File:Fresnel reflection.svg
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Original file (SVG file, nominally 469 × 223 pixels, file size: 176 KB)
This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.
Summary
| 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
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:26, 21 September 2011 | 469 × 223 (176 KB) | wikimediacommons>BenFrantzDale~commonswiki | Toned down #FF000 and #0000FF to #AA3333 and #3333AA respectively. |
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