Passively Mode-Locked Lasers

For beginners, simulations using the split-step traveling wave method and split-step Fourier method are particularly suitable. These simulation techniques represent fundamental approaches in digital signal processing, widely applicable for signal processing and analysis tasks. The split-step traveling wave method is primarily employed for analyzing linear time-invariant systems, typically implemented through iterative propagation algorithms that account for dispersion and nonlinear effects in optical fibers. The split-step Fourier method focuses on processing signal frequency characteristics, commonly implemented using FFT algorithms to efficiently handle spectral transformations between time and frequency domains. When learning these simulation methods, beginners will acquire important signal processing concepts including filtering operations (typically implemented using convolution or IIR/FIR filters), spectral analysis (using periodogram or Welch's methods), and time-domain analysis techniques. These simulation approaches are essential for digital signal processing beginners, helping them better understand and apply signal processing technologies through practical MATLAB or Python implementations involving functions like fft(), ifft(), and various differential equation solvers.