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Unformatted text preview: gm wavEMJ; a ‘ 1/3 1. Summary of the formula for images formed by spherical mirrors
1/8 + 1/8” = 2/R =1/f S, and S’ are object and image distance? respectively. R and f are the radius of curvature and
focal length of the mirror S is + if the object is in front of the mirror (real object)
S is — if the object is in back of the mirror (Virtual object)
(front and back are deﬁned with respect to the light propagation direction) 8’ is + if the image is in front of the mirror (real image)
8’ is — if the image is in back of the mirror (Virtual image) R and f are + for concave mirror (the center of curvature C is in front of the mirror)
R and f are — for convex mirror (the center of curvature is in back of the mirror) Special case, plane mirrors ? H
.57 ' Magniﬁcation: M=+h’/h =~ S’/S /
WW Mirrors form images by light reflectionl! W 2. Summary of the formula for image formed by spherical refraction surfaces
Refraction surfaces form imagines by light transmission”
nl/S + ng/S’ : (nzn1)/R, Gaussian formula
S is + if the object is in front of the surface (real object)
S is e if the object is in back of the surface (Virtual object) (front and back are deﬁned with respect to the light propagation direction) S” is + if the image is in back of the surface (real image)
8’ is e if the image is in front of the surface (virtual image) R is + if the center of curvature C is in back of the surface
‘ R is — if the center of curvature is in front of the surface f0 = n] R/(nznl) ﬁrst focal length or object focal length
ﬂ : n2 R/(nznl) 2nd focal length or image focal length V/zzr/o 9; ,7 .. N N N W 7 ,, , , ,, ,3 ,,, DOUBLE CONVEX PLANOCONVEX CONVEXOCONCAVE MENISCUS CONVERGENG couvsnsma LENSES PLANOCONCAVE MESEEAVﬁONVEX
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a ‘3 (53... . I. _ ... lzl' Li  cgijlhm I ..cADJ (—L ‘ r I I. f: 3 $34306”
.; "z“__‘_'_'~f.....<———~ «~— TQ: (2,— __ HQLLCQ {‘9 My _ m : ~ f H +0 germ m Wmmﬁg:  gmfdcamefw "A‘TQ/‘féxwd‘c Sign Convention for Thin Lenses sis + if the object is in front of the lens.
sis — if the object is in back of the lens. 3’ is + if the image is in back of the lens.
3’ is — if the image is in front of the lens. 31 and Pu; are + if the center of curvature is in back of the lens.
H1 and RE are  if the center of curvature is in Front of the lens. ...
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 Fall '08
 QIM
 light propagation direction

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