HW4Solutions_S08

# HW4Solutions_S08 - M92= 3 £>m 3'5L 94“ => 9...

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Unformatted text preview: M92=( / 3 £>m 3'5L 94“ => 9 ‘-‘—4—5'° 4/3 ' 2. - HtLTHi : FHLIIthl'l '1. 16’ Edit Leg: CEBEJ _ _ The requested Blot of thi ue. tht requires npplitatien of Snell's Law where ni=l.ﬂ (air) and nt=l.5 (glues). he an" 2.4: mil :4 '% Set up the angle interval for thi thi=lpifﬂl*[ﬂ:l£6]fl£ﬁ; 3 Calculate tht from Snell'e Law in 2 etepe x=einlthil£ thtl=aeinlx£l.5); x See what happens if at decreases to 1.3 tht2=ueinlx!l.3); E For better viewing, change all angles to "degrees" thi=thi*llﬁﬂfpi)j thtl=tht1*tleﬂ!pi); tht2=tht2*£160!pi); lflllta’L'LU'll,thtlJthiJLhtZJ 'EI'} Angle of memissmn (deg;- ID ED Hec'm Problem 4'18 40 50 Maggie of Incidence (deg) 60 70 BB 9|] l‘uill1-\|I\.-ll -_-uu| IPLII \‘1IIIJIILf ' me (‘hT: [‘OL) l6, ﬁt\$t¥t¥¥¥\$\$tit*tttt*t\$*\$\$\$*¥\$¥¥t\$¥tt*tt\$ttttt\$t\$¥¥\$\$¥ I Edit Lag: BEBE Program rpara calculates the parallel reflection and transmission coefficients from the Fresnel Equation, see Hecht: p.l12 (Eqns. 4.40 and 4.41). rpara =tnt*cos(thi)-ni*costtht)} I {ni*cos(tht)+nt*cos(thil} tpara ={2*ni*cos(thili f ini‘cositht)+nt*cos{thi)i The input parameters. which can be changed in the function coiling statement, are: ni = index of refraction of the incident medium nt = index of refraction of the transmission medium The other input parameters are thi, the angle of incidence. which will be assigned a range of values inside this program; and tht, the angle of refraction, which is calculated from Snell's Law. MMMHE-Eaiaiaéﬁbé‘ei From the matlab enuironment. gou access this program hg tgping krrparat“l,“2) where you insert real numbers for itl and a2 refractive indices. Eg., Pbrparail.ﬂ,l.52). 3*********\$*\$\$***\$*************\$****\$\$**\$¥*\$*¥*¥*\$*¥\$ ISet the range on incident theta: thi=[U:piI256:pi£2]j .Snell's law is used to compute the angle of refraction. tht = asintni*sin(thi)!nt); Stalculate denominator from the Fresnel Eans. rdenom=ni*cos(tht) + nt*cos{thi); E Calculate r—para and t—para from the Fresnel Eons. 3 Hate the use of the "dot" to signal ”diuide element bg element“: rpara = (nt*cos(thi)—ni*cos(tht))./rdenom; tpara =_(2*ni*cos(thii).!rdenom; 3 Change the angles to "degrees" thi=thi*tiﬁD/Di)i tht=tht*il60fpi); EPlot rpara and tpara us. theta incident plotithi,rpara,thi,tpara. 'o'); 3 Return values to the main matlab environment in F x case gau want to see them, or process them further. Here, X please note that the arguments of coef must be COLUMNS. hence 3 the use of the "prime" sgmhol for "transpose" of a matrix. coef=[thi' tht' rpara' tparo'}; ...
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