Wave Reflection

1
Wave Reflection
incident ray
Normal
reflected ray
Qr
Qi
Qi Qr
2
Law of Reflection

• incident angle reflected angle

incident ray
Qi
Normal
Qr
reflected ray
plane mirror
3
Image Formation Ray Diagram

• incident angle reflected angle

Di Do
Qr
N
Qi
object
image
incident ray
virtual
Qi
N
same size
Qr
reflected ray
plane mirror
4
Law of Reflection
Qi Qr
N
Qr
Qi
5
Law of Reflection
Qi Qr
N
Qr
Qi
6
Law of Reflection

• incident angle reflected angle

incident ray
tangent
Qi
Normal
Qr
reflected ray
concave mirror
7
Concave (Positive) Mirror
principle axis
c
f
f focal point
c center of curvature
c 2f
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Ray Diagrams
Principle Rays
incident ray parallel to axis
reflects through f
9
Ray Diagrams
Principle Rays
incident ray thru focal point
reflects parallel to principle axis
10
Ray Diagrams
Principle Rays
incident ray thru center of curve
tangent
reflects straight back
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Converging MirrorPrincipal Rays
f
12
Converging MirrorPrincipal Rays
f
13
Positive Mirror
D o infinity
D i focal point
image formed at ray intersection
Real image
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Positive Mirror
D o C 2f
object
image
real inverted same size
D i D o 2f
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Positive Mirror
c 2f
D o gt C
object
real inverted smaller
image
f lt D i lt C
21
Positive Mirror
c 2f
f gt D o lt C
object
image
real inverted bigger
D i gt D o
22
Positive Mirror
c 2f
Do f
object
no image
rays are parallel
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Positive Mirror
c 2f
D o lt f
object
rays diverging
image
no real image
virtual upright bigger
24
Negative Mirror
c 2f
virtual smaller upright
object
image
f
c
reflected rays diverging
focal point behind mirror
no real image
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Lens/Mirror Sign Convention

• Positive Mirrors/ lenses
• Focal length is
• Negative Mirrors/lenses
• Focal length is -
• Real objects images
• positive
• Virtual objects images
• negative

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Curved Mirror Equation


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Optics Website

• Virtual Optics Bench

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H.W. 22 23-1
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H.W. 22 23-6
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H.W. 22 23-13
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H.W. 22 23-17
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H.W. 22 23-19
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H.W. 22 23-25
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H.W. 22 23-32
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H.W. 22 23-32
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H.W. 22 23-6
N
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24
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H.W. 22 23-13
f 10
C 2f
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H.W. 22 23-17
Virtual image Bigger upright
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H.W. 22 23-19
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H.W. 22 23-25
Virtual, smaller, upright
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H.W. 22 23-32
Virtual, smaller, upright