Particle acceleration to high energies and amplification of coherent radiation by electromagnetic interactions in plasmas

An Autoresonance Laser Acceleration scheme permits the acceleration of charged particles, moving along an axisymmetric magnetic field, in the Doppler-shifted cyclotron resonance with a rotating electromagnetic field. The radiation losses in a TeV accelerator are negligible. An Nd:glass laser with an intensify of 1018 W/cm2 is capable of accelerating a high current electron beam from 0.25 to 2.5 GeV over 1 m along a 100 kG guide magnetic field. Significant exponential amplification with a gain factor of several tenths of cm-1 for strong milimeter radiation, is obtained in a plasma accelerator with MeV electron beams with current densities of several kA/cm2. In electron-positron plasmas the acceleration is based on a self-sustained cyclotron resonance between the particles and a homogeneous, luminous, linearly-polarized laser radiation, propagating along an axial magnetic field. An electron (positron) which initially satisfies the cyclotron resonance condition, will be accelerated asymptotically to an energy of 0.82[(Bz(100 kG/λ (10μm)1/2 αx z(m)]2/3 GeV at a distance z along a magnetic field Bz, by using a linearly-polarized laser field with amplitude αx (eE/mωc) and wavelength λ