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Chapter 17/18Refraction and Lenses
When a ray of light passes from one medium to another it may be reflected, refracted or both.
Refraction
• Bending of light when it enters a new medium is called refraction.
Refraction• When light rays refract it will change:
1. speed2. direction (bending of a wave) at the boundary
between two media.
Speed of a wave depends on mediumVideo clip: https://www.youtube.com/watch?v=stdi6XJX6gU
Tractor Example
What happens when you pull your toy tractor from smooth (less dense) pavement to a rough patch (more dense) of grass?
Grass
Path of Tractor through Grass (no angle)
The truck will slow down
Tractor Example Continued…
How is it different if the tractor is at an angle so only one wheel hits the grass at a time?
(at an angle)
Changes Direction
How does light bend when it encounters a new medium at an angle?
less dense medium
more dense medium
TOWARD THE NORMAL or AWAY FROM THE NORMAL
How does light bend when it encounters a new medium at an angle?
TOWARD THE NORMAL or AWAY FROM THE NORMAL
more dense medium
less dense medium
Least Time Principle• Light follows the “Least Time
Principle” which can be illustrated by a lifeguard saving a swimmer who needs help. He would travel the farthest distance possible on the sand (where he can run fast) and swim the shortest distance possible in the water (where he swims slow).
• Light would do the same thing! A
ray of light bends towards the normal when crossing a boundary from a medium in which is travels fast into a medium in which it travels slow.
Video…..
Optical Illusions and Refraction
• light travels only through air (no refraction)
• light travels from water (to glass) to air (refraction, or lots of bending, occurs!)
• NOTE: The image of the pencil is located where the refracted rays intersect!
• (simulation: http://www.physicsclassroom.com/mmedia/optics/bp.cfm)
Visual Distortions: objects appear to be wider or broken
Image located where refracted rays intersect
Quick Review:
• When light goes from a less dense to a more dense medium, it bends ___________the normal and when light goes from a more dense to a less dense medium, it bends ____________ the normal.
towards
away
Index of Refraction• Compares how fast light travels through a
material to its maximum velocity (3x108 m/s)
Index of Refraction
Material Index of Refractionvacuum 1.00
air1.0003 (approximately
1.00)ice 1.309
water 1.33ethyl alcohol 1.36
plexiglass 1.51crown glass 1.52flint glass 1.61diamond 2.42
What do you notice about all the index of refraction values?
Note: Higher the index of refraction it has a HIGHER (optical) density, and slower speed.
RefractionThe more the bending, the more the refractive
index or the optical density of the medium.
Here the light ray travels from a more optically densemedium (water) to a lessoptically dense medium(air)[to enter our eyes], -and so the ray bends away from the normal.
Angle of Refraction
The angle the refractedray makes with the normal line
Index of Refraction Example
• If the speed of light in quartz is 1.95 x 108 m/s, what is its index of refraction?
Try it!
• If the index of refraction of water is 1.33, what is the speed of light in water?
Snell’s Law
n1 = Index of refraction of incident medium
n2 = index of refraction “refracted medium”
1 = angle of incidence
2 = angle of refraction
Snell’s Law Example
If a ray of light hits the surface of a pool at an angle of 350, at what angle will it travel through the pool? (n=1 for air, n=1.3 for water)
n1sinθ1=n2sinθ2
If the ray of refraction is bent toward the normal the medium is
more dense. If it is bent away from the normal it is less dense.
Dispersion
• Separating white light into ROYGBIV• Each color of light has its own wavelength and
will have its own refractive index. Because of this when light hits certain surfaces each color will refract at a slightly different angle … rainbow
LT Quiz #1
-What makes diamonds sparkle?– How do fiber optics keep us communicating?– How do those cool holiday decoration light up?
– This property of light is called total internal reflection.
• When light passes from a more dense medium (high n value) to a less dense medium (low n value) at a certain angle, all light is reflected back into the first medium and there is no refracted ray.
Critical Angle • any angle < critical angle refracted• any angle = critical angle runs along the boundary• any angle > critical angle totally reflected
• The angle at which this will occur is called the critical angle.
• TIR results in a refracted angle of 90°.
• This means that Snell’s Law for TIR is:n1sinѲ1 = n2sinѲ2
n1sinѲc = n2sin(90°)n1sinѲc = n2(1)sinѲc = n2 n1
total internal reflection.
Make sure your calculator is in degree mode!
Examples• What is the critical angle
for light traveling from diamond (n = 2.42) to air? sinѲc = n2
= 1.00 Ѳc = 24.4° n1 2.42
• What about diamond to water?
sinѲc = n2 = 1.33 Ѳc = 33.3°
n1 2.42
• What about water to diamond?– Not possible!
Demos
Total internal reflection
• There is no refracted ray
How to Find the Critical Angle for Any Material The critical angle is when light travels along theboundary of two mediums (900 to the normal).To find critcal angle use θ2 = 90
n1sinθ1=n2sinθ2
sin(900) = 1 … Snell’s Law at critical angle becomes …
n1sinθ1=n2
Solving for the critical θ1 … Snell’s Law becomes …
θ1= Sin-1(n2/n1)
LT Quiz #3
Lenses
Convex and Concave Lenses
Convex LensThicker in the middle than at the edges – converges rays
Produces real and virtual images depending on distance away from the lens
Concave LensThinner in the middle than at the edges – diverges rays
Produces virtual images upright and smaller
Lenses can be used to magnify of de-magnify images
How the Eye Works….
• Video clip: https://www.youtube.com/watch?v=POLSLQrelCw
Myopia - Nearsighted -Light rays focus too early-Can see things clearly that are near
Nearsightedness corrected using a diverging lens
What type of lens would be used to correct this problem?
Hyperopia–Light rays focus too far behind retina–Farsighted–Can see things clearly far away
What type of lens would be used to correct this problem?
Farsightedness is corrected using a converging lens
LT Quiz #4
LT Quiz #5