  A strong electron current triggered by a femtosecond relativistically intense
laser pulse in a foil coil-like target is shown to be able to generate a
solenoidal-type extremely strong magnetic field. The magnetic field lifetime
sufficiently exceeds the laser pulse duration and is defined mainly by the
target properties. The process of the magnetic field generation was studied
with 3D PIC simulations. It is demonstrated that the pulse and the target
parameters allow controlling the field strength and duration. The scheme
studied is of great importance for laser-based magnetization technologies.
