  The synchrotron mechanism has the radiation limit of about 160 MeV, and it is
not possible to explain the very high energy (VHE) photons that are emitted by
high-energy objects. Inverse Compton scattering as a traditional process is
applied for the explanation of the VHE emission. In this paper, jitter
radiation, the relativistic electron radiation in the random and small-scale
magnetic field, is proposed to be a possible mechanism to produce VHE photons.
The jitter radiation frequency is associated with the perturbation field. The
spectral index of the jitter radiation is dominated by the kinetic turbulence.
We utilize the jitter radiation to explain the gamma-ray burst (GRB 190114C and
GRB 180720B) VHE emissions that were recently detected by the Imaging
Atmospheric Cherenkov Telescopes. We suggest that this mechanism can be applied
to other kinds of VHE sources.
