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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 6 (1999), S. 3123-3130 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The parametric instability of a predominantly transverse magnetic mode in a waveguide, partially filled with a magnetized plasma, is considered. Raman backscattering of the pump wave off the space-charge wave leads to the scattered radiation. Waveguide eigenmodes relevant to the pump wave and the excited waves are discussed. Formulas are derived for the temporal and spatial growth rates of the backscattered wave and scatterer wave with the pump wave frequency near the electron cyclotron frequency. A numerical study indicates that the phase-matching conditions permit the approach to cyclotron resonance with substantial enhancement of the growth rates. Growth rates show considerable dependence on the ratio of the plasma radius to the waveguide radius a/R and their maximum values are found to be for a/R(approximate)0.3. The growth rate found from the electromagnetic treatment was about 20% less than the one calculated with electrostatic assumption on the space-charge wave. It is also shown that the electromagnetic effect of the space-charge wave has considerable influence on the maximum growth rate near cyclotron resonance by preventing the pump wave from approaching the resonance. Possible use of the EH waveguide mode as a pump for a free-electron laser is discussed. The results of this theory are found to be comparable with the results of previous theoretical and experimental investigations. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 4070-4078 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A detailed analysis of waves in a cylindrical waveguide containing an annular plasma column is presented. Dispersion relations for four families of electromagnetic and electrostatic modes are derived and solved numerically to study the characteristics of azimuthally symmetrical and nonsymmetrical eigenmodes. The general result which is obtained for the annular plasma is reduced to be used for the thin annular and solid configurations. Figures are presented to illustrate the dependence of frequencies on the plasma radii and the cyclotron frequency. Interaction of the dispersion curves of HE waveguide modes with cyclotron modes is demonstrated graphically. The presented results may be used in the studies of free-electron type devices for generation of high-power electromagnetic radiation. © 1998 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 4 (1997), S. 2727-2735 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A linear theory for a free electron laser with a one-dimensional helical wiggler and axial magnetic field in the collective regime is presented. The configuration consists of a cylindrical waveguide with arbitrary ratio of electron beam radius a to waveguide inner radius R. Parametric decay of the wiggler pump wave, in the beam frame, into a space-charge wave and an electric–magnetic (EH) waveguide mode is analyzed in three dimensions. A nonlinear wave equation for the three-wave interaction is derived and employed to obtain a formula for the spatial growth rate of the excited eigenmodes. It was found that the relativistic treatment of the electron oscillations in the wiggler field destroys the cyclotron resonance which appears in the nonrelativistic case. Nevertheless, appreciable amplification was found. Numerical analysis is conducted to study the growth rate, radiation wavelength, and required relativistic factor as functions of axial magnetic field B0 and radius ratio a/R. The suitable value for a/R was found to be around 0.65 for our choice of parameters. © 1997 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 8 (2001), S. 4193-4201 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A linear theory for the parametric instability of a free-electron laser with a longitudinal electrostatic wiggler is presented. A space-charge wave and a predominantly transverse magnetic wave guide mode are excited when a relativistic electron beam is passed through a static spatially periodic longitudinal electric wiggler. The thick annular electron beam is contained in a cylindrical metal wave guide and an axial magnetic field of arbitrary magnitude. An expression for the wave-field components is derived and solved numerically along with the dispersion relations for the eigenmodes of a wave guide containing a magnetized annular electron beam. Effects of the variation of the beam radii, the axial magnetic field, and electron beam kinetic energy on the growth rate, efficiency, radiation wavelength, and the required pump wavelength are studied. A suitable range of parameters for the generation of millimeter wave is indicated. © 2001 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 1309-1314 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Orbital motions of magnetized and relativistic electron beams in free-electron lasers (FEL) with electromagnetic and magnetostatic wiggler are considered. The orbit and dispersion curves of an electromagnetic wiggler demonstrate the magnetoresonance when the transverse motion of electrons in the wiggler field is treated nonrelativistically. Magnetoresonance is also shown in the nonrelativistic case of the magnetostatic wiggler. It is shown that relativistic effects, due to the transverse motion of electron in the wiggler field, destroy the magnetoresonance in an electromagnetic wiggler and displace it in an electrostatic wiggler. Magnetoresonance in the growth rate of FEL in the nonrelativistic case and its destruction in the relativistic case are shown. © 2000 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3181-3188 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analysis of the azimuthally symmetrical, high-frequency eigenmodes of a cylindrical metallic waveguide partially filled with a magnetized plasma is presented. Equations that permit calculation of the dispersion curves for four families of electromagnetic and electrostatic modes are derived. Numerical solutions are presented to facilitate the development of devices for generation of high-power electromagnetic radiation, charged particle acceleration, and other applications of plasma waveguides. The dependence of the cutoff frequencies, and dispersion curves of various modes on the ratio of the plasma radius a to the waveguide radius R is studied in detail. Space-charge modes are found to be strongly dependent on the radius ratio a/R. The coupling of the dispersion curves of different modes and the variation of the cutoff frequencies of HE waveguide and cyclotron modes with cyclotron frequency are illustrated for the partially filled waveguide.
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 6 (1999), S. 3778-3787 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analysis of the high-frequency eigenmodes of a coaxial wave guide containing a magnetized annular plasma column is presented. A transcendental equation is derived from the boundary conditions in the form of an eighth-order determinant equated to zero. Simultaneous solution of this determinantal equation and a polynomial equation derived from the wave equation yields the dispersion relations for the eigenmodes. By reduction of the order of the determinant the appropriate transcendental equation is easily obtained for some special cases, e.g., partially filled coaxial wave guide. The electrostatic treatment of a coaxial cylindrical wave guide is also presented. The corresponding transcendental equation is reduced to some special cases, e.g., conventional wave guide containing an annular plasma column under electrostatic approximation. Numerical solutions are obtained for some azimuthally symmetric EH (perturbed TM) and HE (perturbed TE) wave guide modes, cyclotron modes, and space-charge modes. A strong dependence of the frequencies of these electromagnetic–electrostatic waves on the radii of the coaxial wave guide and the plasma column is revealed. © 1999 American Institute of Physics.
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 2818-2820 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Injection of electrons into the one-dimensional magnetostatic wiggler is studied numerically. Considerable reduction in the amplitude of oscillation about the steady-state orbits is found when the axial magnetic field is changed adiabatically. © 1998 American Institute of Physics.
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  • 9
    Publication Date: 2010-10-01
    Print ISSN: 1070-664X
    Electronic ISSN: 1089-7674
    Topics: Physics
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  • 10
    Publication Date: 2008-01-01
    Print ISSN: 1070-664X
    Electronic ISSN: 1089-7674
    Topics: Physics
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