Adiabatic formation of a matched-beam distribution for an alternating-gradient quadrupole lattice

Dorf, Mikhail A.; Davidson, Ronald C.; Startsev, Edward A.; Hong Qin
December 2009
Physics of Plasmas;Dec2009, Vol. 16 Issue 12, p123107
Academic Journal
The formation of a quasiequilibrium beam distribution matched to an alternating-gradient quadrupole focusing lattice by means of the adiabatic turn-on of the oscillating focusing field is studied numerically using particle-in-cell simulations. Quiescent beam propagation over several hundred lattice periods is demonstrated for a broad range of beam intensities and vacuum phase advances describing the strength of the oscillating focusing field. Properties of the matched-beam distribution are investigated. In particular, self-similar evolution of the beam density profile is observed over a wide range of system parameters. The numerical simulations are performed using the WARP particle-in-cell code.


Related Articles

  • Equilibrium of non-neutral plasmas in a Malmberg–Penning trap with quadrupole field errors. Akhmetov, Timur; Kotelnikov, Igor // Physics of Plasmas;Dec2009, Vol. 16 Issue 12, p122103 

    The effect of small quadrupole magnetic and electrostatic perturbations on the equilibrium of a non-neutral plasma confined in a Malmberg–Penning trap is analyzed on the base of the parallel current constraint derived recently [Kotelnikov and Romé, Phys. Plasmas 15, 072118 (2008)]. The...

  • Relativistically intense plane electromagnetic waves in electron–positron plasmas: Nonlinear self-modulation and harmonics generation regimes. Shiryaev, O. B. // Physics of Plasmas;Nov2006, Vol. 13 Issue 11, p112304 

    A fully nonlinear one-dimensional problem describing the interactions of relativistically intense plane electromagnetic waves and cold locally non-neutral electron–positron plasmas is derived from Maxwell and fluid dynamics equations. Numerical and asymptotic solutions to this problem for...

  • A fully kinetic, self-consistent particle simulation model of the collisionless plasma–sheath region. Procassini, R. J.; Birdsall, C. K.; Morse, E. C. // Physics of Fluids B: Plasma Physics;Dec90, Vol. 2 Issue 12, p3191 

    A fully kinetic particle-in-cell (PIC) model is used to self-consistently determine the steady-state potential profile in a collisionless plasma that contacts a floating, absorbing boundary. To balance the flow of particles to the wall, a distributed source region is used to inject particles...

  • Vacuum–plasma boundary helicity injection. Barrow, B. J.; Goldenbaum, G. C. // Physics of Fluids B: Plasma Physics;Aug92, Vol. 4 Issue 8, p2577 

    The magnetic helicity inside a volume enclosed by a conducting boundary with electrodes inserted through insulator gaps has been measured. By comparing the measured time dependence of the helicity with predictions of a numerical simulation and analytic theory, the importance of the insulator...

  • Energetic particle stabilization of the interchange mode in helically symmetric plasmas. Zheng, L.-J.; Tsai, S.-T. // Physics of Fluids B: Plasma Physics;Oct92, Vol. 4 Issue 10, p3329 

    The ELMO snaky torus concept [Furth and Boozer (private communication, 1983)] is investigated in a helically symmetric model with low beta and large aspect ratio (the curvature radius of the magnetic axis over the plasma radius). The equilibria are obtained by expansions in the inverse aspect...

  • Comments on particle and energy balance in the edge plasma of Alcator C-Mod. Umansky, M.V.; Krasheninnikov, S.I.; LaBombard, B.; Terry, J.L. // Physics of Plasmas;Sep98, Vol. 5 Issue 9, p3373 

    Observes the particle and energy balance in the edge plasma of Alcator C-Mod. Measurement of neutral gas pressure and ionization source strength in the main chamber; Dominance of plasma flow in the scrape-off layer (SOL); Details on the diffusion coefficient of the cross-field particle...

  • The spectrum of the curl operator on spherically symmetric domains. Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail // Physics of Plasmas;Jul2000, Vol. 7 Issue 7 

    This paper presents a mathematically complete derivation of the minimum-energy divergence-free vector fields of fixed helicity, defined on and tangent to the boundary of solid balls and spherical shells. These fields satisfy the equation ∇xV=λV, where λ is the eigenvalue of curl...

  • Phase space evolution in linear stabilities. Pantellini, F.G.E.; Burgess, D.; Schwartz, S.J. // Physics of Plasmas;Dec94, Vol. 1 Issue 12, p3784 

    Presents a method for investigating the linear evolution of particle distribution functions in kinetic stabilities in a homogeneous collisionless plasma. Applicability of the method to any kind of instability; Estimation of wave amplitude at the end of the linear phase of growth; Didactic...

  • Omnigenity and quasihelicity in helical plasma confinement systems. Cary, John R.; Shasharina, Svetlana G. // Physics of Plasmas;Sep97, Vol. 4 Issue 9, p3323 

    Examines the omnigenity and quasihelicity in helical plasma confinement systems. Motion of guiding centers given by the Littlejohn Lagrangrian; boozer coordinates; Two-helicity model; Quasihelical systems; Deeply trapped particles.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics