File:Relaxation transverse magnetization.svg

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Captions

Captions

Decay of transverse magnetization after a 90° excitation pulse.

Summary

[edit]
Description
English: After a 90° excitation pulse the transverse magnetization decays with the transverse relaxation time T2, which is indicated in the graph.
Deutsch: Nach einem 90° Anregungspuls zerfällt die transversale Magnetisierung mit der Relaxationszeit T2.
Date
Source Own work
Author FbrG
SVG development
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This diagram was created with MATLAB.
 
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Source code
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MATLAB code

% general parameters

tEnd = 12000;
t = linspace(0, tEnd, 5000);

T2  = 1500; % ms

%% transverse magnetization

figure('Position', [100 100 1200 500])
hold on
axT2 = gca;
axT2.TickLabelInterpreter = 'latex';
set(axT2, 'Position', [0.2 0.1 0.7 0.8])

plot(t, exp(-t/T2), ...
    'LineWidth', 2);
plot([T2 T2], [0 exp(-1)], 'k--', ...
    'LineWidth',    1, ...
    'color',        0.4*[1 1 1])
plot([0 T2], [exp(-1) exp(-1)], 'k--', ...
    'LineWidth',    1, ...
    'color',        0.4*[1 1 1])

ylim([0 1.1])
xlim([0 1.025*tEnd])

xticks([T2 1.025*tEnd])
xticklabels({'$T_2$', 't'})

yticks([0 exp(-1) 1])
yticklabels({'$0$', '$1/\mathrm e$', '$M_0$'})

set(gca,'TickLength',[0, 0])
set(gca,'LineWidth', 1)

title('relaxation of transverse magnetization')
axT2.FontSize = 20;

saveas(gcf, 'relaxation transverse magnetization.svg')


Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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Date/TimeThumbnailDimensionsUserComment
current23:55, 4 January 2021Thumbnail for version as of 23:55, 4 January 20211,500 × 625 (93 KB)FbrG (talk | contribs)Uploaded own work with UploadWizard

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