[Table of Contents]

Plasma and Fusion Research

Volume 5, 028 (2010)

Rapid Communications

Analysis of Relativistic Particle Orbit in a Transversely Focused High-Power Laser Field by Using the Noncanonical Lie Perturbation Method
Natsumi IWATA, Kenji IMADERA and Yasuaki KISHIMOTO
Department of Fundamental Energy Science, Graduate School of Energy Science, Kyoto University, Gokasho, Uji, Kyoto 611-0011, Japan
(Received 19 July 2010 / Accepted 21 July 2010 / Published 20 August 2010)


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.


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

DOI: 10.1585/pfr.5.028


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This paper may be cited as follows:

Natsumi IWATA, Kenji IMADERA and Yasuaki KISHIMOTO, Plasma Fusion Res. 5, 028 (2010).