With the development of photocathode rf electron gun, electrons with high-brightness and mono-energy can be obtained easily. By numerically solving the relativistic equations of motion of an electron generated from th...With the development of photocathode rf electron gun, electrons with high-brightness and mono-energy can be obtained easily. By numerically solving the relativistic equations of motion of an electron generated from this facility in laser fields modelled by a circular polarized Gaussian laser pulse, we find the electron can obtain high energy gain from the laser pulse. The corresponding acceleration distance for this electron driven by the ascending part of the laser pulse is much longer than the Rayleigh length, and the light amplitude experienced on the electron is very weak when the laser pulse overtakes the electron. The electron is accelerated effectively and the deceleration can be neglected.For intensities around 1019 W·μm2/cm2,an electron's energy gain near 0.1 GeV can be realized when its initial energy is 4.5 MeV, and the final velocity of the energetic electron is parallel with the propagation axis. The energy gain can be up to 1 GeV if the intensity is about 1021 W·μm2/cm2.The final energy gain of the electron as a function of its initial conditions and the parameters of the laser beam has also been discussed.展开更多
In this paper, the general Marcinkiewicz integral operator μ Ω,α on the H p Sobolev spaces under the proper condition of kernel Ω(x′) is considered. It is obtained that μ Ω,α is bounded from H p ...In this paper, the general Marcinkiewicz integral operator μ Ω,α on the H p Sobolev spaces under the proper condition of kernel Ω(x′) is considered. It is obtained that μ Ω,α is bounded from H p α to L p for some 0<p≤1.展开更多
基金中国科学院特别支持项目，国家自然科学基金，National High-Technology ICF Committee of China，the State Key Basic Research Special Foundation
文摘With the development of photocathode rf electron gun, electrons with high-brightness and mono-energy can be obtained easily. By numerically solving the relativistic equations of motion of an electron generated from this facility in laser fields modelled by a circular polarized Gaussian laser pulse, we find the electron can obtain high energy gain from the laser pulse. The corresponding acceleration distance for this electron driven by the ascending part of the laser pulse is much longer than the Rayleigh length, and the light amplitude experienced on the electron is very weak when the laser pulse overtakes the electron. The electron is accelerated effectively and the deceleration can be neglected.For intensities around 1019 W·μm2/cm2,an electron's energy gain near 0.1 GeV can be realized when its initial energy is 4.5 MeV, and the final velocity of the energetic electron is parallel with the propagation axis. The energy gain can be up to 1 GeV if the intensity is about 1021 W·μm2/cm2.The final energy gain of the electron as a function of its initial conditions and the parameters of the laser beam has also been discussed.
基金Jiang and Jia were supported in part by Education Departmentof Zhejiang province
文摘In this paper, the general Marcinkiewicz integral operator μ Ω,α on the H p Sobolev spaces under the proper condition of kernel Ω(x′) is considered. It is obtained that μ Ω,α is bounded from H p α to L p for some 0<p≤1.
