Erratum: Approximate periodically focused solutions to the nonlinear Vlasov-Maxwell equations for intense beam propagation through an alternating-gradient field configuration [Phys. Rev. ST Accel. Beams2, 074401 (1999)

Ronald C Davidson,Hong Qin,Paul J Channell

doi:10.1103/physrevstab.3.029901

Abstract

Erratum: Approximate periodically focused solutions to the nonlinear Vlasov-Maxwell equations for intense beam propagation through an alternating-gradient field configuration [Phys. Rev. ST Accel. Beams<b>2</b>, 074401 (1999)

Highlights

We have detected an algebraic error in our recent paper on Hamiltonian averaging techniques in an alternatinggradient field configuration
The corrected definitions are given by dxs ෇ ax2͑s, dys ෇ ay2͑s
The detailed analysis of properties of the nonlinear Vlasov-Maxwell equations in the transformed variables and the back-transformed properties in the laboratory frame presented in Secs

Summary

Introduction

We have detected an algebraic error in our recent paper on Hamiltonian averaging techniques in an alternatinggradient field configuration. Erratum: Approximate periodically focused solutions to the nonlinear Vlasov-Maxwell equations for intense beam propagation through an alternating-gradient field configuration [Phys. The main changes are in the definitions of the coupling coefficients dxs, dys, kfx, and kfy.

Results

Conclusion