Stimulated emission from relativistic electrons passing through a spatially periodic transverse magnetic field

Kroll, N.; McMullin, Wayne A.

doi:10.1103/physreva.17.300

Cited by 279 publications

(84 citation statements)

References 8 publications

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“…The first example studied in §9.3 corresponded to System C (Yo = 7.6, Oc = 0.363, C = 0.0157), which for = 0.04 satisfies (104), ( This regime has been studied by Kroll and McMullin (1978), and more recently by Dimos and Davidson (1985). Using the CDR (20), the latter authors obtained an approximate expression for the growth rate for the case of a Gaussian distribution, i.e., …”

Section: Numerical Comparison Of Waterbag and Gaussian Growth Rate Cumentioning

confidence: 99%

Compton and Raman free electron laser stability properties for a warm electron beam propagating through a helical magnetic wiggler

1987

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This paper gives an extensive analytical and numerical characterization of the growth rate curves (imaginary frequency versus wavenumber) derived from the free electron laser dispersion relation for a warm relativistic electron beam propagating through a constantamplitude helical magnetic wiggler field. The electron beam is treated as infinite in transverse extent. A detailed mathematical analysis is given of the exact dispersion relation and its Compton approximation for the case of a waterbag equilibrium distribution function (uniform distribution in axial momentum pz). Applicability of the waterbag results to the case of a Gaussian equilibrium distribution in p. is tested numerically. One result of the waterbag analysis is a set of validity conditions for the Compton approximation. Numerical and analytical results indicate that these conditions are applicable to the Gaussian case far outside the parameter range where the individual waterbag and corresponding Gaussian growth rate curves agree. 9)

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Section: Numerical Comparison Of Waterbag and Gaussian Growth Rate Cumentioning

confidence: 99%

Compton and Raman free electron laser stability properties for a warm electron beam propagating through a helical magnetic wiggler

1987

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“…,<<(z+N)Q, 1 , small differences in k, 1 have little effect on the growth rate. The instability growth rates are in all cases highest at the "merging point" Z=Z*, k =k*, y,=y*.…”

Section: Ro-aomentioning

confidence: 99%

Generation of electromagnetic radiation from a drifting and rotating electron ring in a rippled magnetic field

Yin

Runjie

Bekefi

1987

IEEE J. Quantum Electron.

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“…The theory of high-gain single-pass free-electron lasers has been developing since the late 1970's [6][7][8][9]. Because SASE starts from the shot noise in the electron beam, a proper theory requires a statistical treatment of the output radiation [10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Statistical correlations and intensity spiking in the SASE FEL

Krinsky

Gluckstern

2002

Nuclear Instruments and Methods in Physics Research Section A:

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In the linear regime before saturation, we describe the statistical correlations in the narrow band chaotic output of the SASE FEL. At a fixed position along the undulator axis, we derive joint probability distributions for the intensity in the output pulse to have values 1 I and 2 I at times 1 t and 2 t , and for the spectral intensity to have values ~1I and ~2I at frequencies 1 ω and 2 ω . Probability distributions for the peak values of intensity in the time and frequency domains are also determined.

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Stimulated emission from relativistic electrons passing through a spatially periodic transverse magnetic field

Cited by 279 publications

References 8 publications

Compton and Raman free electron laser stability properties for a warm electron beam propagating through a helical magnetic wiggler

Compton and Raman free electron laser stability properties for a warm electron beam propagating through a helical magnetic wiggler

Generation of electromagnetic radiation from a drifting and rotating electron ring in a rippled magnetic field

Statistical correlations and intensity spiking in the SASE FEL

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