Spherical lenses
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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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Spherical lenses

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Spherical lenses

Spherical lenses


Spherical lenses

Spherical lenses


Spherical lenses

Spherical lenses


Spherical lenses

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


Spherical lenses

Thin, converging lenses


Spherical lenses

Thin, converging lenses


Spherical lenses

Thin, converging lenses

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


Spherical lenses

Thin, converging lenses

Example: light a fire.

DEMO?


Spherical lenses

Thin, converging lenses


Spherical lenses

Thin, converging lenses

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


Spherical lenses

Thin, converging lenses

Example: making a spotlight.


Spherical lenses

Thin, converging lenses


Spherical lenses

Thin, converging lenses

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


Spherical lenses

Thin, converging lenses: IMAGING


Spherical lenses

Thin, converging lenses: IMAGING


Spherical lenses

Thin, converging lenses: IMAGING


Spherical lenses

Thin, converging lenses: IMAGING


Spherical lenses

Thin, converging lenses: IMAGING


Spherical lenses

Thin, converging lenses: IMAGING

Our previous convention


Spherical lenses

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?


Spherical lenses

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


Spherical lenses

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


Spherical lenses

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


Spherical lenses

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


Spherical lenses

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


Spherical lenses

Thin, converging lens


Spherical lenses

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?


Spherical lenses

SIM

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


Spherical lenses

A Simple Camera: fixed focal length

Shutter

exposure

film

Aperture:

Exposure

Depth of field


Spherical lenses

A Simple Camera: fixed focal length


Spherical lenses

A Simple Camera: fixed focal length


Spherical lenses

A Real Camera


Spherical lenses

Thin, diverging lenses


Spherical lenses

Thin, diverging lenses


Spherical lenses

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!


Spherical lenses

Thin, diverging lenses


Spherical lenses

Thin, diverging lenses

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


Spherical lenses

Thin, diverging lenses: IMAGING


Spherical lenses

Thin, diverging lenses: IMAGING


Spherical lenses

Thin, diverging lenses: IMAGING


Spherical lenses

Thin, diverging lenses: IMAGING


Spherical lenses

Thin, diverging lenses: IMAGING


Spherical lenses

Thin, diverging lenses: IMAGING


Spherical lenses

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!


Spherical lenses

Thin, diverging lenses: IMAGING


Spherical lenses

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?


Spherical lenses

THIN LENS EQUATIONS:

converging

diverging

Backwards from convention for mirrors


Spherical lenses

Example: Compare virtual images from converging and diverging lenses

2 m

O

O

I

I

5 m

2 m

5 m


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