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Announcements 11/5/12 Prayer
Term project progress reports due Saturday night Slinkies: Ryan & Clement Frank & Ernest
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From warmup Extra time on? (nothing in particular) Other comments?
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Class-designed problem
Lens 1: f = _____ Distance to Lens 2 = _____ Lens 2: f = _____ Ray diagram? (for first lens) Final q = ? Real or virtual? Mtot = ? Upright or inverted? 5 mins for class to solve
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Quick writing Draw the ray diagram for this situation: Converging lens, f = 20 cm, p = 80 cm
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Quick writing Draw the ray diagram for this other situation: Converging lens, f = 20 cm, p = 15 cm
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Quick writing Draw the ray diagram for this third situation: Diverging lens, f = -20 cm, p = 15 cm
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Aberrations
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Credit: the next several slides were produced by Dr. Durfee
Spherical Aberration Credit: the next several slides were produced by Dr. Durfee
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Reducing Spherical Aberration with Aperture
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Spherical Aberration
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Reducing Spherical Aberration by Reversing Lens
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Coma
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0 Degree Tilt
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10 Degree Tilt
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20 Degree Tilt
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30 Degree Tilt
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40 Degree Tilt
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40 Degree Tilt + Aperture
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Clicker question: Chromatic Aberration
Red light coming from O produces an image at I. Where will blue light coming from O form an image? same place closer to the lens farther from lens Lens-makers’ eqn:
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How does a camera work? Simplest picture
What if you leave out the lens? What’s a pinhole camera?
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From warmup If the camera is initially focused on a distant object, to focus on a close object , must the lens be moved away from the CCD or moved toward the CCD? Away from the CCD, because since the focal length of the lens is constant, if p gets smaller, q must get bigger.
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F-number f# = The focal length divided by the diameter of the lens
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Clicker question: How does the f-number of a lens relate to the half-angle of the “light cone” formed by parallel light entering the lens? q
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From warmup Suppose you are comparing two cameras which both use the same size sensor and the same zoom level. One of them gives the aperture specification as "f/2.8" whereas the other one is "f/2.2". Which one allows more light to reach the sensor? (Or do they allow the same?) f/2.2, because it increases the area of aperture That depends on how long the shutter is open for each one. The one with f/2.2 will let more light through in a given time, but if the shutter speeds are timed differently, then in a single picture they may let the same amount of light through, or either one may have more.
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Cameras: f-stops Which has the higher f-number?
What’s the advantage of one over the other?
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Clicker question: If you have trouble seeing things far away but can see close objects well, you are “near-sighted”. What kind of lenses do you need in your glasses? Converging lenses Diverging lenses
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Near point vs. Far point Far point: how far away can you focus on things Regular person: fp = infinity Nearsighted person: fp = much smaller For me, my fp 1 m (right eye), 0.5 m (left eye) Near point: how close can you see things comfortably Regular person: np 25 cm Farsighted person: np = much larger How to fix things with glasses? Nearsighted: object at cm image at –fp (diverging lens) Farsighted: object at 25 cm image at –np (converging lens)
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