A Source of X-Rays Using Resonance Transition Radiation

Chu, A. N.; Piestrup, M. A.; Finman, P. F.; Pantell, R. H.; Gearhart, R.

doi:10.1109/tns.1982.4335858

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Gain Calcul Ations2

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1984

1999

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Cited by 14 publications

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“…Thus, two approximate solutions for the electric field are: Substituting into (17), and taking only the plus sign in the exponential, where v = p /Imo; mo is the rest mass of the electron; p, its momentum, and f(p,v,t) the electron distribution function.…”

Section: Gain Calcul Ationsmentioning

confidence: 99%

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<title>Media Free Electron Lasers For The Production Of Vuv And X-Ray Radiation</title>

Piestrup

Finman

1984

SPIE Proceedings

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This paper considers the possible amplification in dielectric media of x -ray and vacuum ultraviolet radiation by electron beams.The medium can be a uniform dielectric resulting in stimulated Cherenkov radiation or a periodic, inhomogenious dielectric resulting in stimulated transition radiation. Two distinct geometries for resonators are considered.In one case, a simple confocal resonator is placed at an obliqueangle to the electron beam.In the other, a conical mirror is used to reflect the entire radiation cone back onto the electron beam. The small signal gain for a short interaction length is found for both these cases to vary linearly with frequency resulting in higher gain for shorter wavelengths.

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Section: Gain Calcul Ationsmentioning

confidence: 99%

“…The first term represents the electron distribution in the absence of oscillations and satisfies the Vlasov equation; Substituting into (17), and taking only the plus sign in the exponential, …”

Section: Gain Calcul Ationsmentioning

confidence: 99%