Files
imdd_silas/Functions/Theory/Dissertation/dispersion_around_zdw.m

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Matlab

%% plot_dispersion_final_for_tikz
lambda_nm = linspace(1240, 1360, 400);
% 1. Statistical & Specification Parameters
p01_L = norminv(0.01, 1317, 2);
p99_L = norminv(0.99, 1317, 2);
p01_S = norminv(0.01, 0.0872, 0.0012);
p99_S = norminv(0.99, 0.0872, 0.0012);
% Scenarios: [ZDW_min, ZDW_max], [S0_min, S0_max], [Color RGB]
scenarios = { ...
[1303, 1325], [0.075, 0.0925], [0.6510, 0.8078, 0.8902]; ... % 1. Wide Spec (Gray)
[p01_L, p99_L], [p01_S, p99_S], [0.6, 0.6, 0.6] ... % 2. 98% Stats (Blue)
};
figure('Color','w'); hold on;
hp_handles = [];
% 2. Calculate and Plot Envelopes
for k = 1:size(scenarios, 1)
Zr = scenarios{k,1};
Sr = scenarios{k,2};
col = scenarios{k,3};
[S_mesh, Z_mesh] = meshgrid(Sr, Zr);
D_all = zeros(length(lambda_nm), 4);
for i = 1:4
D_all(:,i) = (S_mesh(i)/4) .* (lambda_nm - (Z_mesh(i)^4)./(lambda_nm.^3));
end
D_min_env = min(D_all, [], 2);
D_max_env = max(D_all, [], 2);
[hl, hp] = boundedline(lambda_nm, (D_min_env+D_max_env)/2, (D_max_env-D_min_env)/2, ...
'cmap','alpha', col);
hp_handles(k) = hp;
set(hl, 'Visible', 'off');
if k == 1
D_wide_min = D_min_env;
D_wide_max = D_max_env;
% ho = outlinebounds(hl, hp);
% % Change properties
% set(ho, 'Color', 'k', ... % Make it black
% 'LineStyle', '--', ... % Make it dashed
% 'LineWidth', 1, ... % Make it thin
% 'HandleVisibility', 'off'); % Hide from legend
% Capture Wide Spec (k=1) bounds for the TikZ measurement lines
hp.FaceAlpha = 0.5;
% ho = outlinebounds(hl, hp);
% % Change properties
% set(ho, 'Color', 'k', ... % Make it black
% 'LineStyle', '--', ... % Make it dashed
% 'LineWidth', 1, ... % Make it thin
% 'HandleVisibility', 'off'); % Hide from legend
% Capture Wide Spec (k=1) bounds for the TikZ measurement lines
hp.FaceAlpha = 0.5;
else
hp.FaceAlpha = 0.8;
end
end
% 3. Nominal Line
D_nom = (0.0872/4) .* (lambda_nm - (1317^4)./(lambda_nm.^3));
h_nom = plot(lambda_nm, D_nom, 'k', 'LineWidth', 1,'LineStyle','-');
% 4. Minimal Lines for TikZ (Measuring Wide Spec)
lambda_v = 1290;
[~, idx_v] = min(abs(lambda_nm - lambda_v));
% Vertical line showing full Wide Spec dispersion range at 1290nm
line([lambda_v, lambda_v], [D_wide_min(idx_v), D_wide_max(idx_v)], 'Color', 'k', 'Tag', 'VertArrow','LineWidth', 1);
% Horizontal line showing Wide Spec ZDW range at D=0
% line([1303, 1325], [0, 0], 'Color', 'k', 'Tag', 'HorizArrow','LineWidth', 1);
% 5. Aesthetics & Legend
xlabel('Wavelength $\lambda$ [nm]', 'Interpreter', 'latex');
ylabel('$D(\lambda)$ [ps/(nm km)]', 'Interpreter', 'latex');
grid on; box on;
xlim([1240 1360]); ylim([-5 5]);
leg_labels = { ...
'$\lambda_0 \in [1303, 1325], S_0 \in [0.075, 0.0925]$', ...
'$\lambda_0 \in [1312, 1322], S_0 \in [0.084, 0.090]$', ...
'$\lambda_0 = 1317, S_0 = 0.0872$'};
legend([hp_handles, h_nom], leg_labels, 'Location', 'northwest', 'Interpreter', 'latex', 'FontSize', 8);
% Export command (uncomment to use)
% mat2tikz_improved('C:\Users\Silas\Documents\6971e0b65b380ca6d71c837f\02_IMDD_System\tikz\dispersion\dispersion_slope.tikz')