Paper | Title | Page |
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MOOA01 | Stochastic Properties of Self-Amplified Spontaneous-Emission | 1 |
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We discuss the chaotic behavior of the time evolution of the amplitude and phase of the output radiation from a self-amplified spontaneous-emission free-electron laser. |
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MOOA02 | Statistical Theory of the SASE FEL Based on the Two-particle Correlation Function Equation | 8 |
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The startup from noise problem in SASE FELs is usually treated in linear approximation. In this case amplification of initial density fluctuations may be calculated and averaging over initial conditions may be fulfilled explicitly. In general nonlinear case the direct averaging is not applicable. During last years we developed the approach based on the BBGKY hierarchy for the n-particle distribution functions. The interaction of particles in FEL is time-dependent (retarded). Nevertheless, using special time-coordinate transformation, it is possible to make interaction “time-independent” and then to write down the BBGKI equations. Similar to plasma physics, the equations may be truncated after the second one (for the two-particle correlation function). Using this approach we consider several particular cases which illustrate some peculiar features of the SASE FEL operation. |
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