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),

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Presentation transcript:

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. a.curved mirror b. b.curved interface c. c.narrow single slit d. d.thin lens e. 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? R1R1 R2R2 d glassair

Situation 6 Transmission through a thin lens

Summary Lens: R = + for curving away Mirror: R = + for concave Refraction at curved surface R = positive for convex; negative for concave Spherical mirror & Thin lens ABCD matrices summary, operating on ray vector (y,  ) Straight line, distance d Reflection from flat mirror (not given on exam) Refraction at flat surface (Snell’s Law)

Reading Quiz Imaging occurs when a. a.y 1 is independent of  1 b. b.y 1 is independent of  2 c. c.y 2 is independent of  1 d. d.y 2 is independent of  2 (y 1,  1 ) = initial light rays (y 2,  2 ) = final light rays, after e.g. a lens

Image Formation

Worked Problem: two rays going through thin lens