A Remark on the Method of Electron Beam Energy Measurement Using Laser   Light Resonance Absorption
  The problem of measuring of the electron beam energy by help of the laser light interaction with the electrons is discussed. It is shown that the orthogonal orientation of the laser beam with respect to the electron one, proposed in the present Note, may allow to perform this measurement in accordance with the physical nature of a formation of an electron quantum levels in a magnetic field. In result, the final formula, that expresses the beam energy through the strength of a magnetic field and the energy of the laser photon, gets a transparent physical meaning and do contain a less number of parameters (what may lead to an increase of the precision of the measurement). Some other sequences from this proposal, like the change of the geometry of the experimental set-up and the necessity of a new additional detector to register the products of the Compton scattering for monitoring of the beam energy measurements, are discussed also. 
N.B.Skachkov