| Date 08/09/2010 |
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| Script S1_2_10.m | |||
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%Plane and spherical surfaces %============================================== % %============================================== %focal length of the system function of d %see the problem 1.2.7 %============================================== %the radius, in cm, of the concave mirror R=-30; %its focal length f=R/2 %the refractive index in the air n=1; %the refractive index of the material M np=1.55; %a range of the distance d between 0 and -30, in cm d=linspace(-0.01,-30,15); %the object distance from the plane surface of M z1=-100; %the image due to the refracting surface M z1p=z1*np/n %that becomes virtual object for the mirror %with a distance z2 from the mirror z2=z1p+d %the corresponding distance of the image z2p=(f*z2)./(-f+z2) %we put z=z1 %and zp=z2p %to find the focal length of the system fnew=(z*zp)./(z+zp) %plot of the focal length of the system varying d plot(d,fnew,'ro-'),grid on title('focal length of the system function of d') % %============================================== |
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