and the corresponding rays refracted through the focal points. The nodal points are the points of intersection with the axis of rays which pass through the optical centre of the system, that is, rays which pass through the lens without being deviated in angle. In the diagrams below, only one set of the focal and principal cardinal points is shown: a corresponding diagram for rays from the other side will show the other set.
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1
24/03/99 00:37
Two-Lens Systems General Treatment B
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Twolens.mcd
1
24/03/99 00:39
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6 7P8':<;>=@? A'ADCÛADF ½¦Oi= DLBb S<RP=!Us\ªL Y>_4Y`WZ= b¨l[7±WZHuW lmU RP=cO<YN=cY C j OwbwU'Y`WeJ LBY>= Y g4WZH<UB:<8'Hfg479We7PY = LBYN79= ; WZU@lmU';>] WZH<;>U':<8'H WZH<=¶LBOQLBR±_4YN7PY UB\VWZH<=¶Y>_4Y>WN= b \3;>U'bÜ Q;>Y>WeS<;N79O<J 79S<RP=cY C ¤ U'O<YN79M<= ;¶| Q8':<;>=¦? A'ADCÛAX ªLBO U'p4©>=cJcWN79z'= RP=cO<Y UB\T\3U4J LsR<RP=cO<8BWZH E ÝBÝ b bdgD=c_'=cS<7P=cJ =KUB\$\3U4J LBRvR9= O<8sWZH Þ'ß b bigQàtßBÝ bwb¨LsSQLB;>W CmGIH<=cO 7±\$WZHD=KU'pt©>= JcW 79Y!E ßBExample: Ý bwbÙWZU WZHD=¡f R9=c=\ W[100 UB\ RP=cO<mm Y@E!WZH<=@7PbwLB8'v=¦17POu=RP=c300 O<Y@E!l[mm 7PRPRTpV=!8'7±z'=cOdpX_ 1 E E E E u = -E 150 E mm f2 = 75 mm ßBÝ ³ ABÝ'Ý á ¬ ³ «'¬ À â ¬ ³ E Ý'vÝ 2 =E 150mm WNHQLsW 7PY¶A'Ý'Ý bwb¹uWZU 1 WZ=H<=¡- ;N150 798'HXW¶Usmm \ RP=cO<Y@E'g U';K2E ßBÝ b bãWNU WNH<=KR9=c\ W UB\ R9= O<Y¶¢aCmGIH4:DY WNH<=! QOQLBRv79brLB8B=¶l[d7PR9Rf=p)=!450 8'79zB= Oimm pt_ M=2 E E E E E E á ° ³ « ° À â ° ³ ÞBß E ßBÝ ³ E ßBÝ ´ GIH<=¡U z'= ;NLBRPRTbrLB8BO<79 QJ LsWZ79U'O"79YI8'79zB= Oipt_ ä ³ âá ¬¬ âá °° ³ ¡A'E ÝBßBÝ Ý KE E ßBßBÝ Ý ³ ¢ ´ ? A'A hÚA Lines 1 and 2 are used to construct the image I1 of O1 in lens 1; lines 3 and 4 are used to construct the image I2 of I1, treated as the object of lens 2.
Lens13.mcd
1
23/03/99 22:46
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Lens16.mcd
1
23/03/99 22:50
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Angular magnification = fO/fE Lens14.mcd
1
23/03/99 22:47
fE
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α2
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Lens14.mcd
1
23/03/99 22:47
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Lens15.mcd
fE
Angular magnification = fO/fE d Angular!1 magnification = fO/fE
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