The ion channel free-electron laser with varying betatron amplitude

The ion-channel laser (ICL) is an ultra-compact version of the free-electron laser (FEL), with the undulator replaced by an ion channel. Previous studies of the ICL assumed transverse momentum amplitudes which were unrealistically small for experiments. Here we show that this restriction can be removed by correctly taking into account the dependence of the resonance between oscillations and emitted field on the betatron amplitude, which must be treated as variable. The ICL model with this essential addition is described using the well-known formalism for the FEL. Analysis of the resulting scaled equations shows a realistic prospect of building a compact ICL source for fundamental wavelengths down to UV, and harmonics potentially extending to x-rays. The gain parameter ρ can attain values as high as 0.03, which permits driving an ICL with electron bunches with realistic emittance.

[1]  Andrew M. Sessler,et al.  Ion-channel laser , 1990 .

[2]  S. M. Wiggins,et al.  Low emittance, high brilliance relativistic electron beams from a laser-plasma accelerator. , 2010, Physical review letters.

[3]  Claudio Pellegrini,et al.  Collective instabilities and high-gain regime in a free electron laser , 1984 .

[4]  Piovella.  Transient regime and superradiance in a short-pulse free-electron-laser oscillator. , 1997, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  B. McNeil,et al.  X-ray free-electron lasers , 2010 .

[6]  P. P. Rajeev,et al.  Gamma-rays from harmonically resonant betatron oscillations in a plasma wake , 2011 .

[7]  The Superradiant Regime Of A FEL: Analytical And Numerical Results , 1989 .

[8]  E. Esarey,et al.  Synchrotron radiation from electron beams in plasma-focusing channels. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Claudio Pellegrini,et al.  Collective instability of a free electron laser including space charge and harmonics , 1985 .

[10]  John M. Dawson,et al.  On the amplification mechanism of the ion-channel laser , 1990 .

[11]  John M. J. Madey,et al.  First Operation of a Free-Electron Laser , 1977 .

[12]  John R. Cary,et al.  Laser-driven coherent betatron oscillation in a laser-wakefield cavity. , 2008, Physical review letters.

[13]  E. Snitzer.  Cylindrical Dielectric Waveguide Modes , 1961 .

[14]  John M. J. Madey,et al.  Stimulated Emission of Bremsstrahlung in a Periodic Magnetic Field , 1971 .

[15]  Alexander Pukhov,et al.  The bubble regime of laser–plasma acceleration: monoenergetic electrons and the scalability , 2004, physics/0409089.

[16]  Piovella,et al.  Analytical theory of short-pulse free-electron laser oscillators. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  R. Kirian.  Structure determination through correlated fluctuations in x-ray scattering , 2012 .

[18]  Thomas C. Katsouleas,et al.  Unified theory and comparative study of cyclotron masers, ion‐channel lasers, and free electron lasers , 1991 .

[19]  Dino A. Jaroszynski,et al.  Propagation of a weakly nonlinear laser pulse in a curved plasma channel , 2007 .

[20]  R. Bonifacio,et al.  The superradiant regime of a free electron laser , 1985 .

[21]  W. A. Gillespie,et al.  High quality electron beams from a laser wakefield accelerator , 2010, CLEO/QELS: 2010 Laser Science to Photonic Applications.

[22]  R. Bonifacio,et al.  Slippage and superradiance in the high-gain FEL: Linear theory☆ , 1988 .

[23]  Oepts,et al.  Experimental observation of limit-cycle oscillations in a short-pulse free-electron laser. , 1993, Physical review letters.

[24]  J. Rosenzweig,et al.  Ultracold electron bunch generation via plasma photocathode emission and acceleration in a beam-driven plasma blowout. , 2012, Physical review letters.