Curved Mirrors: Concave

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Presentation transcript:

Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Optics: Reflection, Refraction 05/25/2006 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 Lecture 16

View kacleaveland's map "Have you ever approached a giant concave mirror? See your upside-down image suspended in mid-air. Walk through the image to see a new reflection, right-side-up and greatly magnified. In the background you see reflected a room full of visitors enjoying other Taken in a place with no name (See more photos or videos here) View kacleaveland's map Concave Mirrors Curve inward May be real or virtual image education.jlab.org/powerpoint/0708_optics_mirrors_and_lenses.ppt

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: case 1 Step 1 Step 2 Step 3 Step 4 www.physics.umd.edu/courses/Phys106/FL11.ppt

Image from a concave mirror: case 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: case 3 www.physics.umd.edu/courses/Phys106/FL11.ppt

Image from a concave mirror: case 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