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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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L C L S C O N C E P T U A L D E S I G N R E P O R T<br />

are the transverse and longitudinal emittance respectively, N e is the number of electrons, and λ c<br />

is the Compton wavelength. This condition is well satisfied for <strong>LCLS</strong> parameters.<br />

Quantum corrections to the classical theory become important when the electron beam<br />

becomes sensitive to the recoil due to the emission or absorption of discrete photons. The recoil<br />

will be small provided the photon energy is much less than the energy emitted per electron at<br />

saturation ω

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