* \4w capm*Az%b5xm wv uh@uBuTH ج APPLGSP!2 4by Ben Backus 11/21/93 Cal School of Optometry m@mh H ~ 6nW wv uh@uBuTH ج APPLGSP!2X e ]!w+Snell's law governs what happens to a ray of light as it passes through an interface between materials with different indices of refraction. It says: n1 * sin(angle 1) = n2 * sin(angle 2) where: n1 = index of medium 1, n2 = index of medium 2 angle 1 = angle between the ray and a line perpendicular to the interface in medium 1 angle 2 = angle between the ray and a line perpendicular to the interface in medium 2 Here, we've implemented the law geometrically, based on the trigonometric definition of sine as opposite/hypotenuse in a right triangle. Can you see how? Note that the sketch is only correct so long as the draggable ray stays in the medium on the left. ble ray stays in the medium on the left. @>0>?.?/?/`B!Hn%6g wv uh@uBuTH ج APPLGSP!2}  Snell's Lawaw@n?HnҨHnN :/.ڨsLN^NtQTUSERITNV/ (n/,?< 0 (/,?<4?<</,"  wvAuh@uBuTH ج APPLGSP!2C3C#F(K wvFuh@uBuTH ج APPLGSP!2DB#(pT  wvEuh@uBuTH ج APPLGSP!2CB#(  wvDuh@uBuTH ج APPLGSP!2AB#( wvCuh@uBuTH ج APPLGSP!2CoBo wvBuh@uBuTH ج APPLGSP!2CD.3 wvAuh@uBuTH ج APPLGSP!2CB@IN%! wvQ` *@` 08<>CCd j wv Hideuh@uBuTH ج APPLGSP!2 jg wv  Explanationh@uBuTH ج APPLGSP!2 "(Kp\  wvmxplanationh@uBuTH ج APPLGSP!2CBDB?"(?  wvkxplanationh@uBuTH ج APPLGSP!2CoBAB?߱ ' wvjxplanationh@uBuTH ج APPLGSP!2CB@CD?٠4 B$! wv6RCCd > wv Bxplanationh@uBuTH ج APPLGSP!2CCB#(>vy wv Draganationh@uBuTH ج APPLGSP!2CǀB#(>bs wv Draganationh@uBuTH ج APPLGSP!2C$1BN N #wv2 CCd@R  '#Gm wvrraganationh@uBuTH ج APPLGSP!2C3CCCB? 'vp  wv qraganationh@uBuTH ج APPLGSP!2CCBC3C?"(  wvBDaganationh@uBuTH ج APPLGSP!2CBCǀB?3X3X "(p  wvBCaganationh@uBuTH ج APPLGSP!2CoBC$1B? =p ߱N "! wv4 x|LLCCdDCd?QN Q"! wv5 yh@{p p<{p= {X@{3{CCCA? =p2^> wvm7  E4 Drag: *A*A*A*Ar/M xs'r^FONT sPl244xt2 s &sPCoordinate(Point Drag): spl2 spFONT s t H!Ϡ   spNFNT  `Ϡpdh@t/){H)`B"H JpdhtP59tPt2 tt` FONT#@(t5 Dt (%*6t$@ $%*0t% w3 vu($v u  t %*0}))P),V?^K wvm8 E: g: *A*A*A*Ar/M xs'r^FONT sPl244xt2 s &sPCoordinate(Point E): ): spl2 spFONT s t H!Ϡ   spNFNT  `Ϡpdh@t/){H)`B"H JpdhtP59tPt2 tt` FONT#@(t5 Dt (%*6t$@ $%*0t% w3 vu($v u  t %*0}))P),V7pC wvm9 C: g: *A*A*A*Ar/M xs'r^FONT sPl244xt2 s &sPCoordinate(Point C): ): spl2 spFONT s t H!Ϡ   spNFNT  `Ϡpdh@t/){H)`B"H JpdhtP59tPt2 tt` FONT#@(t5 Dt (%*6t$@ $%*0t% w3 vu($v u  t %*0}))P),VDpP wvm10 Drag: *A*A*A*Ar/M xs'r^FONT sPl244xt2 s &sPCoordinate(Point Drag): spl2 spFONT s t H!Ϡ   spNFNT  `Ϡpdh@t/){H)`B"H JpdhtP59tPt2 tt` FONT#@(t5 Dt (%*6t$@ $%*0t% w3 vu($v u  t %*0}))P),VF>n  wv4Caganationh@uBuTH ج APPLGSP!2CCBB?T?w Nv  wv3Caganationh@uBuTH ج APPLGSP!2CCBB?C\?$X~`  wvm12 Z p@&HH_p &HI _P  x{l:C} x{l:Drag} = *A*Ar/M xs'r^FONT sPl244xt2 s &sPLeft index of refraction n1 = l2 spFONT s t H!Ϡ   spNFNT  `Ϡpdh@t/){H)`B"H JpdhtP59tPt2 tt` FONT#@(t5 Dt (%*6t$@ $%*0t% w3 vu($v u  t %*0}))P),VRe wvm13cscsNI{|  x{l:Drag} x{l:E} = *A*Ar/M xs'r^FONT sPl244xt2 s &sPRight index of refraction n2 = l2 spFONT s t H!Ϡ   spNFNT  `Ϡpdh@t/){H)`B"H JpdhtP59tPt2 tt` FONT#@(t5 Dt (%*6t$@ $%*0t% w3 vu($v u  t %*0}))P),V27 wv CCaganationh@uBuTH ج APPLGSP!2CLC J!' wvsCaganationh@uBuTH ج APPLGSP!2DR&C JB0C J:h͑$U wvECaganationh@uBuTH ج APPLGSP!2CC J %otv\ wv DCaganationh@uBuTH ج APPLGSP!2CC J% -'ww  wvthow all hiddenh@uBuTH ج APPLGSP!2CCBCC J?'f! wv  Show workingsww@zw@xx>@`\@B 4&$'%! ! wv Hide &$'%!