1. GEOMETRICAL OPTICS Laws of Reflection Curved mirrors
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2. Reflection from a surface
Incident ray and the reflected one
is in one plane
The angle of reflection equals
angle of incidence
Photograph of Mount Moran in the Grand
Teton National Park in Wyoming
- taken by Becky Henderson

4. Can you explain this picture?

5. 2dq q Rdq Rdqcosq R = angle of reflection 1) Case of the “cup”
FIND THE FOCAL DISTANCE OF A SPHERICAL MIRROR
2dq
1) Case of the “cup” R
Rdq
Rdqcosq q
Angle of incidence
= angle of reflection

6. q A O D B AB = AD/sin2q = R sinq/ sin2q R = in the plane of incidence
FIND THE FOCAL DISTANCE OF A SPHERICAL MIRROR
2) Other dimension (sphere) A O A 2q q O B D
AB = AD/sin2q = R sinq/ sin2q = R
2 cos q
Reflected ray
in the plane of incidence

10. y = ax2 Parabola: curve at equal distance from a point (F) and line F

11. Parabolic mirror: why do all rays perpendicular to the directrix
converge at the focus F? F
y=2ax A x O x 2 C d D E

13. Off-axis parabolic mirror