Magnetic fields have a crucial role in physics at all scales, from
astrophysics to nanoscale phenomena. Large fields, constant or pulsed, allow
investigation of material in extreme conditions, opening up plethora of
practical applications based on ultra-fast process, and studying phenomena
existing only in exotic astro-objects like neutron stars or pulsars. Magnetic
fields are indispensable in particle accelerators, for guiding the relativistic
particles along a curved trajectory and for making them radiate in synchrotron
light sources and in free electron lasers. In the presented paper we propose a
novel and effective method for generating solenoidal quasi-static magnetic
field on the GigaGauss level and beyond, in under-dense plasma, using
screw-shaped high intensity laser pulses. In comparison with already known
techniques which typically rely on interaction with over-dense or solid
targets, where radial or toroidal magnetic field localized at the stationary
target were generated, our method allows to produce gigantic solenoidal fields,
which is co-moving with the driving laser pulse and collinear with accelerated
electrons. The solenoidal field is quasi-stationary in the reference frame of
the laser pulse and can be used for guiding electron beams and providing
synchrotron radiation beam emittance cooling for laser-plasma accelerated
electron and positron beams, opening up novel opportunities for designs of the
light sources, free electron lasers, and high energy colliders based on laser
plasma acceleration.Comment: 15 pages, 9 figures. Main text (without abstract, References and
Appendix): 12 page
