The cubic quintic Ginzberg Landau equation (CQGLE) can undoubtedly be used to describe a vast number of systems such as passively mode-locked lasers with fast saturable absorbers, parametric oscillators, wide aperture lasers, nonlinear optical transmission lines, and nonlinear cavities with the external pump [1–3]. In the CQGLE model, spectral filter transmission can be described by a quadratic term which leads to a Gaussian response. In the reality, the spectral filtering effect in mode-locked fiber lasers is a combination of gain spectrum and physical spectral filtering element inserted in the cavity, and the gain spectrum can exhibit non-uniform features. Therefore, to represent this condition, it is necessary to include higher-order terms while defining the profile of the spectral filter. The addition of a fourth-order spectral filtering term in the CQGLE model converts it into the complex Swift Hohenberg equation (CSHE).
Set citation alerts for the article
Please enter your email address