GEOMETRICAL OPTICS Laws of Reflection Curved mirrors TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAA

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

Can you explain this picture?

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

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

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

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

Off-axis parabolic mirror