Effects of Finite Larmor Radius on Small Signal Free Electron Laser With a Staggered Undulator

In this article, the theory of the spectral properties of undulator radiation and the free electron laser (FEL) gain in staggered undulator has been discussed. The important contributions of the pole-to-pole gap parameter and the finite larmor radius effects of the electron are included in the analysis. A finite electron larmor radius of the electron introduces azimuthal bunching through cyclotron motions and the axial electron bunching degrades. The interaction of the electron and the electromagnetic wave is driven away from the resonance and causes reduction in the FEL gain. An estimate of the gain reduction is presented through an analytical calculation.

[1]  G. Mishra,et al.  Effects of Staggered Undulator Magnetic Field Contributions on Inverse Free Electron Laser Accelerator , 2021, IEEE Transactions on Plasma Science.

[2]  G. Mishra,et al.  Bi-period undulator radiation and small signal free electron laser gain , 2020 .

[3]  M. Calvi,et al.  A GdBCO bulk staggered array undulator , 2019, Superconductor Science and Technology.

[4]  H. Loos,et al.  X-ray free electron laser tuning for variable-gap undulators , 2019, Physical Review Accelerators and Beams.

[5]  Q. Jia,et al.  A new modified staggered array undulator , 2019, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment.

[6]  N. Vinokurov,et al.  Developing an Undulator with a Variable Period for the First Stage of the Novosibirsk Free Electron Laser , 2019, Bulletin of the Russian Academy of Sciences: Physics.

[7]  N. Mahdizadeh Efficiency enhancement in a two-stream free electron laser with a helical wiggler , 2019, Optik.

[8]  M. Tischer,et al.  Variable Period Undulator with Tunable Polarization , 2018 .

[9]  Giuseppe Dattoli,et al.  Free Electron coherent sources: From microwave to X-rays , 2018 .

[10]  I. Chen,et al.  Design Improvement of a Staggered YBCO Undulator , 2018, IEEE Transactions on Applied Superconductivity.

[11]  Takashi Tanaka Current status and future perspectives of accelerator-based x-ray light sources , 2017 .

[12]  G. Mishra,et al.  Spontaneous emission and spectral properties of radiation by relativistic electrons in a gyro-klystron and optical-klystron undulator. , 2016, Journal of synchrotron radiation.

[13]  O. Shevchenko,et al.  Modeling and designing of variable-period and variable-pole-number undulator , 2016 .

[14]  C. Behrens,et al.  High-intensity double-pulse X-ray free-electron laser , 2015, Nature Communications.

[15]  M. Jeon,et al.  Variable-period permanent-magnet helical undulator , 2014 .

[16]  I. Chen,et al.  Feasibility and Features of a Staggered Undulator Constructed With HTS YBCO Bulks , 2014, IEEE Transactions on Applied Superconductivity.

[17]  S. Saviz,et al.  Gain enhancement in two-stream free electron laser with a planar wiggler and an axial guide magnetic field , 2012 .

[18]  Takashi Tanaka,et al.  Composite period undulator to improve the wavelength tunability of free electron lasers , 2011 .

[19]  O. Shevchenko,et al.  VARIABLE-PERIOD PERMANENT MAGNET UNDULATORS , 2011 .

[20]  C. Hwang,et al.  Design of a helical staggered undulator , 2010 .

[21]  C. Chen,et al.  Design of Staggered Undulators With Dual Magnet Periods , 2009, IEEE Transactions on Applied Superconductivity.

[22]  C. Chang,et al.  Designing a multi-staggered array undulator , 2004, IEEE Transactions on Applied Superconductivity.

[23]  G. Luo,et al.  Design of a revolving helical staggered undulator , 2003, Proceedings of the 2003 Particle Accelerator Conference.

[24]  A. Lysenko,et al.  Two-Stream Free Electron Lasers: General Properties , 2003 .

[25]  W. Colson,et al.  Simulations of the 100 kW TJNAF FEL using a step-tapered undulator , 2002 .

[26]  D. Jaroszynski,et al.  Two-colour operation of the free-electron laser using a step-tapered undulator , 1995 .

[27]  Shenggang Liu,et al.  Dual undulator free-electron laser , 1993 .

[28]  G. Bekefi Double stream cyclotron maser , 1992 .

[29]  L. G. Yan,et al.  The Mini-Period Permanent Magnet Staggered Undulator for Compact X-Ray Free Electron Laser , 2019 .

[30]  H. Kawaguchi,et al.  Design of HTSC Undulator Magnet Array Based on Simulation of Magnetization Process , 2015 .

[31]  M. Couprie UNDULATOR TECHNOLOGIES FOR FUTURE FREE ELECTRON LASER FACILITIES AND STORAGE RINGS , 2013 .