Abstract
It is shown that stimulated bremsstrahlung in the transverse undulating magnetic field alone decreases with the electron energy. The amplification of a laser wave by single-photon stimulated bremsstrahlung in an longitudinal electric wave propagating in the lasing beam direction (traveling longitudinal electric wiggler) is calculated from relativistic quantum-mechanical principles. It is found that the single-pass gain by stimulated bremsstrahlung of a lasing bunch in an envisioned two-beam wake-field cavity is sufficiently great to generate a coherent radiation in the soft X-ray region.
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