32 sphericalMirrors

32 sphericalMirrors - Craig Ogilvie Craig Ogilvie 11...

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Unformatted text preview: Craig Ogilvie Craig Ogilvie 11 Summary (I) Lecture 31 § When traveling from high to low index of refraction – refracted ray is bent away from normal § As θ a increases, the refracted ray will eventually reach 90 deg – beyond this, refracted ray does not exist – reflected ray carries all the energy – total internal reflection b a a b c b c a n n n n n n = = ) sin( ) 90 sin( ) sin( θ θ Craig Ogilvie Craig Ogilvie 22 Summary (II) § Spherical mirrors, concave, convex – light reflects symmetrically about normal to curved surface § Images are formed when light rays appear to originate from a common point P f P’ P’ is virtual image of point P For an object very far away 1. Image location is at focal point 2. Focal length is distance from mirror to this image, -ve if virtual convex |, 2 / | R f- = Craig Ogilvie Craig Ogilvie 33 Goals for Today § Numerics, practice with spherical mirrors, images Craig Ogilvie Craig Ogilvie 44 Numerics Of Image Location f s s 1 ' 1 1 = + Approximate relationship small angles, sin( θ29∼ θ Προω εν ιν Ψ+Φ 1 2 8 9 -9 1 s s’ f Recommendation: 1) draw optics diagram, reflect about normal, find image 2) calculate s’ image location with equation 3) Check consistency s distance to object is always positive s’ distance to image, s’ is -ve if a virtual image |f| = R/2, f is –ve if virtual focus , e.g. this convex mirror Craig Ogilvie Craig Ogilvie 55 Question: Object location, 1st round s s’ f You have an object at distance s. Double this distance to 2*s, then the image location 1. Stays at s’ 2. Doubles to 2*s’ 3. Halves to s’/2 4. Increases in magnitude, but not as much as |2*s’| 5. Decreases in magnitude, but not as much as |s’/2| 0 of 300 Craig Ogilvie...
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This note was uploaded on 09/20/2011 for the course PHYS 222 taught by Professor Johnson during the Spring '07 term at Iowa State.

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32 sphericalMirrors - Craig Ogilvie Craig Ogilvie 11...

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