提出了一种由一对抛物面构成的超腔的技术方案,计算了超腔汇聚点处的总光子密度。利用康普顿散射理论对基于抛物面超腔的激光同步辐射及其光子产额进行了讨论和计算。结果表明:当超腔镜面的反射率等于99.99%时,在超腔碰撞点处的总光子数密度大约是初始激光束在碰撞点处光子数密度的5 000倍,对应康普顿垂直散射的光子产额大约是电子束与初始激光束在碰撞点处发生康普顿垂直散射时的5 000倍。 A technical scheme of super cavities consisting of a pair of paraboloid surfaces is proposed, and the total photon density at the supercavity convergence point is calculated. The Compton scattering theory is used to discuss and calculate the laser synchrotron radiation and its photon yield based on the parabolic hyper cavity. The results show that when the reflectivity of the hyper-specular mirror is equal to 99.99%, the total photon density at the supercavity collision point is about 5000 times that of the initial laser beam at the collision point. Corresponding to the vertical scattering of Compton The photon yield is about 50,000 times the normal incidence of Compton scattering at the collision point between the electron beam and the initial laser beam.