Abstract
In order to improve the laser Corpton γ-ray, the cavity scheme was proposed to increase of interaction lengthof laser and electrons. And nondiffracting laser beam, J0 Bessel beam, is suggested to take the place ofconventional Gaussian beam to increase the flux of scattered photons through maintaining an efficient interac-tion of electron and laser beam in a long distance. Then, we proposed a Bessel beam cavity to produce andstore the J0 Bessel beam, and analyzed the propagation features and intensity distribution of the J0 Bessel beaminside the cavity. The flux of Compton scattering gamma-ray is estirated the oretically and the results revealthat a significant growth are accomplished with the use of J0 Bessel laser beamcontrasting with the use of Gaussian laser beam. The polarization of gamma-ray is also reported.