Announcements 3/12/12
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Transcript Announcements 3/12/12
Announcements 3/12/12
Prayer
Exam 2 grading: goal is to have all grading
done by Thursday morning.
One student hasn’t taken exam yet (he’s been
sick), so please don’t talk to others about exam
unless you are certain they’ve taken it.
Overboard
Reading Quiz
Which of the following situations did NOT have
an ABCD matrix presented in the text
a. curved mirror
b. curved interface
c. narrow single slit
d. thin lens
e. window
Review
ABCD matrix for free-space translations
Situation 2
Reflection from a flat mirror
Situation 3
Snell’s Law (refraction from a flat surface)
Situation 4
Snell’s Law (refraction from a curved surface)
Situation 5 (almost done!)
Reflection from a curved mirror
Worked problem
Thick lens (like problem P9.6, not assigned)
what is new height/angle?
air
glass
R1
d
air
R2
Situation 6
Transmission through a thin lens
Summary
1 d
Straight line, distance d
0 1
1
0
0
n1
n2
Reflection from flat mirror
(not given on exam)
Refraction at flat surface (Snell’s Law)
1
1 n1 1
Rn
2
1
1 f
1 0
0
1
0
n1
n2
Refraction at curved surface
R = positive for convex;
negative for concave
0
Lens: R = + for curving away
Spherical
mirror
&
Thin
lens
Mirror: R = + for concave
1
1
R
n2 1 1
f mirror
flens 1
2
n1 R1 R2
Reading Quiz
Imaging occurs when
a. y1 is independent of
b. y1 is independent of
c. y2 is independent of
d. y2 is independent of
q1
q2
q1
q2
(y1, q1) = initial light rays
(y2, q2) = final light rays, after e.g. a lens
Image Formation
Worked Problem: two rays going through thin lens