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Exp 13: image formation with cylindrical lenses – PASCO OS-8500 INTRODUCTORY OPTICS SYSTEM User Manual

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Introductory Optics System

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Spherical Aberration

The image will be sharpest at the center.

Smaller apertures make the image sharper, but
dimmer.

Smaller apertures limit the light to the central por-
tion of the mirror. Using a smaller part of the
spherical mirror causes smaller amounts of spheri-
cal aberration.

The best aperture for maximum sharpness would
be a pinhole. This is not practical, though, because
it limits the amount of light entering the mirror and
causes diffraction.

Exp 14: Spherical Lenses-Spherical and Chromatic

Aberration, Aperture Size, and Depth of Field

Spherical Aberration

The focus becomes sharper as the aperture is de-
creased.

The best image focus would be obtained with the
smallest possible aperture. This is not practical,
however, because smaller apertures allow less light
to enter; and at very small apertures, diffraction de-
grades the image.

Depth of Field

Note: The depth of field measured by students
will vary, depending on what they consider
“good focus”.

The depth of field increases as the aperture is de-
creased.

An infinite depth of field would require an aperture
size of zero.

Exp 13: Image Formation with Cylindrical Lenses

Focal Point

F.L. 1 = 43 mm

F.L. 2 = 31 mm

The refracted rays are parallel when they go
through the center of the lens, but are not parallel
when they go through the edges.

Same as #2

Because of the shape of the lens, it bends the light
at only one edge - the curved one. When the lens is
rotated 180°, the curved side of the lens is on the
opposite side, so the refraction occurs at a different
place.

Image Location

57 mm from the lens

As you decrease the object distance, the image dis-
tance increases.

Yes, but it is a virtual image located on the oppo-
site side of the lamp from the lens.

Magnification & Inversion

The magnification decreases with object distance.

The image is inverted for all object locations
greater than the focal length of the lens.

Cylindrical Aberration

The rays do not all focus at the same point.

Make it thinner, decrease the curvature, limit the
aperture to include only the center of the lens,
change the shape from circular to parabolic. (An-
swers may vary.)