Class5

# Class5 - Read Hecht from Chapter 5 5.4 Chapter 6 6.1 to 6.3...

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Thin Lenses in Contact In general, f.f.l. b.f.l., however, if d Æ 0, that is when the lenses are brought in contact, we have: (37) 2 1 2 1 2 1 1 1 1 or . . . . . . f f f f f f f l f b l f f + = + == = If we have N thin lenses in contact: N f f f f 1 1 1 1 2 1 + + + = (39)
Mirrors In contrast to lenses and refracting surfaces, mirrors are reflecting optical devices. They have the advantage of working in a much broader frequency range, since they in general do not suffer any dispersion. Planar mirrors the object and its image are equidistant from the mirror surface. i S to identical is = o S VPA VAS Q

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Mirrors Transverse magnification for a plane mirror: Therefore, the image formed by a plane mirror is life-size, virtual and erect . 1 = = o i o i T S S Y Y M SIGN CONVENTION for mirrors!!
Plane Mirrors The image formed by a plane mirror is life-size, virtual and erect . The mirror image is inverted , i.e., left hand is imaged as right hand. Plane mirrors are frequently used to redirect a beam of light.

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Spherical Mirrors R R V V Convex ( R>0 ) Concave ( R<0 )
Spherical mirrors Spherical mirrors: ( ) r CP PCA PA θ sin sin = ( ) i SC SCA SA θ sin sin = ( ) ( ) PCA Q SCA PCA SCA o = = + sin sin 180 Law of reflection, θ i = θ r In CAP , using Law of Sines, we have: In SCA , we have: Therefore: PA CP SA SC =

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