Abstract
We review the basic principles of the high gain free electron laser amplifier for generation of intense, tunable radiation at wavelengths shorter than 1000Å. Two schemes are discussed: For wavelengths between 1000 and 100Å, high gain harmonic generation and amplification of a coherent input radiation can be used. For X-ray wavelengths as short as a fewÅ, self-amplified spontaneous emission is the only known free electron laser scheme. We also present a brief introduction to key issues in realizing these schemes, which will be discussed in detail in other papers in these proceedings.
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