Strengthen WDM and IM/DD optical tests
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38
Functions/Theory/Dispersion/dispersion_first_notch_10km.m
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38
Functions/Theory/Dispersion/dispersion_first_notch_10km.m
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%% ------------------------------------------------------------
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% Plot: Maximum usable IM/DD bandwidth vs wavelength
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% ------------------------------------------------------------
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% Fiber and dispersion parameters
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lambda0 = 1310e-9; % [m]
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S0 = 0.08; % [ps/(nm²·km)]
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L = 10000; % [m]
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c = physconst('lightspeed');
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% Wavelength range around ZDW
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lambda_vec = linspace(1250e-9, 1350e-9, 200); % [m]
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% Compute D(lambda) using full model
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lambda_nm = lambda_vec * 1e9;
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lambda0_nm = lambda0 * 1e9;
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D_lambda = (S0/4) .* (lambda_nm - (lambda0_nm.^4) ./ (lambda_nm.^3)); % [ps/(nm·km)]
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% Convert D to [s/m²]
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D_si = D_lambda * 1e-6;
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% Compute first null frequency (f₀) for each wavelength
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f_null = sqrt(c*(0.5) ./ (abs(D_si).*lambda_vec.^2*L)); % [Hz]
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% Plot
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figure('Color','w');
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plot(lambda_vec*1e9, f_null/1e9, 'LineWidth', 1.6);
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grid on; box on;
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xlabel('Wavelength [nm]');
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ylabel('First Fading Null Frequency [GHz]');
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title(sprintf('IM/DD Bandwidth Limit vs. Wavelength (L = %.1f km)', L/1000));
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% Highlight useful bandwidth thresholds
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yline(25, '--', '25 GHz','Color',[0.4 0.4 0.4],'LabelHorizontalAlignment','left');
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yline(50, '--', '50 GHz','Color',[0.2 0.6 0.2],'LabelHorizontalAlignment','left');
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yline(100,'--', '100 GHz','Color',[0.6 0.2 0.2],'LabelHorizontalAlignment','left');
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legend('First fading notch (f_{null})','Location','best');
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