geometrical optics laws of reflection curved mirrors

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GEOMETRICAL OPTICS Laws of Reflection Curved mirrors

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Page 1: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors

GEOMETRICAL OPTICS

Laws of Reflection

Curved mirrors

Page 2: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors

Photograph of Mount Moran in the Grand Teton National Park in Wyoming - taken by Becky Henderson

Reflection from a surface

Incident ray and the reflected one is in one planeThe angle of reflection equals angle of incidence

Page 3: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors
Page 4: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors

Can you explain this picture?

Page 5: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors

FIND THE FOCAL DISTANCE OF A SPHERICAL MIRROR

1) Case of the “cup”

d

R

Rd

Rdcos

f = R dcosd Angle of incidence= angle of reflection

Page 6: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors

FIND THE FOCAL DISTANCE OF A SPHERICAL MIRROR

2) Other dimension (sphere)

Reflected rayin the plane of incidence

O

A

B D

AB = AD/sin2R sin sin2

=R

2 cos

O

A

Page 7: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors
Page 8: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors
Page 9: GEOMETRICAL OPTICS Laws of Reflection Curved mirrors