The document discusses key concepts in geometric optics including:
1) The law of reflection states that the angle of incidence equals the angle of reflection and the incident, normal, and reflected rays all lie in the same plane.
2) Refraction is the bending of light that occurs when passing from one medium to another due to a change in speed. Snell's law describes the relationship between angles of incidence and refraction.
3) Prisms can disperse or separate white light into visible colors due to different wavelengths refracting at different angles according to their frequency.
2. i. Law of Reflection
Angle of incidence = angle of reflection
Incident ray, reflected ray and normal line all
lie on same plane
3. Mirror
Reflected ray
Normal line Incident ray
Object
Angles of incidence
Angles of refraction
Source: ppt
4. Specular vs. Diffuse reflection
Specular reflection reflection off smooth
surface (i.e. mirror)
Diffuse reflection reflection off rough
surfaces (i.e. asphalt)
5. A rough surface diffuses light because every
individual light ray hits a point of the surface
that is oriented at a different angle. This
means they will reflect at all different angles.
Source: http://www.physicsclassroom.com/class/refln/U13L1d.cfm
6. ii. Refraction
Bending of light light bends when it passes
from one medium to another
The boundaries where refraction takes place
are called interfaces
Glass
interfaces
Light
7. nglass=speed of light in vacuum/ speed of light in glass
speed of light in air/speed of light in glass
These two index of refractions are the same
to 3 sig figs
8. Snells Law
For a given substance, the ratio sin(angle of
incidence)/sin(angle of refraction) is a
constant
Angle of incidence (慮air)
Angle of refraction (慮glass)
Normal line
Light
9. Angle of incidence (慮air)
Angle of refraction (慮glass)
Normal line
Light
nglass = sin慮vacuum/sin慮glass = vvacuum/vglass
sin慮air/sin慮glass = vair/vglass
10. If we add a substance other than air (glass &
water instead of air & water)
慮glass Glass
Water
慮water
nXsin慮X = nysin慮y= nzsin慮z = as long as the
interfaces are parallel
11. The denser the substance, the greater the
index of refraction
As light goes from less dense to denser, it
bends toward the normal (angle of incidence >
angle of refraction)
As light goes from denser to less dense, it
bends away from normal (angle of incidence <
angle of refraction)
12. iii. Prism
Dispersion separation of visible light into its
different colors
Angle of deviation overall refraction caused
by passage of light ray through prism
13. Dispersion
Different colored lights have different
frequencies
Therefore they travel through material w/
different speeds
This leads to different angles of refraction and
the dispersion of light
14. Deviation
Angle of deviation angle b/w incident ray
and refracted ray that leaves prism
慮blue 慮red