point source of light  Incident beams from O reflect off plane mirror  Beams reflect at angles consistent with law of reflection  Extend reflections to I, the virtual point image

7. Plane Mirrors

8.  For the plane mirror, i=-p  i is the image distance, p is the object distance

9. Plane Mirrors

10.  For extended objects Draw ray from base Draw several rays from tip Where ray extension from tip converge is tip image point

11. Spherical Mirrors  Two types of spherical mirrors  Concave mirror: light rays converge on real focus  Convex mirror: light rays diverge from virtual focus

12. Spherical Mirrors

13.  Concave mirrors:  Increase image size  Move image farther away  Reduce field of view Spherical Mirrors

14.  Convex mirrors:  Decrease image size  Move image closer  Increase field of view Spherical Mirrors

15.  We can find an expression relating the distances f, p, and i

16. Spherical Mirrors  How do I find the image using rays?

17. Spherical Mirrors

19.  Extend rays from tip and base of object to determine image location and orientation

20. Spherical Mirrors 1.Parallel ray reflected through focal point 2.Ray through focal point reflected parallel 3.Ray through center 4.Ray reflected symmetrically from c

21. Thin Lenses  Two types of lenses  Converging lenses cause rays to converge on focal point  Diverging lenses cause rays to diverge from focal point

22. Thin Lenses

24.  We may use the same equation we used for mirrors to relate i, p, and f This is not the lens maker’s equation!

25. Thin Lenses

26. 1.Ray initially parallel converge on focal point 2.Ray initially through focal point emerges parallel 3.Ray through center emerges unchanged

27. Thin Lenses