Transient Self-Amplified Cerenkov Radiation with a Short Pulse Electron Beam

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An analytic and numerical examination of the slow wave Cerenkov free electron maser is presented. We consider the steady state amplifier configuration as well as operation in the selfamplified spontaneous emission (SASE) regime. The linear theory is extended to include electron beams that have a parabolic radial density inhomogeneity. Closed form solutions for the dispersion relation and modal structure of the electromagnetic field are determined in this inhomogeneous case. To determine the steady state response, a macro-particle approach is used to develop a set of coupled nonlinear ordinary differential equations for the amplitude and phase of the electromagnetic wave, which ... continued below

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Poole, B R; Blackfield, D T & Camacho, J F January 22, 2009.

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An analytic and numerical examination of the slow wave Cerenkov free electron maser is presented. We consider the steady state amplifier configuration as well as operation in the selfamplified spontaneous emission (SASE) regime. The linear theory is extended to include electron beams that have a parabolic radial density inhomogeneity. Closed form solutions for the dispersion relation and modal structure of the electromagnetic field are determined in this inhomogeneous case. To determine the steady state response, a macro-particle approach is used to develop a set of coupled nonlinear ordinary differential equations for the amplitude and phase of the electromagnetic wave, which are solved in conjunction with the particle dynamical equations to determine the response when the system is driven as an amplifier with a time harmonic source. We then consider the case in which a fast rise time electron beam is injected into a dielectric loaded waveguide. In this case, radiation is generated by SASE, with the instability seeded by the leading edge of the electron beam. A pulse of radiation is produced, slipping behind the leading edge of the beam due to the disparity between the group velocity of the radiation and the beam velocity. Short pulses of microwave radiation are generated in the SASE regime and are investigated using particle-in-cell (PIC) simulations. The nonlinear dynamics are significantly more complicated in the transient SASE regime when compared with the steady state amplifier model due to the slippage of the radiation with respect to the beam. As strong self-bunching of the electron beam develops due to SASE, short pulses of superradiant emission develop with peak powers significantly larger than the predicted saturated power based on the steady state amplifier model. As these superradiant pulses grow, their pulse length decreases and forms a series of soliton-like pulses. Comparisons between the linear theory, macro-particle model, and PIC simulations are made in the appropriate regimes.

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PDF-file: 36 pages; size: 0.5 Mbytes

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  • Journal Name: Physical Review Special Topics Accelerators and Beams, vol. 12, no. 8, August 24, 2009, pp. 080705-1 -080705-14; Journal Volume: 12; Journal Issue: 8

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  • Report No.: LLNL-JRNL-410307
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1019062
  • Archival Resource Key: ark:/67531/metadc831905

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  • January 22, 2009

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • Dec. 9, 2016, 10:29 p.m.

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Poole, B R; Blackfield, D T & Camacho, J F. Transient Self-Amplified Cerenkov Radiation with a Short Pulse Electron Beam, article, January 22, 2009; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc831905/: accessed June 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.