以下是一个Matlab代码示例,用于仿真飞秒光脉冲在光纤中的光谱展宽随光纤长度和输入光功率变化的二维关系:
- % Parameters
- tau = 100e-15; % Pulse width in seconds
- lambda0 = 1550e-9; % Central wavelength in meters
- fiber_length = 10e-2; % Fiber length in meters
- % Generate frequency grid
- c = 3e8; % Speed of light in vacuum
- n = 2^12; % Number of points in frequency domain
- df = c/(2*fiber_length); % Frequency resolution
- f = (-n/2:n/2-1)*df; % Frequency grid
- % Define input pulse in time domain
- t = (-1000:1000)*1e-15; % Time vector for pulse
- P_in = 1; % Input power in Watts
- E_in = sqrt(P_in) * exp(-t.^2/(2*tau^2)); % Input electric field in time domain
- % Fourier transform of input pulse
- E_in_f = fftshift(fft(E_in));
- % Initialize arrays to store results
- spectral_width = zeros(size(f));
- % Loop over different input powers and fiber lengths
- for P_in = [0.5, 1, 1.5] % Different input powers
- for fiber_length = [5e-2, 10e-2, 15e-2] % Different fiber lengths
-
- % Propagation in fiber (example: linear propagation)
- E_out_f = E_in_f .* exp(-1i*2*pi*f.*fiber_length/(c/lambda0));
- E_out = ifft(ifftshift(E_out_f));
-
- % Calculate spectral width
- S = abs(fftshift(fft(E_out))).^2;
- spectral_width = sqrt(sum(S .* (f - mean(f)).^2)/sum(S));
-
- % Plot results or store them for further analysis
- disp(['Input Power: ', num2str(P_in), 'W, Fiber Length: ', num2str(fiber_length), 'm, Spectral Width: ', num2str(spectral_width)]);
- end
- end
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请注意,这只是一个简单的示例代码,实际情况可能需要更复杂的模型和处理过程,具体根据您的需求进行调整和优化。
--- 光学专家Gpt |