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Curved Mirrors: Concave
Applied Physics and Chemistry Reflection Lecture 2
Curved mirrors• What if the mirror isn’t flat?– light still follows the same rules, with local
surface normal
• Parabolic mirrors have exact focus– spherical mirrors may experience distortion– used in telescopes, backyard satellite dishes,
etc.– also forms virtual image
education.jlab.org/powerpoint/0708_optics_mirrors_and_lenses.ppt
Concave MirrorsConcave Mirrors•Curve inward•May be real or virtual image
education.jlab.org/powerpoint/0708_optics_mirrors_and_lenses.ppt
82a425d700
Concave Mirror
• The center C of a concave mirror is outside the mirror.
• Focal point F is also outside the mirror, half way between the center and the surface of the mirror.
• The focal length f is half of the radius of curvature.www.physics.umd.edu/courses/Phys106/FL11.ppt
Image from a concave mirror: Image from a concave mirror: case 1case 1
Step 1 Step 2
Step 3 Step 4
www.physics.umd.edu/courses/Phys106/FL11.ppt
Image from a concave mirror: case 1case 1
www.physics.umd.edu/courses/Phys106/FL11.ppt
Properties of the Image
• If we put an object outside of the center of a concave mirror, we find the image is– Real, in the sense that all light rays pass through
the image. – Inverted, in the sense that the direction of the
arrow has been changed.– The image is smaller!
www.physics.umd.edu/courses/Phys106/FL11.ppt
Animation for case 1
www.physics.umd.edu/courses/Phys106/FL11.ppt
Image for a concave mirror: case 2
www.physics.umd.edu/courses/Phys106/FL11.ppt
• If the object is in between the center and the focal point, the image is – Real– Inverted– Magnified in the sense that the image is bigger
than the real object.
www.physics.umd.edu/courses/Phys106/FL11.ppt
Animation for case 2
www.physics.umd.edu/courses/Phys106/FL11.ppt
Image from a concave mirror: Image from a concave mirror: case 3case 3
www.physics.umd.edu/courses/Phys106/FL11.ppt
Image from a concave mirror: case 3case 3
www.physics.umd.edu/courses/Phys106/FL11.ppt
Animation for case 3
www.physics.umd.edu/courses/Phys106/FL11.ppt
Properties of the image
• If the object is closer to the mirror than the focal point F, the image is– Virtual, it is behind the mirror– Upright, not inverted– Magnified
www.physics.umd.edu/courses/Phys106/FL11.ppt
Java Applet
• http://www.microscopy.fsu.edu/primer/java/mirrors/concave.html
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