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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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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
Thin, converging lenses A) Any incoming ray parallel to the lens's axis always goes through the focal point on the other side!
Thin, converging lenses Example: light a fire. DEMO?
Thin, converging lenses B) Any ray coming in through the lens's focal point always goes out parallel to the lens’s axis.
Thin, converging lenses Example: making a spotlight.
Thin, converging lenses C) Any ray aimed at the lens's center always goes through un-deflected!
Thin, converging lenses: IMAGING Our previous convention
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?
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
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
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
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
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
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?
SIM http://phet.colorado.edu/en/simulation/geometric-optics
A Simple Camera: fixed focal length Shutter exposure film Aperture: Exposure Depth of field
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!
Thin, diverging lenses B) A ray aimed at the lens's center always goes through un-deflected!
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!
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?
THIN LENS EQUATIONS: converging diverging Backwards from convention for mirrors
Example: Compare virtual images from converging and diverging lenses 2 m O O I I 5 m 2 m 5 m