File:Relaxation longitudinal magnetization.svg
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Summary
| Description |
English: After a 90° excitation pulse the longitudinal magnetization returns to the equilibrium state. The longitudinal relaxation time T1 is indicated in the graph.
Deutsch: Nach einem 90° Anregungspuls kehrt die longitudinale Magnetisierung zurück zum Gleichgewichtszustand zurück. Die longitudinale Relaxationszeit T1 ist im markiert. |
| Date | |
| Source | Own work |
| Author | FbrG |
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MATLAB Code
% general parameters
tEnd = 12000;
t = linspace(0, tEnd, 5000);
T1 = 2000; %ms
%% Longitudinal Magnetization
figure('Position', [100 100 1200 500])
hold on
axT1 = gca;
axT1.TickLabelInterpreter = 'latex';
set(axT1, 'Position', [0.2 0.1 0.7 0.8])
plot([0 tEnd], [1 1], 'k--', ...
'LineWidth', 2, ...
'color', 0.4*[1 1 1])
plot(t, 1-exp(-t/T1), ...
'LineWidth', 2);
plot([T1 T1], [0 1-exp(-1)], 'k--', ...
'LineWidth', 1, ...
'color', 0.4*[1 1 1])
plot([0 T1], [1-exp(-1) 1-exp(-1)], 'k--', ...
'LineWidth', 1, ...
'color', 0.4*[1 1 1])
ylim([0 1.1])
xlim([0 1.025*tEnd])
xticks([T1 1.025*tEnd])
xticklabels({'$T_1$', 't'})
yticks([0 1-exp(-1) 1])
yticklabels({'$0$', '$M_{z, \mathrm{eq}}(1-1/\mathrm e)$', '$M_{z, \mathrm{eq}}$'})
set(gca,'TickLength',[0, 0])
set(gca,'LineWidth', 1)
title('relaxation of longitudinal magnetization')
axT1.FontSize = 20;
saveas(gcf, 'relaxation longitudinal magnetization.svg')
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:56, 4 January 2021 | | 1,500 × 625 (109 KB) | FbrG | Uploaded own work with UploadWizard |
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