File:Fresnel reflection.svg
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![File:Fresnel reflection.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Fresnel_reflection.svg/469px-Fresnel_reflection.svg.png?20110921122602)
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[edit]DescriptionFresnel reflection.svg |
English: Plot of the reflection coefficient of light as function of incidence angle for the surface of a dielectric with refractive index 1.5. |
Date | |
Source | Own work |
Author | Ulflund |
This plot was created in matlab with the following code:
ti = 0:.01:pi/2; %incidence angle n1 = 1; n2 = 1.5; %refractive indices tt1 = asin(n1/n2*sin(ti)); %transmission angle tt2 = asin(n2/n1*sin(ti)); %transmission angle from n2 to n1 Rs(1,:) = (sin(ti-tt1)./sin(ti+tt1)).^2; Rp(1,:) = (tan(ti-tt1)./tan(ti+tt1)).^2; Rs(2,:) = abs(sin(ti-tt2)./sin(ti+tt2)).^2; Rp(2,:) = abs(tan(ti-tt2)./tan(ti+tt2)).^2; figure(1); clf; for fig = 1:2 %subplot(1,2,fig); axes('Position',[.07+.48*(fig-1) .14 .42 .77]) plot(ti*180/pi,100*Rs(fig,:),'linewidth',2) hold on; plot(ti*180/pi,100*Rp(fig,:),'r','linewidth',2) xlim([0 90]); ylim([0 100]); set(gca,'XTick',0:10:90); set(gca,'YTick',0:10:100); %set(gca,'xminortick','on'); xlabel('Angle of incidence $\theta_i$ ($^\circ$)','interpreter','latex'); set(gca,'fontname','times','fontsize',8); legend({'$R_\textrm{s}$','$R_\textrm{p}$'},'interpreter','latex',... 'location','NW','fontsize',10); legend boxoff if fig == 1 ylabel('Reflection coefficient (\%)','interpreter','latex','fontsize',10); title('$n_1=1,\; n_2=1.5$','interpreter','latex','fontsize',10); hold on; b = atan(n2/n1)*180/pi; plot([1 1]*b,[0 100],'linestyle',':','color','black','linewidth',1); text(b-1,70,'Brewsters angle','interpreter','latex',... 'Rotation',90,'VerticalAlignment','bottom',... 'HorizontalAlignment','center','fontsize',10) else title('$n_1=1.5,\; n_2=1$','interpreter','latex','fontsize',10); hold on; c = asin(n1/n2)*180/pi; plot([1 1]*c,[0 100],'linestyle',':','color','black','linewidth',1); text(c+2,70,'Critical angle','interpreter','latex',... 'Rotation',90,'VerticalAlignment','top',... 'HorizontalAlignment','center','fontsize',10) text((90+c)/2,40,[' Range of total' char(10) 'internal reflection'],'interpreter','latex',... 'HorizontalAlignment','center','fontsize',10) end end
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:26, 21 September 2011 | ![]() | 469 × 223 (176 KB) | BenFrantzDale~commonswiki (talk | contribs) | Toned down #FF000 and #0000FF to #AA3333 and #3333AA respectively. |
19:39, 20 September 2011 | ![]() | 469 × 223 (176 KB) | Ulflund (talk | contribs) | Text converted to outline to stop the font from being changed. | |
19:31, 20 September 2011 | ![]() | 469 × 223 (51 KB) | Ulflund (talk | contribs) | Different font settings | |
19:24, 20 September 2011 | ![]() | 469 × 223 (27 KB) | Ulflund (talk | contribs) |
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