Analysis of Relativistic Particle Orbit in a Transversely Focused High-Power Laser Field by Using the Noncanonical Lie Perturbation Method

• IWATA Natsumi

  Department of Fundamental Energy Science, Graduate School of Energy Science, Kyoto University, Gokasho, Uji, Kyoto 611-0011, Japan

• IMADERA Kenji

  Department of Fundamental Energy Science, Graduate School of Energy Science, Kyoto University, Gokasho, Uji, Kyoto 611-0011, Japan

• KISHIMOTO Yasuaki

  Department of Fundamental Energy Science, Graduate School of Energy Science, Kyoto University, Gokasho, Uji, Kyoto 611-0011, Japan

Abstract

A methodology describing the particle motion in a spatially localized high-power laser field in the relativistic regime is presented based on the noncanonical Lie perturbation method, which is comprehensive compared with those based on the conventional averaging method to the equation of motion. We successfully derived the relativistic ponderomotive force in a laser field with a radial intensity gradient and the corresponding particle dynamics up to the first order with respect to the expansion parameter ε ∼ λ/L (= laser wavelength/scale length of the transverse laser amplitude). The longitudinal motion was found to be secular and characterized by a growing oscillation exhibiting a cubic dependence on the laser amplitude.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 5 028-028, 2010

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

• noncanonical perturbation method
• Lie transformation
• high intensity laser field
• ponderomotive force

Details

• CRID: 1390282680231629440
• NII Article ID: 130000442402
• DOI: 10.1585/pfr.5.028
• ISSN: 18806821
• Web Site: http://www.jstage.jst.go.jp/article/pfr/5/0/5_0_028/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed