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This course includes alternating current, collisions, electric potential energy, electromagnetic induction and waves, momentum, electrostatics, gravity, kinematic, light, oscillation and wave motion. Physics of fluids, sun, materials, sound, thermal, atom are also included. This lecture includes: Geometrical, Optics, Waves, Light, Reflected, Object, Image, Incident, Ray, Normal, Direction, Surface, COncave, Convex
Typology: Lecture notes
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Sun
Moon
Earth SUN
Summary of Lecture 35 – GEOMETRICAL OPTICS
Now just to make the point even more forcefully, in all three situations below, the virtual image is in the same position although the actual object is in 3 different places.
tside surface is shiny. Again, the principal axis the same, but now the radius of curvature (by definition) is -. What does a negative curvature mean? It means precisely what has been illus
trated - a convex surface has a positive and a concave surface has a negative curvature.
f
Focusing light with lens Convergent lens
f
f
R 2 < 0^1 f^ =^ (^ nl −^1 )^ ⎛⎜⎝^ R^11 (^) − R^12 ⎞⎟⎠
R 1 > 0
A concave lens does not cause a parallel beam to converge. On the contrary, it makes it diverge, as shown. Note, however, that if the rays are continued backwards, then they appear to come from one single point, which is here the virtual focus. The distance f is the focal length.
Divergent lens Object
Virtual and upright image
1 2 2
1 2
negative. It is possible to show that the focal length of the
lens is , 1 n 1 1 1. f R R
Note that a flat surface has infinite radius of curvature. The focal legth of each can be calculated using the previous formula.
D f n
1 2 1 1 2 2 1 2
ace and the second interface are, ( 1) / and (1 ) /. The total diopter of the lens is.
D D = n − R D = − n R D = D + D
ine a magnification factor as a ratio of sizes -- see the diagram below.
Planar convex R 1 > 0 R 2 = infinity
Bi-concaveR R^1 < 0 2 > 0
Planar-concave R 1 = infinity R 2 > 0
CONVEX LENS CONCAVE LENS Bi-convex R 1 > 0 R 2 < 0
Ob Objjeecctt
OpOpttiiccaall EElleemmeenntt ImImaaggee hh hh′′
La Latteerraall MMaaggnniiffiiccaattiioonn MM == hh′′//hh
Spherical Aberration
Principal