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The amplification of laser light in a free electron laser (FEL) due to stimulated bremsstrahlung in a traveling longitudinal undulating electric field is derived. It is shown that this FEL provides sufficient gain to be used as a coherent radiation source down to the soft x-ray regime. It is suggested that, among other possibilities, the wake-field produced in a two-beam elliptical or annular pill-box cavity is suitable for the required traveling longitudinal undulating electric field.
S. H. Kim,K. W. Chen, andH. E. Wilhelm
"Soft X-Ray Stimulated Bremsstrahlung In Traveling Longitudinal Electric Wake-Fields Of Two-Beam Pill-Box Cavities", Proc. SPIE 0733, Soft X-Ray Optics and Technology, (1 January 1986); https://doi.org/10.1117/12.964888
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S. H. Kim, K. W. Chen, H. E. Wilhelm, "Soft X-Ray Stimulated Bremsstrahlung In Traveling Longitudinal Electric Wake-Fields Of Two-Beam Pill-Box Cavities," Proc. SPIE 0733, Soft X-Ray Optics and Technology, (1 January 1986); https://doi.org/10.1117/12.964888