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- W1979286236 abstract "Use is made of the Vlasov–Maxwell equations to investigate detailed properties of the sideband instability for a helical wiggler free-electron laser with wiggler wavelength λw=2π/k0=const and normalized wiggler amplitude aw=eB̂w/mc2k0=const. The model describes the nonlinear evolution of a right circularly polarized primary electromagnetic wave with frequency ωs, wave number ks, and slowly varying amplitude âs(z,t) and phase δs(z,t) (eikonal approximation). The coupled Vlasov and field-evolution equations are analyzed in the ponderomotive frame (‘‘primed’’ variables) moving with velocity vp=ωs/(ks+k0) relative to the laboratory. Detailed properties of the sideband instability are investigated for small-amplitude perturbations about a quasi-steady state characterized by an equilibrium electron distribution f0(γ′0) and a primary electromagnetic wave with constant amplitude â0s=const (independent of z′ and t′) and slowly varying phase δ0s(z′). A formal dispersion relation is derived for perturbations about a general equilibrium distribution f0(γ0) that may include both trapped and untrapped electrons. For the case where only trapped electrons are present, the dispersion relation is reduced to a simple analytical form. Detailed properties of the sideband instability are investigated for the case where the trapped electrons uniformly populate the ponderomotive potential up to an energy γ′M≤γ̂+, where γ̂′+ is the energy at the separatrix. Analysis of the dispersion relation shows that the maximum energy of the trapped-electron population (γM) significantly affects detailed stability properties in the strong-pump and intermediate-pump regimes." @default.
- W1979286236 created "2016-06-24" @default.
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- W1979286236 date "1990-10-01" @default.
- W1979286236 modified "2023-09-27" @default.
- W1979286236 title "Influence of the trapped-electron distribution on the sideband instability in a helical wiggler free-electron laser" @default.
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- W1979286236 doi "https://doi.org/10.1063/1.859511" @default.
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