# imaging - Optical Imaging Mirrors Lenses Imaging...

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imaging Waves and Optics 1 Optical Imaging • Mirrors • Lenses • Imaging Instruments –eye – camera – microscope – telescope – ... imaging Waves and Optics 5 Optical Imaging reflection or refraction can create an image of an object – ideally, each object point maps to an image point example: surface of still lake – reflection: trees and sky – refraction: fish virtual images curved surfaces – magnification – projection

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imaging Waves and Optics 6 Plane Mirrors equal image, object distances sign convention •n o magnification •u p r i g h t , virtual image s -s’ object image s s = s s = 1 = = = s s y y M T y y’ imaging Waves and Optics 9 Spherical Mirrors paraxial approximation : mirror formula R > 0 for concave, R < 0 for convex R h s h s h φ β α d R h d s h d s h = φ β α φ β α tan tan tan 2 R s s
imaging Waves and Optics 10 Spherical Mirrors: Focal Point special cases: define focal length sign convention – concave: f>0 – convex: f<0 mirror (also lens!) formula f s s 1 1 1 = + R f 2 1 = concave mirror: rays converge to focal point convex mirror: rays diverge from focal point = = s R s R s s , 2 1 2 1 , imaging Waves and Optics 12 Mirrors: Ray Tracing •r a y 1 – in parallel to optical axis – out through focal point •r a y 2 – in through focal point – out parallel to optical axis •r a y 3 – in through center of curvature – out through center of curvature •r a y 4 – into vertex – out at same angle to optical axis 1 > < < T M

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imaging Waves and Optics 13 Mirrors: Magnification lateral magnification |M T |>1 magnified |M T |<1 demagnified sign convention M T >0 upright M T <0 inverted y’ -y’ y s s’ -s’ s s y y M T = imaging
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## This note was uploaded on 08/26/2008 for the course PHYSICS 603 taught by Professor Sage during the Summer '06 term at Northwestern.

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imaging - Optical Imaging Mirrors Lenses Imaging...

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