Small signal gain for parabolic profile beams in free electron lasers

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Three new types of free electrons lasers (FEL) that are being examined in new ranges of parameter design space are: compact system, XUV systems, and high power devices. Shorter wiggler wavelengths, shorter or longer lasers, higher current, and higher quality electron beams are a few of the trends in the FEL community. The primary predictor of FEL oscillation is the small signal gain. We present 3-D small-signal calculations for more realistic parabolic-profile electron beams in the limit of moderately wide to wide to electron beams. This limit compliments the thin electron beam limit and needs be included in any analytical ... continued below

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Pages: (8 p)

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Elliott, C.J. January 1, 1991.

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Three new types of free electrons lasers (FEL) that are being examined in new ranges of parameter design space are: compact system, XUV systems, and high power devices. Shorter wiggler wavelengths, shorter or longer lasers, higher current, and higher quality electron beams are a few of the trends in the FEL community. The primary predictor of FEL oscillation is the small signal gain. We present 3-D small-signal calculations for more realistic parabolic-profile electron beams in the limit of moderately wide to wide to electron beams. This limit compliments the thin electron beam limit and needs be included in any analytical approximation that encompasses all 3-D effects. The system of equations for the optical modes are of Hamiltonian form and are solved as the analytical eigenmodes of the stationary quantum mechanical harmonic oscillator. We show the complete solution to the initial value problem in the special case of a cold, resonant electron beam, including the damped modes heretofore neglected. From this we derive the asymptotic solution of Hermite (square symmetry) or Laguerre (circular symmetry) modes. We give expressions for the mode size, the spatial growth rate and injection fraction for the dominant mode. 4 refs.

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Pages: (8 p)

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OSTI; NTIS; GPO Dep.

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  • Society of Photo-Optical Instrumentation Engineers (SPIE) meeting, San Diego, CA (United States), 21-26 Jul 1991

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  • Other: DE91016236
  • Report No.: LA-UR-91-2462
  • Report No.: CONF-9107115--19
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 5639966
  • Archival Resource Key: ark:/67531/metadc1092302

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 1991

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  • Feb. 10, 2018, 10:06 p.m.

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  • May 21, 2018, 5:40 p.m.

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Elliott, C.J. Small signal gain for parabolic profile beams in free electron lasers, article, January 1, 1991; New Mexico. (digital.library.unt.edu/ark:/67531/metadc1092302/: accessed October 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.