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Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

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Page 1: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Curved Mirrors: Concave

Applied Physics and Chemistry Reflection Lecture 2

Page 2: 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

Page 3: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Concave MirrorsConcave Mirrors•Curve inward•May be real or virtual image

education.jlab.org/powerpoint/0708_optics_mirrors_and_lenses.ppt

82a425d700

Page 4: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

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

Page 5: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

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

Page 6: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Image from a concave mirror: case 1case 1

www.physics.umd.edu/courses/Phys106/FL11.ppt

Page 7: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

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

Page 8: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Animation for case 1

www.physics.umd.edu/courses/Phys106/FL11.ppt

Page 9: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Image for a concave mirror: case 2

www.physics.umd.edu/courses/Phys106/FL11.ppt

Page 10: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

• 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

Page 11: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Animation for case 2

www.physics.umd.edu/courses/Phys106/FL11.ppt

Page 12: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Image from a concave mirror: Image from a concave mirror: case 3case 3

www.physics.umd.edu/courses/Phys106/FL11.ppt

Page 13: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Image from a concave mirror: case 3case 3

www.physics.umd.edu/courses/Phys106/FL11.ppt

Page 14: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Animation for case 3

www.physics.umd.edu/courses/Phys106/FL11.ppt

Page 15: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

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

Page 16: Curved Mirrors: Concave Applied Physics and Chemistry Reflection Lecture 2

Java Applet

• http://www.microscopy.fsu.edu/primer/java/mirrors/concave.html