A dynamic diffraction theory of x-ray emission by relativistic electrons crossing a finite-thickness multilayer mirror (e.g., alternating layers of W and B4C) is developed, taking into account both diffracted transition and parametric radiation mechanisms. Simple formulas describing the characteristics of the total emission from either thin nonabsorbing or thick absorbing multilayers are derived. These formulas show that a multilayer radiator can be brighter and more efficient than crystalline ones. Good agreement between theory and prior experimental results is also shown. Thus the theory and its experimental verification demonstrate the possibility of a tunable quasimonochromatic x-ray source whose efficiency can be larger than that of other novel x-ray sources.
Recently the radiation of relativistic electrons and positrons, arising under channeling in single crystals, was successfully observed /1, 2/. The radiation occupied the hard X-ray region at the GeV energy of channeled particles with the peak spectral density about two o r d e r s of magnitude l a r g e r than the spectral density in the case of bremsstrahlung from the amorphous target.Such an X-ray source is of a great interest for irradiation technology of materials and solid state physics.
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