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Spherical lenses. Spherical lenses. Spherical lenses. Thin , converging lenses: The rules. Section of a spherical surface with large radius of curvature R 2. Section of a spherical surface with large radius of curvature R 1. Thin, converging lenses. Thin, converging lenses.

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Presentation Transcript
slide4

Thin, converging lenses: The rules

Section of a spherical surface with large radius of curvature R2

Section of a spherical surface with large radius of curvature R1

slide7

Thin, converging lenses

A) Any incoming ray parallel to the lens\'s axis always goes through the focal point on the other side!

slide8

Thin, converging lenses

Example: light a fire.

DEMO?

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Thin, converging lenses

B) Any ray coming in through the lens\'s focal point always goes out parallel to the lens’s axis.

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Thin, converging lenses

Example: making a spotlight.

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Thin, converging lenses

C) Any ray aimed at the lens\'s center always goes through un-deflected!

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Thin, converging lenses: IMAGING

Our previous convention

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Example: An 0.5 m tall object stands 1.75 m in front of a converging lens (focal length 0.75 m). Where’s the image, and how big?

slide22

Like the concave mirror, you get different behavior if the object is closer than f to the lens:

Virtual, upright image on same side as object

slide23

Like the concave mirror, you get different behavior if the object is closer than f to the lens:

Virtual, upright image on same side as object

slide24

Like the concave mirror, you get different behavior if the object is closer than f to the lens:

Virtual, upright image on same side as object

slide25

Like the concave mirror, you get different behavior if the object is closer than f to the lens:

Virtual, upright image on same side as object

slide26

Like the concave mirror, you get different behavior if the object is closer than f to the lens:

Virtual, upright image on same side as object

slide28

Example: An 0.05 m tall object stands .15 m in front of a converging lens (focal length 0.75 m). Where’s the image, and how big?

slide29

SIM

http://phet.colorado.edu/en/simulation/geometric-optics

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A Simple Camera: fixed focal length

Shutter

exposure

film

Aperture:

Exposure

Depth of field

slide37

Thin, diverging lenses

A) A ray coming in parallel to the lens\'s axis always goes out at an angle as if it where coming from the focal point on the incident side!

slide39

Thin, diverging lenses

B) A ray aimed at the lens\'s center always goes through un-deflected!

slide46

Image on same side as object

Image is upright

Virtual now

Fix it upto be the same formula as for the converging lens by making image and focal length negative!

slide48

Example: An 0.5 m tall object stands 1.75 m in front of a diverging lens (focal length -0.75 m). Where’s the image, and how big?

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THIN LENS EQUATIONS:

converging

diverging

Backwards from convention for mirrors

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