Dynamics of h-shape narrow bandwidth dissipative soliton in Yb-doped fiber laser

•The dynamics of h-type dissipative solitons is studied by numerical simulations and dispersive Fourier transformation.•The 3-dB bandwidth of the spectrum can be compressed from 0.47 nm to 0.049 nm.•The experimental and theoretical results enrich the study of the dynamics of narrow bandwidth solitons. We demonstrate a narrow bandwidth mode-locked ytterbium-doped fiber laser based on the carboxyl-functionalized graphene oxide (GO-COOH). In the combination of GO-COOH and intracavity filtering effects, the narrow bandwidth spectrum exhibits an h-shape at 1060.76 nm central wavelength with a 3-dB bandwidth of 0.47 nm. Furthermore, the 3-dB bandwidth can be compressed to 0.049 nm by adjusting the polarization controller. The formation of h-shape dissipative soliton has been investigated by applying the dispersive Fourier transformation and numerical simulation. The h-shape narrow bandwidth dissipative soliton we demonstrated provides a new insight for investigating the evolution dynamics of solitons with special shapes.