“…In general cases where nonlinear effects need to be considered, the phase shifts introduced by self‐phase modulation (SPM) and cross‐phase modulation (XPM) effects will change the self‐imaging beat length in GIMF varying the power coupling efficiency of the light from GIMF to SMF, which reveals the temporal intensity discrimination required for mode‐locking. The multimode light field distribution along the GIMF can be expressed as: [ 28–30 ] is the mode expansion coefficient, β 1 and are the propagation constants of fundamental mode and the n th excited mode respectively. When the length of GIMF meets odd integer times of the half beat length, ( m is an odd integer), the condition of the intensity discrimination can be satisfied, [ 24 ] Hence, all the modes satisfy , , , which can be written as: λ 0 is the central wavelength, L is the length of GIMF.…”